Search

We study the lightest Higgs boson decays h → MZ in the μ from ν supersymmetric standard model (μνSSM), where M is a vector meson (ρ, ω, ϕ, J/Ψ, Υ). Compared to the minimal supersymmetric standard model (MSSM), the μνSSM introduces three right-handed neutrino superfields, which lead to the mixing of the Higgs doublets with the right-handed sneutrinos. The mixing affects the lightest Higgs boson mass and the Higgs couplings. In suitable parameter space, the μνSSM can give large new physics (NP) contributions to the signal strengths of h → MZ and h → γγ, which may be detected by a 100 TeV collider or the other future high energy colliders.

We present the Gel'fand-Kapranov-Zelevinsky (GKZ) hypergeometric systems of the Feynman integrals of the three-loop vacuum diagrams with arbitrary masses, basing on Mellin-Barnes representations and Miller's transformation. The codimension of derived GKZ hypergeometric systems equals the number of independent dimensionless ratios among the virtual masses squared. Through GKZ hypergeometric systems, the analytical hypergeometric series solutions can be obtained in neighborhoods of origin including infinity. The linear independent hypergeometric series solutions whose convergent regions have non-empty intersection can constitute a fundamental solution system in a proper subset of the whole parameter space. The analytical expression of the vacuum integral can be formulated as a linear combination of the corresponding fundamental solution system in certain convergent region., 49 pages, 2 figures and 1 Ancillary file (3LVFIGKZ.nb for supplementary material), Published by JHEP

Based on the gauge symmetry group SU(3)C ⨂ SU(2)L ⨂ U(1)Y ⨂ U(1)B–L, the minimal supersymmetric extension of the SM with local B-L gauge symmetry(B-LSSM) has been introduced. In this model, we study the Higgs masses with the one-loop zero temperature effective potential corrections. Besides, the finite temperature effective potentials connected with two U(1)B-L Higgs singlets are deduced specifically. Then we can obtain the gravitational wave spectrums generated from the strong first-order phase transition. In the B-LSSM, with the fine-tuned parameter regions, we can obtain the strength parameter αθ ~ 0.14 and the ratio of speed to Hubble rate β/Hn ~ 5 at nucleation temperature, and then obtain observable gravitational wave signals. The gravitational wave signals can be as strong as h2ΩGW ~ 10–9, which may be detectable in the future experiments.

Recently, the Muon g-2 experiment at Fermilab has measured the muon anomalous magnetic dipole moment (MDM), $a_\mu=(g_\mu-2)/2$, which reported that the new experimental average increases the tension between experiment and the standard model (SM) prediction to 4.2$\sigma$. In this work, we reanalyse the muon anomalous MDM at two-loop level in the $\mu$ from $\nu$ Supersymmetric Standard Model ($\mu\nu$SSM) combined with the updated experimental average. The $\mu\nu$SSM can explain the current tension between the experimental measurement and the SM theoretical prediction for the muon anomalous MDM, constrained by the 125 GeV Higgs boson mass and decays, the rare decay $\bar{B}\rightarrow X_s\gamma$ and so on. We also investigate the anomalous MDM of the electron and tau lepton, $a_e=(g_e-2)/2$ and $a_\tau=(g_\tau-2)/2$, at two-loop level in the $\mu\nu$SSM. In addition, the 125 GeV Higgs boson decays to a pair of charged leptons in the $\mu\nu$SSM are also analysed., Comment: 26 pages, 10 figures, to be published in Chinese Physics C. arXiv admin note: text overlap with arXiv:2011.04281

Higgs pair production provides a unique handle for measuring the strength of Higgs self interaction and constraining the shape of the Higgs potential. Including radiative corrections to the trilinear couplings of $CP$-even Higgs, we investigate the cross section of the lightest neutral Higgs pair production in gluon fusion at the Large Hadron Collider in the supersymmetric extensions of the standard model. Numerical results indicate that the correction to the cross section is about 11\% in the B-LSSM, while is only about 4\% in the MSSM. Considering the constraints of the experimental data of the lightest Higgs, we find that the gauge couplings of $U(1)_{B-L}$ and the ratio of the nonzero vacuum expectation values of two singlets also affect strongly the theoretical evaluations on the production cross section in the B-LSSM., 37 pages, 13 figures, accepted for publication in Journal of Physics G: Nuclear and Particle Physics

Recently several new bounds of the lepton flavor violating decays of the neutral vector mesons $J/\psi$ and $\Upsilon(nS)$ are reported from the experiments. In the work, we analyze these processes in the scenario of the minimal R-symmetric supersymmetric standard model by means of the effective Lagrangian method. The predicted branching ratios are affected by the mass insertion parameters $\delta^{ij}$ and the contributions from different parts are comparable. Taking account of the constraints on the mass insertion parameters from the experiments, the branching ratios for the most promising processes $\Upsilon(nS)\rightarrow l\tau$ are predicted to be ten orders of magnitude smaller than the present experimental bounds., Comment: 18 pages, 10 figures

$U(1)_X$SSM is the extension of the minimal supersymmetric standard model(MSSM) and its local gauge group is $SU(3)_C\times SU(2)_L \times U(1)_Y \times U(1)_X$. To obtain this model, three singlet new Higgs superfields and right-handed neutrinos are added to MSSM. In the framework of $U(1)_X$SSM, we study the Higgs mass and take the lightest CP-even sneutrino as a cold dark matter candidate. For the lightest CP-even sneutrino, the relic density and the cross section for dark matter scattering off nucleon are both researched. In suitable parameter space of the model, the numerical results satisfy the constraints of the relic density and the cross section with the nucleon., Comment: 28 pages, 6 figures

The difference between the updated experimental result on the muon anomalous magnetic dipole moment and the corresponding theoretical prediction of the standard model on that is about $4.2$ standard deviations. In this work, we calculate the muon anomalous MDM at the two-loop level in the supersymmetric $B-L$ extension of the standard model. Considering the experimental constraints on the lightest Higgs boson mass, Higgs boson decay modes $h\rightarrow \gamma\gamma,\;WW,\;ZZ,\; b\bar b,\;\tau\bar\tau$, B rare decay $\bar B\rightarrow X_s\gamma$, and the transition magnetic moments of Majorana neutrinos, we analyze the theoretical predictions of the muon anomalous magnetic dipole moment in the $B-L$ supersymmetric model. The numerical analyses indicate that the tension between the experimental measurement and the standard model prediction is remedied in the $B-L$ supersymmetric model., Comment: 22pages, 8figures

Basing on the systems of linear partial differential equations derived from Mellin-Barnes representations and Miller's transformation, we obtain GKZ-hypergeometric systems of one-loop self energy, one-loop triangle, two-loop vacuum, and two-loop sunset diagrams, respectively. The codimension of derived GKZ-hypergeometric system equals the number of independent dimensionless ratios among the external momentum squared and virtual mass squared. Taking GKZ-hypergeometric systems of one-loop self energy, massless one-loop triangle, and two-loop vacuum diagrams as examples, we present in detail how to perform triangulation and how to construct canonical series solutions in the corresponding convergent regions. The series solutions constructed for these hypergeometric systems recover the well known results in literature., Comment: 32 pages, 1 figure

To solve the μ problem and generate three tiny neutrino masses in the MSSM, the μ from ν Supersymmetric Standard Model (μνSSM) introduces three singlet right- handed neutrino superfields, which lead to the mixing of the Higgs doublets with the sneutrinos. The mixing affects the lightest Higgs boson mass and the Higgs couplings. The present observed 95% CL upper limit on signal strength of the 125 GeV Higgs boson decay h → Zγ is 6.6, which still is plenty of space to prove the existence of new physics. In this work, we investigate the signal strength of the 125 GeV Higgs boson decay channel h → Zγ in the μνSSM. Besides, we consider the two-loop electroweak corrections of muon anomalous magnetic dipole moment (MDM) in the model, which also make important contributions compared with one-loop electroweak corrections.

The $U(1)_X$ extension of the minimal supersymmetric standard model(MSSM) is called as $U(1)_X$SSM with the local gauge group $SU(3)_C\times SU(2)_L \times U(1)_Y \times U(1)_X$. $U(1)_X$SSM has three singlet Higgs superfields beyond MSSM. In $U(1)_X$SSM, the mass matrix of neutralino is $8\times8$, whose lightest mass eigenstate possesses cold dark matter characteristic. Supposing the lightest neutralino as dark matter candidate, we study the relic density. For dark matter scattering off nucleus, the cross sections including spin-independent and spin-dependent are both researched. In our numerical results, some parameter space can satisfy the constraints from the relic density and the experiments of dark matter direct detection., Comment: 23 pages, 9 figures

In-depth structural characterization has been performed to investigate the structural evolution in ZrC-SiC under irradiation by high dose of 4 MeV Au2+ ions. XRD, SEM, TEM and Raman examinations have been utilized in the present study. The damage depth in SiC (∼1.55 μm) is found deeper than in ZrC (∼1.22 μm). SiC became amorphous under irradiation accompanied by volume expansion. ZrC kept crystalline but enhanced the formation of carbon vacancies and exhibited high density of dislocations whose structures varied with depth. Compressive stress due to swelling in amorphization of SiC result in 0.49% shrinkage of lattice parameters of ZrC unit cell. The grain boundaries kept structural integrity without occurrence of cracks or broadening, which implies absence of large degradation in mechanical properties of ZrC-SiC composite after irradiation.

The hypergeometric function method naturally provides the analytic expressions of scalar integrals from concerned Feynman diagrams in some connected regions of independent kinematic variables, also presents the systems of homogeneous linear partial differential equations satisfied by the corresponding scalar integrals. Taking examples of the one-loop $B_{_0}$ and massless $C_{_0}$ functions, as well as the scalar integrals of two-loop vacuum and sunset diagrams, we verify our expressions coinciding with the well-known results of literatures. Based on the multiple hypergeometric functions of independent kinematic variables, the systems of homogeneous linear partial differential equations satisfied by the mentioned scalar integrals are established. Using the calculus of variations, one recognizes the system of linear partial differential equations as stationary conditions of a functional under some given restrictions, which is the cornerstone to perform the continuation of the scalar integrals to whole kinematic domains numerically with the finite element methods. In principle this method can be used to evaluate the scalar integrals of any Feynman diagrams., Comment: 39 pages, including 2 ps figures

Using the corresponding Mellin–Barnes representation, we derive holonomic hypergeometric system of linear partial differential equations (PDEs) satisfied by Feynman integral of a three-loop vacuum with five propagators. Through the multidimensional residue theorem in dimensional regularization, the scalar integral can be written as the summation of multiple hypergeometric functions, whose convergent regions can be obtained by the Horn’s convergent theory. The numerical continuation of the scalar integral from convergent regions to whole kinematic regions can be accomplished with the finite element methods, when the system of PDEs can be treated as the stationary conditions of a functional under the restrictions.

The theoretical predictions in the standard model (SM) and measurements on the anomalous magnetic dipole moments (MDM) of muon and electron have great precision, hence the MDMs of muon and electron have close relation with the new physics (NP) beyond the SM. Recently, a negative $\sim2.4\sigma$ discrepancy between the measured electron MDM and the SM prediction results from a recent improved determination of the fine structure constant. Combined with the long-lasting muon MDM discrepancy which is about $\sim3.7\sigma$, it is difficult to explain both the magnitude and opposite signs of the deviations in a consistent model, without introducing large flavour-violating effects. The analysis shows that they can be explained in the minimal supersymmetric extension (MSSM) of the SM with local $B-L$ gauge symmetry (B-LSSM). Comparing with the MSSM, new parameters in the B-LSSM can affect the theoretical predictions on lepton MDMs, and the effects of them are explored., Comment: 18 pages, 6figures

We present an approach to analyze the scalar integrals of any Feynman diagrams in detail here. This method not only completely recovers some well-known results in the literature, but also produces some brand new results on the $C_{_0}$ function. The approach can be employed to evaluate the coefficient of arbitrary power of $\varepsilon$ in the expansion of a scalar integral, where $D=4-2\varepsilon$ denotes the time-space dimension., Latex, 68 pages

We perform an analysis on B-0-(B) over bar (0) mixing in the extension of the minimal supersymmetric standard model where baryon and lepton numbers are local gauge symmetries (BLMSSM) by using the effective Hamiltonian method. And the constraint of a 125 GeV Higgs to the parameter space has also been considered. The numerical results indicate that the contributions of the extra particles can be sizeable in B-0-(B) over bar (0) mixing. For certain parameter sets, the theoretical prediction of mass differences Delta(mB) agrees with the current experimental result. Furthermore, B-0-(B) over bar (0) mixing in the BLMSSM can preliminarily constrain the parameter space. With the development of more precise theoretical analysis and experimental determinations, the B-0-(B) over bar (0) mixing in the BLMSSM will have a clearer picture and the parameter space in this model will also be further constrained. (C) 2014 The Authors. Published by Elsevier B.V.

Lepton flavor violation decays are channels which may lead to fundamental discoveries in the forthcoming years and this makes it an exciting research field for beyond the Standard Model (SM) searches. In this work, we present an analysis of the lepton flavor violation decays [Formula: see text] in Minimal R-symmetric Supersymmetric Standard Model. The prediction for [Formula: see text] depends on the off-diagonal entries of the slepton mass matrix. The contributions to Wilson coefficients can be classified into Higgs penguins, photon penguins, Z penguins and box diagrams. It shows the contribution from Z penguins dominates the predictions for [Formula: see text], and the contributions from Higgs penguins and box diagrams play different roles in different decay channels. The theoretical predictions for [Formula: see text] can reach the future experimental limits, and the channels are very promising to be observed in near future experiment.

A hypergeometric function is proposed to calculate the scalar integrals of Feynman diagrams. In this study, we verify the equivalence between the Feynman parametrization and the hypergeometric technique for the scalar integral of the three-loop vacuum diagram with four propagators. The result can be described in terms of generalized hypergeometric functions of triple variables. Based on the triple hypergeometric functions, we establish the systems of homogeneous linear partial differential equations (PDEs) satisfied by the scalar integral of three-loop vacuum diagram with four propagators. The continuation of the scalar integral from its convergent regions to entire kinematic domains can be achieved numerically through homogeneous linear PDEs by applying the element method.

We analyze the one-loop correction to [Formula: see text] decay in framework of Minimal R-symmetric Supersymmetric Standard Model (MRSSM) in detail with normal and inverse neutrino mass orderings, as a function of [Formula: see text], Dirac mass parameters [Formula: see text] and [Formula: see text], slepton mass [Formula: see text] that parametrize the mass matrices. The numerical results indicate that the branching ratio for [Formula: see text] decay is compatible with the experimental measurement and the SM expectation at [Formula: see text] level. For inverse neutrino mass ordering, the prediction exceeds the SM expectation at [Formula: see text] level. The prediction on [Formula: see text] increases proportionally to [Formula: see text] and inversely proportionally to [Formula: see text]. For normal neutrino mass ordering, the peak value of the prediction on [Formula: see text] exceeds the SM expectation at [Formula: see text] level.

Within framework of thefrom ν Supersymmetric Standard Model (�νSSM), exotic singlet right-handed neutrino superfields induce new sources for lepton- flavor violation. In this work, we investigate some lepton-flavor violating processes in detail in the �νSSM. The numerical results indicate that the branching ratios for lepton-flavor violating processes � → eγ, τ → �γ and � → 3e can reach 10 −12 when tanβ is large enough, which can be detected in near future. We also discuss the constraint on the relevant parameter space of the model from the muon anomalous magnetic dipole moment. In addition, from the scalars for the �νSSM we strictly separate the Goldstone bosons, which disappear in the physical gauge.

Assuming that the Yukawa couplings between the Higgs and exotic quarks cannot be ignored, we analyze the signals of decay channels h → γ γ and h → V V ⁎ ( V = Z , W ) with the Higgs mass around 125 GeV in a supersymmetric extension of the standard model where baryon and lepton numbers are local gauge symmetries. Adopting some assumptions on relevant parameter space, we can account for the experimental data on Higgs from ATLAS and CMS naturally.

The neutrino masses and mixings are studied in the model which is the supersymmetric extension of the standard model with local gauged baryon and lepton numbers(BLMSSM). At tree level the neutrinos can obtain tiny masses through the See-Saw mechanism in the BLMSSM. The one-loop corrections to the neutrino masses and mixings are important, and they are studied in this work with the mass insertion approximation. We study the numerical results and discuss the allowed parameter space of BLMSSM. It can contribute to study the neutrino masses and to explore the new physics beyond the standard model(SM)., Comment: 19pages, 12figures

The deviation of the measurement of $R_{D}$ ($R_{D^{*}}$) from the Standard Model (SM) expectation is $2.3\sigma$ ($3.1\sigma$). $R_{D}$ ($R_{D^{*}}$) is the ratio of the branching fraction of $\overline{B} \rightarrow D\tau\overline{\nu}_{\tau}$ ($\overline{B} \rightarrow D^{*}\tau\overline{\nu}_{\tau}$) to that of $\overline{B} \rightarrow Dl\overline{\nu}_{l}$ ($\overline{B} \rightarrow D^{*}l\overline{\nu}_{l}$), where $l = e$ or $\mu$. This anomaly may imply the existence of new physics (NP). In this paper, we restudy this problem in the supersymmetric extension of the Standard Model with local gauged baryon and lepton numbers (BLMSSM), and give one-loop corrections to $R_{D}$ ($R_{D^{*}}$).

We investigate the 125 GeV Higgs boson decay to a pseudoscalar quarkonium [Formula: see text] and [Formula: see text] boson. We calculate the quantum chromodynamics (QCD) one-loop corrections to the branching ratio of the process, [Formula: see text], both in the Standard Model (SM) and in the two Higgs double models (THDM). Adding the QCD one-loop corrections, the branching ratio of [Formula: see text] in the SM is [Formula: see text]. The relative correction of that QCD one-loop level relative to the tree level of [Formula: see text] is around 76% in the SM. Similarly, the relative correction in the THDM also can be around 75%. The key parameter, [Formula: see text], can affect the relative correction in the THDM.

In a supersymmetric extension of the standard model with local gauged baryon and lepton numbers (BLMSSM), there are new sources for lepton flavor violation, because the right-handed neutrinos and new gauginos are introduced. In BLMSSM, we study the charged lepton flavor violating processes $l_j\rightarrow l_i+\gamma$ and $l_j\rightarrow 3l_i$ in detail. The numerical results show that in some parameter space the branching ratios for charged lepton flavor violating processes can be large enough to be detected in the near future.

Recently, the CMS and ATLAS Collaborations have reported direct searches for the 125 GeV Higgs decay with lepton flavor violation, $h\rightarrow \mu \tau$. In this work, we analyze the signal of the lepton flavour violating (LFV) Higgs decay $h\rightarrow \mu \tau$ in the $\mu$ from $\nu$ Supersymmetric Standard Model ($\mu\nu$SSM) with slepton flavor mixing. Simultaneously, we consider the constraints from the LFV decay $\tau \rightarrow \mu \gamma$, the muon anomalous magnetic dipole moment and the lightest Higgs mass around 125 GeV., Comment: 26 pages, 4 figures, accepted for publication by Chinese Physics C

Complete expressions of the $\overline{s}bg$ and $\overline{s}b\ensuremath{\gamma}$ vertices are derived in the framework of minimal supersymmetric extension of the standard model with local $B\ensuremath{-}L$ gauge symmetry. With some assumptions on parameters of the model, a numerical analysis of the supersymmetric contributions to the branching ratio and $CP$-asymmetry of $\overline{B}\ensuremath{\rightarrow}{X}_{s}\ensuremath{\gamma}$ is presented.

In a supersymmetric extension of the Standard Model(SM) where baryon and lepton numbers are local gauge symmetries (BLMSSM), we investigate the charged lepton flavor violating (CLFV) processes $Z\rightarrow l_i^{\pm}l_j^{\mp}$ after introducing the new gauginos and the right-handed neutrinos. In this model, the branching ratios of $Z\rightarrow l_i^{\pm}l_j^{\mp}$ are around ($10^{-8}\sim10^{-10}$), which approach the present experimental upper bounds. We hope that the branching ratios for these CLFV processes can be detected in the near future.

In a supersymmetric extension of the standard model where baryon and lepton numbers are local gauge symmetries(BLMSSM) and the Yukawa couplings between Higgs doublets and exotic quarks are considered, we study the one loop diagrams and the two-loop Barr-Zee type diagrams with a closed Fermi(scalar) loop between the vector Boson and Higgs. Using the effective Lagrangian method, we deduce the Wilson coefficients of dimension 6 operators contributing to the anomalous magnetic moment of muon, which satisfies the electromagnetic gauge invariance. In the numerical analysis, we consider the experiment constraints from Higgs and neutrino data. In some parameter space, the new physics contribution is large and even reaches $24\times10^{-10}$, which can remedy the deviation well., 35 pages, 10 figures

We precisely derive the mass squared matrices for charged and neutral (CP-odd and CP-even) Higgs, as well as the mass matrices for neutrino-neutralino and charged lepton-chargino in the minimal R-parity violating supersymmetry with local U(1)(B-L) symmetry. In the framework the nonzero TeV scale vacuum expectations of right-handed sneutrinos induce the heavy mass of neutral U(1)(B-L) gauge bosons and result in relatively large mixing between the lightest CP-even Higgs and the right-handed sneutrinos when we include the one-loop corrections to the scalar potential. We numerically show that there is parameter space of the considered model to accommodate experimental data on the new ones of Higgs signal from the LHC and experimental observations on the neutrino oscillation simultaneously.

The $\mu\nu$SSM, one of supersymmetric extensions of the Standard Model, introduces three right-handed neutrino superfields to solve the $\mu$ problem and violates lepton number. Within framwork of the $\mu\nu$SSM, we investigate the lepton flavor violating (LFV) processes $Z\rightarrow l_i^\pm l_j^\mp$ with slepton flavor mixing. Simultaneously, we consider the LFV processes $l_j^-\rightarrow l_i^-\gamma$, $l_j^- \rightarrow l_i^- l_i^- l_i^+$ and muon conversion to electron in nuclei., Comment: 19 pages, 3 figures, 1 table, accepted for publication in the Int. J. Mod. Phys. A

Recently the ATLAS and CMS Collaborations have reported significant events that are attributed to the neutral Higgs boson with mass around 125 GeV. In this work, we investigate the signals of the Higgs boson decay channels $h\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\gamma}$, $h\ensuremath{\rightarrow}V{V}^{*}\text{ }(V=Z,W)$, and $h\ensuremath{\rightarrow}f\overline{f}\text{ }(f=b,\ensuremath{\tau})$ in the $\ensuremath{\mu}$ from $\ensuremath{\nu}$ supersymmetric standard model ($\ensuremath{\mu}\ensuremath{\nu}\mathrm{SSM}$). In the numerical results, we show the light stop and stau effects on the signal strengths for the 125 GeV Higgs boson decay channels in the $\ensuremath{\mu}\ensuremath{\nu}$SSM, which can account for the updated experimental data on Higgs.

The nonzero vacuum expectative values of sneutrinos induce spontaneously R-parity and lepton number violation, and generate three tiny Majorana neutrino masses through the seesaw mechanism in the $\mu\nu$SSM, which is one of Supersymmetric extensions beyond Standard Model. Applying effective Lagrangian method, we study the transition magnetic moment of Majorana neutrinos in the model here. Under the constraints from neutrino oscillations, we consider the two possibilities on the neutrino mass spectrum with normal or inverted ordering., Comment: 20 pages, 2 figures, accepted for publication in JHEP. arXiv admin note: text overlap with arXiv:1305.4352, arXiv:1304.6248

We investigate the lepton flavor violation decays of vector mesons in the scenario of the unparticle physics by considering the constraint from $\mu-e$ conversion. In unparticle physics, the predictions of LFV decays of vector mesons depend strongly on the scale dimension $d_{\mathcal{U}}$. The predictions of LFV decays of vector mesons can reach the detective sensitivity in experiment in region of $3\le d_{\mathcal{U}}\le 4$, while the prediction of $\mu-e$ conversion rate can meet the experimental upper limit. For the searching of the lepton flavor violation processes of charged lepton sector in experiment, the process $\Upsilon\rightarrow e\mu$ may be a promising one to be observed., Comment: 10 pages, 3 figures

Considering the CP violating phases, we analyze the neutron electric dipole moment (EDM) in a CP violating supersymmetric extension of the standard model where baryon and lepton numbers are local gauge symmetries(BLMSSM). The contributions from the one loop diagrams and the Weinberg operators are taken into account. Adopting some assumptions on the relevant parameter space, we give the numerical results analysis. The numerical results for neutron EDM can reach $1.05\times 10^{-25}(this http URL)$, which is about the experimental upper limit.

Within framework of the $\mu$ from $\nu$ Supersymmetric Standard Model ($\mu\nu$SSM), three exotic right-handed neutrino superfields induce new sources for lepton-flavor violation. In this work, we investigate muon conversion to electron in nuclei within the $\mu\nu$SSM in detail. With a 125 GeV Higgs, the numerical results indicate that the $\mu-e$ conversion rates in nuclei within the $\mu\nu$SSM can reach the experimental upper bound, which could be detected with the future experimental sensitivities., Comment: 32 pages, 5 figures, a version accepted in JHEP. arXiv admin note: substantial text overlap with arXiv:1304.6248

Assuming that the corrections to relevant Wilson coefficients from new physics (NP) contain the possible CP phases, we analyze the constraints on the NP corrections from the updated experimental data on rare B decays from LHCb, BABAR, and BELLE, etc. systematically. Through global fit among the theoretical evaluations and corresponding experimental observations, we find that the possible CP phases of the corrections to relevant Wilson coefficients from NP affect the allowed parameter space obviously.

In a supersymmetric extension of the standard model where baryon and lepton numbers are local gauge symmetries(BLMSSM), we deduce the Feynman rules for neutrinos and new neutralinos. We briefly introduce the mass matrices for the particles and the related couplings in this work, which are very useful to research the neutrinos and new neutralinos.

Complete expressions of effective Hamilton for [Formula: see text][Formula: see text] are derived in the framework of minimal supersymmetric extension of the standard model with local [Formula: see text] gauge symmetry. With some assumptions on parameters of the model, a numerical analysis of the supersymmetric contributions to the branching ratios of [Formula: see text][Formula: see text] is presented.

The $\mu\nu$SSM, one of supersymmetric extensions beyond the Standard Model, introduces three singlet right-handed neutrino superfields to solve the $\mu$ problem and can generate three tiny Majorana neutrino masses through the seesaw mechanism. In this work, we investigate the rare decay process $\bar{B}\rightarrow X_s\gamma$ in the $\mu\nu$SSM, under a minimal flavor violating assumption for the soft breaking terms. Constrained by the SM-like Higgs with mass around 125 GeV, the numerical results show that the new physics can fit the experimental data for $\bar{B}\rightarrow X_s\gamma$ and further constrain the parameter space., Comment: 18 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1407.7365

We analyze the CP asymmetry in flavor-specific decays [Formula: see text] for the [Formula: see text] mixing in the extension of the minimal supersymmetric standard model where baryon and lepton numbers are local gauge symmetries (BLMSSM). Considering the constraint of a 125 GeV Higgs, the numerical results indicate that the theoretical prediction of [Formula: see text] agrees with the current experimental result. For certain parameter sets, the BLMSSM contributions can be sizeable in [Formula: see text] mixing and CP asymmetry in B decays, which may help understand questions in cosmology.

Within framework of the μ from ν Supersymmetric Standard Model ( μνSSM ), exotic singlet right-handed neutrino superfields induce new sources for lepton-flavor violation. In this work, we investigate some lepton-flavor violating processes in detail in the μνSSM . The numerical results indicate that the branching ratios for lepton-flavor violating processes μ→eγ , τ→μγ and μ→3e can reach 10−12 when tan β is large enough, which can be detected in near future. We also discuss the constraint on the relevant parameter space of the model from the muon anomalous magnetic dipole moment. In addition, from the scalars for the μνSSM we strictly separate the Goldstone bosons, which disappear in the physical gauge.

In the CP-violating minimal supersymmetric extension of the Standard Model (MSSM), we study the two-loop diagrams without the one-loop self-energy, and they are composed of virtual neutralino–slepton-Z. We obtain electroweak corrections to the anomalous magnetic dipole moment (MDM) of muon. With electromagnetic gauge invariance, the Wilson coefficients of dimension-5 operators contributing to the MDM of muon are deduced. To remove the ultra-violet divergences induced by the divergent sub-diagrams, we use the on-shell scheme. The numerical results are about 8.8×10-11, i.e. at the same order of present experimental precision, which indicates these two-loop diagrams are important.

Recently, several reactor oscillation experiments have successively measured a nonzero value for the neutrino mixing angle θ13, which is greater than five standard deviations. Within framework of the μ from ν Supersymmetric Standard Model (μνSSM), three tiny neutrino masses are generated at the tree level through TeV scale seesaw mechanism. In this work, we analyze the neutrino masses and mixing in the μνSSM with a "top-down" method, assuming neutrino mass spectrum with normal ordering or inverted ordering.

In the supersymmetric model with local gauged baryon and lepton numbers(BLMSSM), the CP violating effects are considered to study the lepton electric dipole moment(EDM). The CP violating phases in BLMSSM are more than those in the standard model(SM) and can give large contributions. The analysis of the EDMs for the leptons $e,\mu, \tau$ is shown in this work. It is in favour of exploring the source of CP violation and probing the physics beyond SM., Comment: 20 pages, 10figures