1. ρ parameter and H0→ℓiℓj in models with TeV sterile neutrinos
- Author
-
J. I. Illana, Manuel Masip, and G. Hernández-Tomé
- Subjects
Physics ,Sterile neutrino ,Particle physics ,010308 nuclear & particles physics ,High Energy Physics::Phenomenology ,0103 physical sciences ,Yukawa potential ,Higgs boson ,High Energy Physics::Experiment ,Neutrino ,010306 general physics ,01 natural sciences ,Lepton - Abstract
The presence of massive sterile neutrinos $N$ mixed with the active ones induces flavor violating processes in the charged lepton sector at the loop level. In particular, the amplitude of ${H}^{0}\ensuremath{\rightarrow}{\overline{\ensuremath{\ell}}}_{i}{\ensuremath{\ell}}_{j}$ is expected to be proportional to the product of heavy-light Yukawa couplings ${y}_{i}{y}_{j}=2{s}_{{\ensuremath{\nu}}_{i}}{s}_{{\ensuremath{\nu}}_{j}}{m}_{N}^{2}/{v}^{2}$, where ${s}_{{\ensuremath{\nu}}_{i,j}}$ express the heavy-light neutrino mixings. Here, we revisit these Higgs decays in the most generic extension of the neutrino sector, focusing on large values of ${y}_{i}$. We show that decoupling effects and a cancellation between the two dominant contributions to these processes makes the amplitude about 100 times smaller than anticipated. We find that perturbative values of ${y}_{i}$ giving an acceptable contribution to the $\ensuremath{\rho}$ parameter imply $\mathcal{B}({H}^{0}\ensuremath{\rightarrow}{\overline{\ensuremath{\ell}}}_{i}{\ensuremath{\ell}}_{j})l{10}^{\ensuremath{-}8}$ for any lepton flavors, a rate that is not accessible at current colliders.
- Published
- 2020