1. CoDEx: Wilson coefficient calculator connecting SMEFT to UV theory
- Author
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Sunando Kumar Patra, Supratim Das Bakshi, and Joydeep Chakrabortty
- Subjects
High Energy Physics - Theory ,Hypercharge ,Wilson loop ,Physics and Astronomy (miscellaneous) ,FOS: Physical sciences ,lcsh:Astrophysics ,Field (mathematics) ,01 natural sciences ,High Energy Physics - Experiment ,High Energy Physics - Experiment (hep-ex) ,Theoretical physics ,Matrix (mathematics) ,High Energy Physics - Phenomenology (hep-ph) ,lcsh:QB460-466 ,0103 physical sciences ,Effective field theory ,lcsh:Nuclear and particle physics. Atomic energy. Radioactivity ,010306 general physics ,Engineering (miscellaneous) ,Spin-½ ,Physics ,010308 nuclear & particles physics ,Propagator ,High Energy Physics - Phenomenology ,Standard Model (mathematical formulation) ,High Energy Physics - Theory (hep-th) ,lcsh:QC770-798 - Abstract
CoDEx is a Mathematica package that calculates the Wilson Coefficients (WCs) corresponding to effective operators up to mass dimension-6. Once the part of the Lagrangian involving single as well as multiple degenerate heavy fields, belonging to some Beyond Standard Model (BSM) theory, is given, the package can then integrate out propagators from the tree as well as 1-loop diagrams of that BSM theory. It then computes the associated WCs up to 1-loop level, for two different bases: "Warsaw" and "SILH". CoDEx requires only very basic information about the heavy field(s), e.g., Colour, Isospin, Hyper-charge, Mass, and Spin. The package first calculates the WCs at the high scale (mass of the heavy field(s)). We then have an option to perform the renormalisation group evolutions (RGEs) of these operators in "Warsaw" basis, a complete one (unlike "SILH"), using the anomalous dimension matrix. Thus, one can get all effective operators at the electro-weak scale, generated from any such BSM theory, containing heavy fields of spin: 0, 1/2, and 1. We have provided many example models (both here and in the package-documentation) that more or less encompass different choices of heavy fields and interactions. Relying on the status of the present day precision data, we restrict ourselves up to dimension-6 effective operators. This will be generalised for any dimensional operators in a later version. Site: https://effexteam.github.io/CoDEx, Comment: 25 pages, 1 figure, corrections and citations added
- Published
- 2019
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