Bounds on Lorentz-violating Yukawa couplings via lepton electromagnetic moments

Date
2021-12
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Benemérita Universidad Autónoma de Puebla
Abstract
"The following investigation has been performed within the Lorentz and CP T violating Standard Model Extension, an effective field theory that sets a quite general framework to quantify, at relatively low energies, effects to be expected from a higher energy formulation incorporating violation of Lorentz invariance. The discussion has been restricted to couplings occurring in the Yukawa sector of the renormalizable part of the Standard Model Extension studying the contributions to anomalous magnetic moment (AMM) and electric dipole moment (EDM) of charged leptons and nucleons which are invariant under Lorentz particle transformations, these effects are calculated and discussed. In a perturbative approach, treating Lorentz violating quadratic lepton couplings as two point insertions in Feynman diagrams, explicit expressions of leading contributions are derived and upper bounds on Lorentz violation coefficients from current data of AMMs and EMDs are estimated. For the lepton analysis, two scenarios involving these coefficients are examined. The scenario of two point insertions preserving lepton flavor, the bound on the electron EDM yields limits as stringent as 10−27, whereas muon and tau lepton have bounds as restrictive as 10−14 and 10−5, respectively".
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