Renormalization and two loop electroweak corrections to lepton anomalous dipole moments in the standard model and beyond (I): heavy fermion contributions

Abstract

Applying effective Lagrangian method and on-shell scheme, we analyze the electroweak corrections to anomalous dipole moments of lepton from some special two loop diagrams in which a closed heavy fermion loop is attached to the virtual gauge bosons or Higgs fields. As the masses of virtual fermions in inner loop are much heavier than the electroweak scale, we verify the final results satisfying the decoupling theorem explicitly if the interactions among Higgs and heavy fermions do not contain the nondecoupling couplings. At the decoupling limit, we also present the leading corrections to lepton anomalous dipole moments from those two loop diagrams in some popular extensions of the standard model, such as the fourth generation, supersymmetry, universal extra dimension, and the littlest Higgs with T-parity.

revtex, 48 pages, including 10 figures

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• Two-Loop Corrections to the Muon Magnetic Moment from Fermion/Sfermion Loops in the MSSM: Detailed Results
• Photonic SUSY Two-Loop Corrections to the Muon Magnetic Moment
• Non-decoupling two-loop corrections to (g-2)_μ from fermion/sfermion loops in the MSSM
• Lepton-flavor violation and two loop electroweak corrections to $(g-2{)}_{\mu }$ in the B-L symmetry SSM
• Study muon g-2 at two-loop level in the $U(1{)}_X$SSM
• The corrections from one loop and two-loop Barr-Zee type diagrams to muon MDM in BLMSSM
• Lepton-flavor violation and $(g-2{)}_{\mu }$ in the $\mu \nu$SSM
• Neutron electric dipole moment in CP violating BLMSSM
• Higgs boson decay $h\to Z\gamma$ and muon magnetic dipole moment in the $\mu \nu$SSM
• 125 GeV Higgs decay with lepton flavor violation in the $\mu \nu$SSM
• Transition magnetic moment of Majorana neutrinos in the $\mu \nu$SSM
• The two-loop contributions to muon MDM in $U(1{)}_X$ SSM
• Muon anomalous magnetic dipole moment in the $\mu \nu$SSM
• The two-loop corrections to lepton MDMs and EDMs in the EBLMSSM
• Search for charged lepton flavor violation of vector mesons in BLMSSM model
• Gravitational waves from the phase transition in the B-LSSM
• The Feynman rules for neutrinos and new neutralinos in BLMSSM
• Neutralino dark matter in the extension of MSSM with two triplets and singlet
• $Z\to l_i^{\pm }{l}_j^{\mp }$ processes in the BLMSSM
• The naturalness in the BLMSSM and B-LSSM
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• Lepton-flavor violation and two loop electroweak corrections to $(g-2{)}_{\mu }$ in the triplets