Leading order one-loop CP and P violating effective action in the Standard Model

Abstract

The fermions of the Standard Model are integrated out to obtain the effective Lagrangian in the sector violating P and CP at zero temperature. We confirm that no contributions arise for operators of dimension six or less and show that the leading operators are of dimension eight. To assert this we explicitly compute one such non-vanishing contribution, namely, that with three Z^0, two W^+ and two W^-. Terms involving just gluons and W's are also considered, however, they turn out to vanish in the P-odd sector to eighth order. The analogous gluonic term in the CP-odd and P-even (C-odd) sector is non-vanishing and it is also computed. The expressions derived apply directly to Dirac massive neutrinos. All CP-violating results display the infrared enhancement already found at dimension six.

12 pages, no figures

References in corpus (13)

• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• Flavor Mixing and CP Violation of Massive Neutrinos
• B Decays and CP Violation
• Quark mixing, CP violation and rare decays after the top quark discovery
• CP Violation Beyond the Standard Model
• Sizable CP Violation in the Bosonized Standard Model
• Cold electroweak baryogenesis with Standard Model CP violation
• Wigner transformation for the determinant of Dirac operators
• Derivative expansion for the effective action of chiral gauge fermions. The abnormal parity component
• Effective CP violation in the Standard Model
• CP violation in the effective action of the Standard Model
• Derivative expansion for the effective action of chiral gauge fermions. The normal parity component
• The invariant factor of the chiral determinant

Cited by in corpus (9)

• Natural Cold Baryogenesis from Strongly Interacting Electroweak Symmetry Breaking
• Temperature Dependence of Standard Model CP Violation
• Real-time Fermions for Baryogenesis Simulations
• Computing the temperature dependence of effective CP violation in the standard model
• Cold Electroweak Baryogenesis in the Two Higgs-Doublet Model
• Ensemble fermions for electroweak dynamics and the fermion preheating temperature
• Full mass range analysis of the QED effective action for an O(2)xO(3) symmetric field
• Leptonic CP violating effective action for Dirac and Majorana neutrinos
• Cold Baryogenesis from first principles in the Two-Higgs Doublet model with Fermions