The Two-Loop Pinch Technique in the Electroweak Sector

Abstract

The generalization of the two-loop Pinch Technique to the Electroweak Sector of the Standard Model is presented. We restrict ourselves to the case of conserved external currents, and provide a detailed analysis of both the charged and neutral sectors. The crucial ingredient for this construction is the identification of the parts discarded during the pinching procedure with well-defined contributions to the Slavnov-Taylor identity satisfied by the off-shell one-loop gauge-boson vertices; the latter are nested inside the conventional two-loop self-energies. It is shown by resorting to a set of powerful identities that the two-loop effective Pinch Technique self-energies coincide with the corresponding ones computed in the Background Feynman gauge. The aforementioned identities are derived in the context of the Batalin-Vilkovisky formalism, a fact which enables the individual treatment of the self-energies of the photon and the $Z$-boson. Some possible phenomenological applications are briefly discussed.

50 pages, uses axodraw

References in corpus (5)

• Pinch Technique and the Batalin-Vilkovisky formalism
• Gauge dependence of the on-shell renormalized mixing matrices
• The Algebraic Method
• Gauge and Scheme Dependence of Mixing Matrix Renormalization
• Gauge-Independent Off-Shell Fermion Self-Energies at Two Loops: The Cases of QED and QCD

Cited by in corpus (13)

• Pinch Technique: Theory and Applications
• Pinch technique self-energies and vertices to all orders in perturbation theory
• Two-loop electroweak corrections to the Higgs-boson decay H -> gamma gamma
• Scale- and gauge-independent mixing angles for scalar particles
• SU_L(2) X U_Y(1)-invariant description of the bilepton contribution to the WWV vertex in the minimal 331 model
• Electroweak pinch technique to all orders
• Bilepton effects on the WWV^* vertex in the 331 model with right-handed neutrinos via a SU_L(2)XU_Y(1) covariant quantization scheme
• One-loop effects of extra dimensions on the WWγand WWZ vertices
• Integration of Kaluza-Klein modes in Yang-Mills theories
• Leading two-loop corrections to the Higgs di-photon decay in the Inert Doublet Model
• CP violation through particle mixing and the H-A lineshape
• Electroweak corrections in the 2HDM for neutral scalar Higgs-boson production through gluon fusion
• Gauge invariance, quantization and integration of heavy modes in a gauge Kaluza-Klein theory