Electroweak pinch technique to all orders

Abstract

The generalization of the pinch technique to all orders in the electroweak sector of the Standard Model within the class of the renormalizable 't Hooft gauges, is presented. In particular, both the all-order PT gauge-boson-- and scalar--fermions vertices, as well as the diagonal and mixed gauge-boson and scalar self-energies are explicitly constructed. This is achieved through the generalization to the Standard Model of the procedure recently applied to the QCD case, which consist of two steps: (i) the identification of special Green's functions, which serve as a common kernel to all self-energy and vertex diagrams, and (ii) the study of the (on-shell) Slavnov-Taylor identities they satisfy. It is then shown that the ghost, scalar and scalar--gauge-boson Green's functions appearing in these identities capture precisely the result of the pinching action at arbitrary order. It turns out that the aforementioned Green's functions play a crucial role, their net effect being the non-trivial modification of the ghost, scalar and scalar--gauge-boson diagrams of the gauge-boson-- or scalar--fermions vertex we have started from, in such a way as to dynamically generate the characteristic ghost and scalar sector of the background field method. The pinch technique gauge-boson and scalar self-energies are also explicitly constructed by resorting to the method of the background-quantum identities.

48 pages, 8 figures; v2: typos corrected

Cited by in corpus (21)

• Pinch Technique: Theory and Applications
• Gauge-independent Renormalization of the 2-Higgs-Doublet Model
• Renormalization of mixing angles
• The Form Factors of the Gauge-Invariant Three-Gluon Vertex
• Emergent Hadron Mass in Strong Dynamics
• NLO electroweak corrections in extended Higgs Sectors with RECOLA2
• 2HDM Higgs-to-Higgs Decays at Next-to-Leading Order
• Extended analytic QCD model with perturbative QCD behavior at high momenta
• 2HDECAY - A program for the Calculation of Electroweak One-Loop Corrections to Higgs Decays in the Two-Higgs-Doublet Model Including State-of-the-Art QCD Corrections
• Resonant CP Violation in MSSM Higgs Production and Decay at $\gamma \gamma$ Colliders
• SU_L(2) X U_Y(1)-invariant description of the bilepton contribution to the WWV vertex in the minimal 331 model
• Gauge-independent Renormalization of the N2HDM
• The neutrino charge radius in the presence of fermion masses
• One-loop effects of extra dimensions on the WWγand WWZ vertices
• Impact of Electroweak Corrections on Neutral Higgs Boson Decays in Extended Higgs Sectors
• Quantization and High Energy Unitarity of 5D Orbifold Theories with Brane Kinetic Terms
• Displacement Operator Formalism for Renormalization and Gauge Dependence to All Orders
• Integration of Kaluza-Klein modes in Yang-Mills theories
• ewN2HDECAY - A program for the Calculation of Electroweak One-Loop Corrections to Higgs Decays in the Next-to-Minimal Two-Higgs-Doublet Model Including State-of-the-Art QCD Corrections
• Pinch Technique for Schwinger-Dyson equations
• CP violation through particle mixing and the H-A lineshape