Infrared Subtleties and Chiral Vertices at NLO: An Implicit Regularization Analysis

Abstract

We employ implicit regularization (IReg) in quark-antiquark decays of the Z, or of a scalar (CP-even or odd) boson at NLO, and compare with dimensional schemes to reveal subtleties involving infrared divergence cancellation and ${\gamma }_5$-matrix issues. Besides the absence of evanescent fields in IReg, such as $ϵ$-scalars required in certain schemes that operate partially in the physical dimension, we verify that our procedure preserves gauge invariance in the presence of the ${\gamma }_5$ matrix without requiring symmetry preserving counterterms while the amplitude is infrared finite as required by the KLN theorem.

Comments: Appendix and references added. Complies with the version accepted at EPJC