An Implicit Regularization Approach to Chiral Models

TL;DR

This paper applies Implicit Regularization to compute Z boson and scalar boson decays into quark pairs at NLO, demonstrating its effectiveness without gauge symmetry issues and comparing favorably to Dimensional Reduction results.

Contribution

It introduces an implicit regularization method for chiral models that avoids gauge symmetry breaking and simplifies calculations at NLO.

Findings

Successful NLO calculations of boson decays using IReg

No gauge symmetry restoring counterterms needed

Results consistent with Dimensional Reduction scheme

Abstract

The decays of the Z boson and CP-even or CP-odd scalar bosons into quark-antiquark pairs have been calculated at NLO in the framework of Implicit Regularization (IReg) , which operates strictly in the physical dimension and complies with the BPHZ procedure. The presence of the {\gamma}5 matrix is dealt without the need of gauge symmetry restoring counterterms and the Kinoshita-Lee-Nauenberg (KLN) theorem is verified. The results are compared to the ones obtained in the Dimensional Reduction scheme (DRed).