Reduction Schemes in Cutoff Regularization and Higgs Decay into Two Photons

TL;DR

This paper introduces a new recursive method for evaluating one-loop tensor integrals in cutoff regularization, applied to Higgs decay into two photons, clarifying recent issues in the process.

Contribution

A systematic recursive approach integrated with Passarino-Veltman reduction for one-loop integrals in cutoff regularization, applied to Higgs decay analysis.

Findings

Recalculated Higgs to two photons decay at one-loop level.

Clarified issues in cutoff regularization for this process.

Demonstrated the method's effectiveness in standard model calculations.

Abstract

We present a new systematic method to evaluate one-loop tensor integrals in conventional ultraviolet cutoff regularization. By deriving a new recursive relation that describes the momentum translation variance of ultraviolet integrals, we implement this relation in the Passarino-Veltman reduction method. With this method, we recalculated the Higgs boson decay into two photons process at one-loop level in the Standard Model. We reanalyze this process carefully and clarify some issues arisen recently in cutoff regularization.