Anomalous couplings of vector bosons and the decay $H \longrightarrow \gamma \gamma$: Dimensional regularization versus momentum cutoff

TL;DR

This paper compares dimensional regularization and momentum cutoff methods in calculating the W-boson loop contribution to the Higgs decay into two photons, highlighting the impact of anomalous gauge couplings and the new physics scale.

Contribution

It provides a detailed comparison of regularization techniques in the context of anomalous vector boson couplings affecting Higgs decay.

Findings

Regularization method influences the amplitude calculation.

Dependence on the new physics scale Λ is analyzed.

Effective Lagrangian approach clarifies anomalous couplings' effects.

Abstract

As an illustration of general principles, the $W$-boson loop contribution to the amplitude for the decay $H\to \gamma \gamma$ is calculated within a specific model for the effective lagrangian describing the anomalous gauge boson couplings. Different approaches to the dependence of the result on the scale of new physics $\Lambda$ are briefly discussed.