Multi-photon Decays of the Higgs Boson in Standard Model: Leading Terms from Heisenberg-Euler Effective Lagrangian

TL;DR

This paper calculates the multi-photon decay widths of the Higgs boson using an effective Lagrangian approach linked to the Heisenberg-Euler Lagrangian, focusing on contributions from W bosons and top quarks within the Standard Model.

Contribution

It introduces a method to compute Higgs multi-photon decay widths via an effective Lagrangian connected to the Heisenberg-Euler framework, emphasizing dominant Standard Model particles.

Findings

Calculated decay widths for Higgs to multiple photons.

Identified W bosons and top quarks as key contributors.

Provided a theoretical basis for future experimental tests.

Abstract

We calculate the multi-photon decay widths of the Higgs boson from an effective Lagrangian for a system of electromagnetic and Higgs fields. We utilize a low-energy theorem to connect the above Lagrangian to the Heisenberg-Euler effective Lagrangian induced by charged particles that gain mass from interactions with the Higgs boson. In the standard model only the W^\pm gauge bosons and the top quark are relevant, and we compute their contributions to the effective couplings and the multi-photon decay widths of the Higgs boson.