Higgs boson decay into two photons through the $W$-boson loop: No decoupling in the ${m}_{W}\ensuremath{\rightarrow}0$ limit

Higgs boson decay into two photons through the $W$ -boson loop: No decoupling in the $m_{W} \to 0$ limit

M. Shifman, A. Vainshtein, M. B. Voloshin, and V. Zakharov

Phys. Rev. D 85, 013015 – Published 20 January 2012

Abstract

We reanalyze the $W$ -boson loop in the amplitude of the Higgs boson decay into two photons to show the absence of decoupling in the limit of massless $W$ bosons, $m_{W} \to 0$ . The Higgs coupling to longitudinal polarizations survives in this limit and generates a nonvanishing contribution in the $H \to γ γ$ decay. This shows that the recent claim of decoupling by R. Gastmans, S. L. Wu, and T. T. Wu is incorrect, and the old calculations for the two-photon decay well known in the literature are valid.

Received 6 October 2011

DOI:https://doi.org/10.1103/PhysRevD.85.013015

Authors & Affiliations

M. Shifman¹, A. Vainshtein¹, M. B. Voloshin^1,2, and V. Zakharov^2,3

¹William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA
²Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25, Moscow 117218, Russia
³Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany

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Vol. 85, Iss. 1 — 1 January 2012

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Physical Review D

covering particles, fields, gravitation, and cosmology

Higgs boson decay into two photons through the $W$ -boson loop: No decoupling in the $m_{W} \to 0$ limit

M. Shifman, A. Vainshtein, M. B. Voloshin, and V. Zakharov

Phys. Rev. D 85, 013015 – Published 20 January 2012

Abstract

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Physical Review D

covering particles, fields, gravitation, and cosmology

Higgs boson decay into two photons through the W-boson loop: No decoupling in the mW→0 limit

M. Shifman, A. Vainshtein, M. B. Voloshin, and V. Zakharov

Phys. Rev. D 85, 013015 – Published 20 January 2012

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Higgs boson decay into two photons through the $W$ -boson loop: No decoupling in the $m_{W} \to 0$ limit