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Lattice QCD determination of the radiative decay rates hc→ηcγ and hb→ηbγ

D. Bečirević1, R. Di Palma2, R. Frezzotti3, G. Gagliardi2, V. Lubicz2, F. Sanfilippo4, and N. Tantalo3

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Phys. Rev. D 112, 034505 – Published 19 August, 2025

DOI: https://doi.org/10.1103/ysxn-sxj7

Abstract

We present the results of our lattice QCD computation of the hadronic matrix elements relevant to the hc→ηcγ and hb→ηbγ decays by using the gauge configurations produced by the Extended Twisted Mass Collaboration with Nf=2+1+1 dynamical Wilson-Clover twisted mass fermions at five different lattice spacings with physical dynamical u, d, s and c quark masses (except for the coarsest lattice for which the lightest sea quark corresponds to a pion with mπ≃175  MeV). While the hadronic matrix element for hc→ηcγ is obtained directly, the one relevant to hb→ηbγ is reached by working with heavy quark masses mH(n)=λn−1mc, with λ∼1.24 and n=1,2,…,6, and then extrapolated to mb by several judicious Ansätze. In the continuum limit we obtain Γ(hc→ηcγ)=0.604(24)  MeV, which is by a factor of 2.3 more accurate than the previous lattice estimates, and in good agreement with the experimental measurement. In the b-quark case we obtain Γ(hb→ηbγ)=46.0(4.8)  keV.

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Phys. Rev. D 112, 034505– Published 19 August, 2025
  • Received 12 May 2025
  • Accepted 31 July 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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