Lattice QCD determination of the radiative decay rates $h_{c}\to η_{c}\, γ$ and $h_{b}\to η_{b}\, γ$
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| Format: | Preprint |
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2025
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| author | Bečirević, D. Di Palma, R. Frezzotti, R. Gagliardi, G. Lubicz, V. Sanfilippo, F. Tantalo, N. |
| author_facet | Bečirević, D. Di Palma, R. Frezzotti, R. Gagliardi, G. Lubicz, V. Sanfilippo, F. Tantalo, N. |
| contents | We present the results of our lattice QCD computation of the hadronic matrix elements relevant to the $h_{c}\to η_{c}γ$ and $h_{b}\to η_{b}γ$ decays by using the gauge configurations produced by the Extended Twisted Mass Collaboration with $N_{f}=2+1+1$ dynamical Wilson-Clover twisted mass fermions at five different lattice spacings with physical dynamical $u$ , $d$, $s$ and $c$ quark masses (except for the the coarsest lattice for which the lightest sea quark corresponds to a pion with $m_π\simeq 175~\mathrm{MeV}$). While the hadronic matrix element for $h_{c}\to η_{c}γ$ is obtained directly, the one relevant to $h_{b}\toη_{b}γ$ is reached by working with heavy quark masses $m^{(n)}_{H} = λ^{n-1} m_{c}$, with $λ\sim 1.24$ and $n=1,2, \ldots ,6$, and then extrapolated to $m_{b}$ by several judicious ansätze. In the continuum limit we obtain $Γ( h_{c}\to η_{c} γ) = 0.604(24)~\mathrm{MeV}$, 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 $Γ( h_{b}\to η_{b} γ) =46.0(4.8)~\mathrm{keV}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_16807 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lattice QCD determination of the radiative decay rates $h_{c}\to η_{c}\, γ$ and $h_{b}\to η_{b}\, γ$ Bečirević, D. Di Palma, R. Frezzotti, R. Gagliardi, G. Lubicz, V. Sanfilippo, F. Tantalo, N. High Energy Physics - Lattice High Energy Physics - Phenomenology We present the results of our lattice QCD computation of the hadronic matrix elements relevant to the $h_{c}\to η_{c}γ$ and $h_{b}\to η_{b}γ$ decays by using the gauge configurations produced by the Extended Twisted Mass Collaboration with $N_{f}=2+1+1$ dynamical Wilson-Clover twisted mass fermions at five different lattice spacings with physical dynamical $u$ , $d$, $s$ and $c$ quark masses (except for the the coarsest lattice for which the lightest sea quark corresponds to a pion with $m_π\simeq 175~\mathrm{MeV}$). While the hadronic matrix element for $h_{c}\to η_{c}γ$ is obtained directly, the one relevant to $h_{b}\toη_{b}γ$ is reached by working with heavy quark masses $m^{(n)}_{H} = λ^{n-1} m_{c}$, with $λ\sim 1.24$ and $n=1,2, \ldots ,6$, and then extrapolated to $m_{b}$ by several judicious ansätze. In the continuum limit we obtain $Γ( h_{c}\to η_{c} γ) = 0.604(24)~\mathrm{MeV}$, 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 $Γ( h_{b}\to η_{b} γ) =46.0(4.8)~\mathrm{keV}$. |
| title | Lattice QCD determination of the radiative decay rates $h_{c}\to η_{c}\, γ$ and $h_{b}\to η_{b}\, γ$ |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.16807 |