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arXiv · 2209.00369

$H\to \gamma\gamma$ to all orders in $\alpha_s$ in the large-$\beta_0$ limit of QCD

D. Boito·G. das Neves·J. Piclum
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Abstract

In this note, we present the result for the QCD corrections to the decay of the Higgs boson into two photons in the large-$\beta_0$ limit of QCD, providing the first two terms in the heavy-top expansion. From our results, one can easily read off the exact leading-$n_f$ QCD contributions in analytic form to all orders in the strong coupling, $\alpha_s$, where $n_f$ is the number of massless quarks, and identify the leading renormalon singularities. We give explicit results for the leading-$n_f$ coefficients at 6 and 7 loops and use the large-$\beta_0$ result to speculate about the size of yet unknown (but small) higher-order contributions to the QCD series.

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D. Boito, G. das Neves, J. Piclum. 2022-09-01. $H\to \gamma\gamma$ to all orders in $\alpha_s$ in the large-$\beta_0$ limit of QCD. https://doi.org/10.1103/physrevd.106.094026

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