Abstract
We present the calculation of the decay \( H\to b\overline{b}j \) at next-to-next-to-leading order (NNLO) accuracy in QCD. We treat the bottom quarks as massless with a non-zero Higgs Yukawa coupling yb. We consider contributions in which the Higgs boson couples directly to bottom quarks, i.e. our predictions are accurate to order \( \mathcal{O}\left({\alpha}_s^3{y}_b^2\right) \). We calculate the various components needed to construct the NNLO contribution, including an independent calculation of the two-loop amplitudes. We compare our results for the two-loop amplitudes to an existing calculation finding agreement. We present additional checks on our two-loop expression using the known infrared factorization properties as the emitted gluon becomes soft or collinear. We use our results to construct a Monte Carlo implementation of \( H\to b\overline{b}j \) and present jet rates and differential distributions in the Higgs rest frame using the Durham jet algorithm.
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Mondini, R., Williams, C. \( H\to b\overline{b}j \) at next-to-next-to-leading order accuracy. J. High Energ. Phys. 2019, 120 (2019). https://doi.org/10.1007/JHEP06(2019)120
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DOI: https://doi.org/10.1007/JHEP06(2019)120