$H\to b\overline{b}j$ at Next-to-Next-to-Leading Order Accuracy

Abstract

We present the calculation of the decay $H\to b\overline{b}j$ at next-to-next-to-leading order (NNLO) accuracy. We consider contributions in which the Higgs boson couples directly to bottom quarks, i.e. our predictions are accurate to order $\mathcal{O}({\alpha }_s^3{y}_b^2)$ . 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 multiple 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.

42 pages, 5 figures. v3: matches published version, attached supplementary file with two-loop amplitudes

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Cited by in corpus (13)

• Energy-energy correlation in hadronic Higgs decays: analytic results and phenomenology at NLO
• NNLOPS description of the H$\to b\bar{b}$ decay with MINLO
• Analytic results for deep-inelastic scattering at NNLO QCD with the nested soft-collinear subtraction scheme
• Anomalous couplings in associated $VH$ production with Higgs decay to massive $b$ quarks at NNLO in QCD
• Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC
• Bottom-induced contributions to Higgs plus jet at next-to-next-to-leading order
• Next-to-next-to-leading order event generation for $VH$ production with $H\to b\bar{b}$ decay
• Hadronic decays of Higgs boson at NNLO matched with parton shower
• Analytic decay width of the Higgs boson to massive bottom quarks at next-to-next-to-leading order in QCD
• Analytic decay width of the Higgs boson to massive bottom quarks at order ${\alpha }_s^3$
• Higgs boson decay into four bottom quarks in the SM and beyond
• EERAD3 version 2: QCD corrections in hadronic colour-singlet decays
• Three-Loop QCD corrections to the production of a Higgs boson and a Jet