The Thrust Distribution at NNLO+NNLL in Higgs Decays to Quarks and Gluons
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| Format: | Preprint |
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2025
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| _version_ | 1866908589750222848 |
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| author | Fox, Elliot Ridder, Aude Gehrmann-De Gehrmann, Thomas Glover, Nigel Marcoli, Matteo Preuss, Christian T. |
| author_facet | Fox, Elliot Ridder, Aude Gehrmann-De Gehrmann, Thomas Glover, Nigel Marcoli, Matteo Preuss, Christian T. |
| contents | We present a calculation of the thrust distribution in Higgs decays to quarks and gluons, $H\to b\bar{b}$, $H\to c\bar{c}$, and $H\to gg$, including the resummation of large logarithmic corrections that arise in the two-particle limit at next-to-next-to-leading logarithmic (NNLL) accuracy, and match it to fixed-order results for three-particle decays at next-to-next-to-leading order (NNLO) in the strong coupling. The resummation is performed analytically within the ARES framework and combined with the fixed-order results using the logR matching technique. The fixed-order calculation is carried out numerically with the NNLOJET parton-level event generator, using the antenna subtraction method. We perform detailed cross-validation in the two-particle region, demonstrating that the expansion of the NNLL resummed result correctly reproduces the logarithmic structure of the fixed-order calculation to $\mathcal{O}(α_\mathrm{s}^3)$, up to a predictable N$^{3}$LL term at $\mathcal{O}(α_\mathrm{s}^3L)$. In addition to providing the first NNLO+NNLL accurate predictions for the thrust distribution in Higgs decays to quarks and gluons, we analytically extract the $\mathcal{O}(α_\mathrm{s}^2)$ hard-virtual correction $c_2$ and the $α_\mathrm{s}^3L$ term $G_{31}$ in both the $H\to q\bar{q}$ ($q=b,c$) and $H\to gg$ decay channels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11665 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Thrust Distribution at NNLO+NNLL in Higgs Decays to Quarks and Gluons Fox, Elliot Ridder, Aude Gehrmann-De Gehrmann, Thomas Glover, Nigel Marcoli, Matteo Preuss, Christian T. High Energy Physics - Phenomenology High Energy Physics - Experiment We present a calculation of the thrust distribution in Higgs decays to quarks and gluons, $H\to b\bar{b}$, $H\to c\bar{c}$, and $H\to gg$, including the resummation of large logarithmic corrections that arise in the two-particle limit at next-to-next-to-leading logarithmic (NNLL) accuracy, and match it to fixed-order results for three-particle decays at next-to-next-to-leading order (NNLO) in the strong coupling. The resummation is performed analytically within the ARES framework and combined with the fixed-order results using the logR matching technique. The fixed-order calculation is carried out numerically with the NNLOJET parton-level event generator, using the antenna subtraction method. We perform detailed cross-validation in the two-particle region, demonstrating that the expansion of the NNLL resummed result correctly reproduces the logarithmic structure of the fixed-order calculation to $\mathcal{O}(α_\mathrm{s}^3)$, up to a predictable N$^{3}$LL term at $\mathcal{O}(α_\mathrm{s}^3L)$. In addition to providing the first NNLO+NNLL accurate predictions for the thrust distribution in Higgs decays to quarks and gluons, we analytically extract the $\mathcal{O}(α_\mathrm{s}^2)$ hard-virtual correction $c_2$ and the $α_\mathrm{s}^3L$ term $G_{31}$ in both the $H\to q\bar{q}$ ($q=b,c$) and $H\to gg$ decay channels. |
| title | The Thrust Distribution at NNLO+NNLL in Higgs Decays to Quarks and Gluons |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2510.11665 |