arXiv : Top-quark mass effects in $H$+jet and $H$+2 jets production

Chen, X.; Zhang, Hantian; Lang, J.-N.; Kerner, M.; Jones, S.P.; Huss, A.; Lindert, J.M.

doi:10.1007/JHEP03(2022)096

Article
Report number	arXiv:2110.06953 ; KA-TP-21-2021 ; TTP21-035 ; CERN-TH-2021-153 ; P3H-21-070 ; ZU-TH 48/21 ; IPPP/21/39
Title	Top-quark mass effects in $H$+jet and $H$+2 jets production
Author(s)	Chen, X. (KIT, Karlsruhe ; KIT, Karlsruhe, TP ; Zurich U.) ; Huss, A. (CERN) ; Jones, S.P. (Durham U., IPPP) ; Kerner, M. (KIT, Karlsruhe ; KIT, Karlsruhe, TP ; Zurich U.) ; Lang, J.-N. (Zurich U.) ; Lindert, J.M. (Sussex U.) ; Zhang, Hantian (Zurich U. ; KIT, Karlsruhe, TTP)
Publication	2022-03-15
Imprint	2021-10-13
Number of pages	22
Note	22 pages, 7 figures
In:	JHEP 2203 (2022) 096
DOI	10.1007/JHEP03(2022)096
Subject category	hep-ph ; Particle Physics - Phenomenology
Abstract	We present calculations of Higgs boson production via gluon-gluon fusion in association with one or two additional jets at next-to-leading order in QCD. The calculation of H+jet is exact in the treatment of the top-quark mass, whereas for the $H+$2 jets calculation the two-loop virtual amplitudes are approximated via a reweighting with leading-order mass effects, while keeping all top-quark mass effects in the real radiation contributions. For $H+$jet production, this study extends a previous calculation, revealing an error in the previous results. For total and differential cross sections, we present new results and compare the QCD corrections with the infinite top-mass limit, for which we find a strikingly good agreement if all amplitudes are rescaled by the leading-order mass dependence.
Copyright/License	publication: © The Authors. Article funded by SCOAP$^{3}$ (License: CC BY 4.0), sponsored by SCOAP³ preprint: (License: CC BY 4.0)

$Stability plots in IR regions for one-loop-squared matrix elements in $\mathrm{gg \to H gg}$ and $\mathrm{gg \to H ggg}$ versus the degree of collinear $\xi_{\text{coll}}$ or soft $\xi_{\text{soft}}$ singularity obtained with \olotter. For each value of $\xi_{\text{soft/coll}}$, the numerical accuracy is calculated with a sample of $10^3$ randomly distributed infrared events. Unstable points are detected by a rescaling test and rescued if the relative accuracy of $10^{-6}$ is not reached. The rescue step reevaluates the tensor integrals to quad precision. The accuracy of the so-obtained value is determined by comparing it to a quadruple precision benchmark whose accuracy is also assessed by a rescaling test. The plotted central points and variation bands correspond, respectively, to the average and 100\% confidence interval of $\mathcal{A}$.$ $Stability plots in IR regions for one-loop-squared matrix elements in $\mathrm{gg \to H gg}$ and $\mathrm{gg \to H ggg}$ versus the degree of collinear $\xi_{\text{coll}}$ or soft $\xi_{\text{soft}}$ singularity obtained with \olotter. For each value of $\xi_{\text{soft/coll}}$, the numerical accuracy is calculated with a sample of $10^3$ randomly distributed infrared events. Unstable points are detected by a rescaling test and rescued if the relative accuracy of $10^{-6}$ is not reached. The rescue step reevaluates the tensor integrals to quad precision. The accuracy of the so-obtained value is determined by comparing it to a quadruple precision benchmark whose accuracy is also assessed by a rescaling test. The plotted central points and variation bands correspond, respectively, to the average and 100\% confidence interval of $\mathcal{A}$.$ $Transverse momentum distribution of the Higgs (left) and the hardest jet (right) in \hj production. We show LO predictions in the full SM (LOSM, magenta) and the HTL (LOHTL, green) as well as NLO predictions in the \HTL (NLOHTL, blue), the \FTapprox (NLOFTapprox, red) and the full SM (NLOSM, orange). The upper panel shows absolute predictions. The first ratio plot shows corrections with respect to LOSM, while the second ratio plot shows NLO corrections normalised to the respective LO prediction, i.e. NLOHTL/LOHTL, NLOSM/LOSM, and NLOFTapprox/LOSM. Shaded bands correspond to scale variations. Error bars indicate integration uncertainties.$ Show more plots

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Element opprettet 2021-10-16, sist endret 2024-07-05

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