Higgs boson production and quark scattering amplitudes at high energy through the next-to-next-to-leading power in quark mass

Abstract We study the amplitudes of the quark scattering by an external electromagnetic field and of the light quark mediated Higgs boson production via gluon fusion in the high-energy limit. The asymptotic behavior of the quark form factors is obtained in the double-logarithmic approximation to all...

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Main Authors: Tao Liu, Sneh Modi, Alexander A. Penin
Format: Article
Language:English
Published: SpringerOpen 2022-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2022)170
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author Tao Liu
Sneh Modi
Alexander A. Penin
author_facet Tao Liu
Sneh Modi
Alexander A. Penin
author_sort Tao Liu
collection DOAJ
description Abstract We study the amplitudes of the quark scattering by an external electromagnetic field and of the light quark mediated Higgs boson production via gluon fusion in the high-energy limit. The asymptotic behavior of the quark form factors is obtained in the double-logarithmic approximation to all orders in strong coupling constant through O m q 3 $$ \mathcal{O}\left({m}_q^3\right) $$ in the small quark mass expansion and the asymptotic formula is given in a closed analytic form. In the case of the two-gluon Higgs boson form factor we obtain a complete analytic result for the three-loop O m q 3 $$ \mathcal{O}\left({m}_q^3\right) $$ double-logarithmic term while the all-order analysis is performed in the large-N c limit of QCD and for the abelian gauge group. An estimate of the high-order high-power light quark mass effect in the Higgs boson production and decay is given.
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spelling doaj.art-9dc162aa426749808f600a5aac5382c92022-12-22T01:34:00ZengSpringerOpenJournal of High Energy Physics1029-84792022-02-012022212310.1007/JHEP02(2022)170Higgs boson production and quark scattering amplitudes at high energy through the next-to-next-to-leading power in quark massTao Liu0Sneh Modi1Alexander A. Penin2Institute of High Energy Physics, Chinese Academy of SciencesDepartment of Physics, University of AlbertaDepartment of Physics, University of AlbertaAbstract We study the amplitudes of the quark scattering by an external electromagnetic field and of the light quark mediated Higgs boson production via gluon fusion in the high-energy limit. The asymptotic behavior of the quark form factors is obtained in the double-logarithmic approximation to all orders in strong coupling constant through O m q 3 $$ \mathcal{O}\left({m}_q^3\right) $$ in the small quark mass expansion and the asymptotic formula is given in a closed analytic form. In the case of the two-gluon Higgs boson form factor we obtain a complete analytic result for the three-loop O m q 3 $$ \mathcal{O}\left({m}_q^3\right) $$ double-logarithmic term while the all-order analysis is performed in the large-N c limit of QCD and for the abelian gauge group. An estimate of the high-order high-power light quark mass effect in the Higgs boson production and decay is given.https://doi.org/10.1007/JHEP02(2022)170Higgs PhysicsPerturbative QCDResummation
spellingShingle Tao Liu
Sneh Modi
Alexander A. Penin
Higgs boson production and quark scattering amplitudes at high energy through the next-to-next-to-leading power in quark mass
Journal of High Energy Physics
Higgs Physics
Perturbative QCD
Resummation
title Higgs boson production and quark scattering amplitudes at high energy through the next-to-next-to-leading power in quark mass
title_full Higgs boson production and quark scattering amplitudes at high energy through the next-to-next-to-leading power in quark mass
title_fullStr Higgs boson production and quark scattering amplitudes at high energy through the next-to-next-to-leading power in quark mass
title_full_unstemmed Higgs boson production and quark scattering amplitudes at high energy through the next-to-next-to-leading power in quark mass
title_short Higgs boson production and quark scattering amplitudes at high energy through the next-to-next-to-leading power in quark mass
title_sort higgs boson production and quark scattering amplitudes at high energy through the next to next to leading power in quark mass
topic Higgs Physics
Perturbative QCD
Resummation
url https://doi.org/10.1007/JHEP02(2022)170
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AT alexanderapenin higgsbosonproductionandquarkscatteringamplitudesathighenergythroughthenexttonexttoleadingpowerinquarkmass