Gluon fusion production at NLO: merging the transverse momentum and the high-energy expansions
Abstract The virtual corrections to gg → HH and gg → ZH are analytically evaluated combining an expansion in the small transverse momentum of the final particles with an expansion valid at high energies. The two expansion methods describe complementary regions of the phase space and we merge their r...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2022)069 |
| _version_ | 1811218243271000064 |
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| author | Luigi Bellafronte Giuseppe Degrassi Pier Paolo Giardino Ramona Gröber Marco Vitti |
| author_facet | Luigi Bellafronte Giuseppe Degrassi Pier Paolo Giardino Ramona Gröber Marco Vitti |
| author_sort | Luigi Bellafronte |
| collection | DOAJ |
| description | Abstract The virtual corrections to gg → HH and gg → ZH are analytically evaluated combining an expansion in the small transverse momentum of the final particles with an expansion valid at high energies. The two expansion methods describe complementary regions of the phase space and we merge their results, extending the range of validity of both expansions using Padé approximants. We show that this approach can reproduce the available numerical results retaining the exact top quark mass dependence with an accuracy below the 1% level. Our results allow a fast and flexible evaluation of the virtual corrections of the considered processes. Furthermore, they are available in different renormalisation schemes of the top quark mass. |
| first_indexed | 2024-04-12T07:07:42Z |
| format | Article |
| id | doaj.art-e56d68618f244878ac7862611590a5d9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T07:07:42Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e56d68618f244878ac7862611590a5d92022-12-22T03:42:45ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022711610.1007/JHEP07(2022)069Gluon fusion production at NLO: merging the transverse momentum and the high-energy expansionsLuigi Bellafronte0Giuseppe Degrassi1Pier Paolo Giardino2Ramona Gröber3Marco Vitti4Instituto Galego de Física de Altas Enerxías, Universidade de Santiago de CompostelaDipartimento di Matematica e Fisica, Università di Roma Tre and INFN, sezione di Roma TreInstituto Galego de Física de Altas Enerxías, Universidade de Santiago de CompostelaDipartimento di Fisica e Astronomia ‘G. Galilei’, Università di Padova and INFN, sezione di PadovaDipartimento di Matematica e Fisica, Università di Roma Tre and INFN, sezione di Roma TreAbstract The virtual corrections to gg → HH and gg → ZH are analytically evaluated combining an expansion in the small transverse momentum of the final particles with an expansion valid at high energies. The two expansion methods describe complementary regions of the phase space and we merge their results, extending the range of validity of both expansions using Padé approximants. We show that this approach can reproduce the available numerical results retaining the exact top quark mass dependence with an accuracy below the 1% level. Our results allow a fast and flexible evaluation of the virtual corrections of the considered processes. Furthermore, they are available in different renormalisation schemes of the top quark mass.https://doi.org/10.1007/JHEP07(2022)069Higgs ProductionHigher-Order Perturbative Calculations |
| spellingShingle | Luigi Bellafronte Giuseppe Degrassi Pier Paolo Giardino Ramona Gröber Marco Vitti Gluon fusion production at NLO: merging the transverse momentum and the high-energy expansions Journal of High Energy Physics Higgs Production Higher-Order Perturbative Calculations |
| title | Gluon fusion production at NLO: merging the transverse momentum and the high-energy expansions |
| title_full | Gluon fusion production at NLO: merging the transverse momentum and the high-energy expansions |
| title_fullStr | Gluon fusion production at NLO: merging the transverse momentum and the high-energy expansions |
| title_full_unstemmed | Gluon fusion production at NLO: merging the transverse momentum and the high-energy expansions |
| title_short | Gluon fusion production at NLO: merging the transverse momentum and the high-energy expansions |
| title_sort | gluon fusion production at nlo merging the transverse momentum and the high energy expansions |
| topic | Higgs Production Higher-Order Perturbative Calculations |
| url | https://doi.org/10.1007/JHEP07(2022)069 |
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