Two-loop master integrals for leading-color pp→tt¯H amplitudes with a light-quark loop
A bstract We compute the two-loop master integrals for leading-color QCD scattering amplitudes including a closed light-quark loop in t t ¯ H production at hadron colliders. Exploiting numerical evaluations in modular arithmetic, we construct a basis of master integrals satisfying a system of differ...
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| Veröffentlicht in: | The journal of high energy physics 2024-07, Vol.2024 (7), p.84 |
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| container_title | The journal of high energy physics |
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| creator | Cordero, F. Febres Figueiredo, G. Kraus, M. Page, B. Reina, L. |
| description | A
bstract
We compute the two-loop master integrals for leading-color QCD scattering amplitudes including a closed light-quark loop in
t
t
¯
H
production at hadron colliders. Exploiting numerical evaluations in modular arithmetic, we construct a basis of master integrals satisfying a system of differential equations in
ϵ
-factorized form. We present the analytic form of the differential equations in terms of a minimal set of differential one-forms. We explore properties of the function space of analytic solutions to the differential equations in terms of iterative integrals which can be exploited for studying the analytic form of related scattering amplitudes. Finally, we solve the differential equations using generalized series expansions to numerically evaluate the master integrals in physical phase space. As the first computation of a set of two-loop seven-scale master integrals, our results provide valuable input for analytic studies of scattering amplitudes in processes involving massive particles and a large number of kinematic scales. |
| doi_str_mv | 10.1007/JHEP07(2024)084 |
| format | Article |
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bstract
We compute the two-loop master integrals for leading-color QCD scattering amplitudes including a closed light-quark loop in
t
t
¯
H
production at hadron colliders. Exploiting numerical evaluations in modular arithmetic, we construct a basis of master integrals satisfying a system of differential equations in
ϵ
-factorized form. We present the analytic form of the differential equations in terms of a minimal set of differential one-forms. We explore properties of the function space of analytic solutions to the differential equations in terms of iterative integrals which can be exploited for studying the analytic form of related scattering amplitudes. Finally, we solve the differential equations using generalized series expansions to numerically evaluate the master integrals in physical phase space. As the first computation of a set of two-loop seven-scale master integrals, our results provide valuable input for analytic studies of scattering amplitudes in processes involving massive particles and a large number of kinematic scales.</description><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP07(2024)084</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Amplitudes ; Classical and Quantum Gravitation ; Color ; Differential equations ; Elementary Particles ; Exact solutions ; Function space ; Integrals ; Iterative methods ; Kinematics ; Light ; Mathematical analysis ; Modular systems ; Physics ; Physics and Astronomy ; Quantum chromodynamics ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Quarks ; Regular Article - Theoretical Physics ; Relativity Theory ; Scattering ; Series expansion ; String Theory</subject><ispartof>The journal of high energy physics, 2024-07, Vol.2024 (7), p.84</ispartof><rights>The Author(s) 2024</rights><rights>The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><orcidid>0000-0001-6668-6699 ; 0000-0001-7147-501X ; 0000-0002-1389-4950 ; 0000-0002-9268-5187 ; 0009-0006-8996-021X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP07(2024)084$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP07(2024)084$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,860,27901,27902,41096,42165,51551</link.rule.ids></links><search><creatorcontrib>Cordero, F. Febres</creatorcontrib><creatorcontrib>Figueiredo, G.</creatorcontrib><creatorcontrib>Kraus, M.</creatorcontrib><creatorcontrib>Page, B.</creatorcontrib><creatorcontrib>Reina, L.</creatorcontrib><title>Two-loop master integrals for leading-color pp→tt¯H amplitudes with a light-quark loop</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We compute the two-loop master integrals for leading-color QCD scattering amplitudes including a closed light-quark loop in
t
t
¯
H
production at hadron colliders. Exploiting numerical evaluations in modular arithmetic, we construct a basis of master integrals satisfying a system of differential equations in
ϵ
-factorized form. We present the analytic form of the differential equations in terms of a minimal set of differential one-forms. We explore properties of the function space of analytic solutions to the differential equations in terms of iterative integrals which can be exploited for studying the analytic form of related scattering amplitudes. Finally, we solve the differential equations using generalized series expansions to numerically evaluate the master integrals in physical phase space. As the first computation of a set of two-loop seven-scale master integrals, our results provide valuable input for analytic studies of scattering amplitudes in processes involving massive particles and a large number of kinematic scales.</description><subject>Amplitudes</subject><subject>Classical and Quantum Gravitation</subject><subject>Color</subject><subject>Differential equations</subject><subject>Elementary Particles</subject><subject>Exact solutions</subject><subject>Function space</subject><subject>Integrals</subject><subject>Iterative methods</subject><subject>Kinematics</subject><subject>Light</subject><subject>Mathematical analysis</subject><subject>Modular systems</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum chromodynamics</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Quarks</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>Scattering</subject><subject>Series expansion</subject><subject>String Theory</subject><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>BENPR</sourceid><recordid>eNpFkEFKAzEUQIMgWKtrtwE3uoj-TJJOspRSrVLQRV24GjKTpJ067aRJht7AA3gR7-BRPIlTKrj6fHi8z38IXVC4oQD57dN08gL5VQYZvwbJj9CAQqaI5Lk6QacxrgCooAoG6G2-a0nTth6vdUw24HqT7CLoJmLXBtxYberNglRt02_e_3x8pvT9NcV67Zs6dcZGvKvTEmvc1ItlIttOh3e8F56hY9dr7PnfHKLX-8l8PCWz54fH8d2MeMoUJ8JxOmJclLLkIhspwfPSlMI6KwwYbaVzprIMMicoOFWBBArWGOtclTtdsiG6PHh9aLedjalYtV3Y9CcLBrmUjDKuegoOVPShf8iGf4pCsY9WHKIV-2hFH439AvGlZKo</recordid><startdate>20240701</startdate><enddate>20240701</enddate><creator>Cordero, F. 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Febres ; Figueiredo, G. ; Kraus, M. ; Page, B. ; Reina, L.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p1394-5f416345b8b45269547bdb5efe5d0dae8ffdce302f510f9c08010eddeffc7fab3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Amplitudes</topic><topic>Classical and Quantum Gravitation</topic><topic>Color</topic><topic>Differential equations</topic><topic>Elementary Particles</topic><topic>Exact solutions</topic><topic>Function space</topic><topic>Integrals</topic><topic>Iterative methods</topic><topic>Kinematics</topic><topic>Light</topic><topic>Mathematical analysis</topic><topic>Modular systems</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum chromodynamics</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Quarks</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>Scattering</topic><topic>Series expansion</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Cordero, F. Febres</creatorcontrib><creatorcontrib>Figueiredo, G.</creatorcontrib><creatorcontrib>Kraus, M.</creatorcontrib><creatorcontrib>Page, B.</creatorcontrib><creatorcontrib>Reina, L.</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Database (1962 - current)</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest advanced technologies & aerospace journals</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Cordero, F. Febres</au><au>Figueiredo, G.</au><au>Kraus, M.</au><au>Page, B.</au><au>Reina, L.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Two-loop master integrals for leading-color pp→tt¯H amplitudes with a light-quark loop</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2024-07-01</date><risdate>2024</risdate><volume>2024</volume><issue>7</issue><spage>84</spage><pages>84-</pages><eissn>1029-8479</eissn><abstract>A
bstract
We compute the two-loop master integrals for leading-color QCD scattering amplitudes including a closed light-quark loop in
t
t
¯
H
production at hadron colliders. Exploiting numerical evaluations in modular arithmetic, we construct a basis of master integrals satisfying a system of differential equations in
ϵ
-factorized form. We present the analytic form of the differential equations in terms of a minimal set of differential one-forms. We explore properties of the function space of analytic solutions to the differential equations in terms of iterative integrals which can be exploited for studying the analytic form of related scattering amplitudes. Finally, we solve the differential equations using generalized series expansions to numerically evaluate the master integrals in physical phase space. As the first computation of a set of two-loop seven-scale master integrals, our results provide valuable input for analytic studies of scattering amplitudes in processes involving massive particles and a large number of kinematic scales.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP07(2024)084</doi><orcidid>https://orcid.org/0000-0001-6668-6699</orcidid><orcidid>https://orcid.org/0000-0001-7147-501X</orcidid><orcidid>https://orcid.org/0000-0002-1389-4950</orcidid><orcidid>https://orcid.org/0000-0002-9268-5187</orcidid><orcidid>https://orcid.org/0009-0006-8996-021X</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Amplitudes Classical and Quantum Gravitation Color Differential equations Elementary Particles Exact solutions Function space Integrals Iterative methods Kinematics Light Mathematical analysis Modular systems Physics Physics and Astronomy Quantum chromodynamics Quantum Field Theories Quantum Field Theory Quantum Physics Quarks Regular Article - Theoretical Physics Relativity Theory Scattering Series expansion String Theory |
| title | Two-loop master integrals for leading-color pp→tt¯H amplitudes with a light-quark loop |
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