A computation of two-loop six-point Feynman integrals in dimensional regularization
We compute three families of two-loop six-point massless Feynman integrals in dimensional regularization, namely the double-box, the pentagon-triangle, and the hegaxon-bubble family. This constitutes the first analytic computation of two-loop master integrals with eight scales. We use the method of...
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| creator | Henn, Johannes M Matijašić, Antonela Miczajka, Julian Peraro, Tiziano Xu, Yingxuan Zhang, Yang |
| description | We compute three families of two-loop six-point massless Feynman integrals in
dimensional regularization, namely the double-box, the pentagon-triangle, and
the hegaxon-bubble family. This constitutes the first analytic computation of
two-loop master integrals with eight scales. We use the method of canonical
differential equations. We describe the corresponding integral basis with
uniform transcendentality, the relevant function alphabet, and analytic
boundary values at a particular point in the Euclidean region up to the fourth
order in the regularization parameter $\epsilon$. The results are expressed as
one-fold integrals over classical polylogarithms suitable for fast and
high-precision evaluation. |
| doi_str_mv | 10.48550/arxiv.2403.19742 |
| format | Article |
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dimensional regularization, namely the double-box, the pentagon-triangle, and
the hegaxon-bubble family. This constitutes the first analytic computation of
two-loop master integrals with eight scales. We use the method of canonical
differential equations. We describe the corresponding integral basis with
uniform transcendentality, the relevant function alphabet, and analytic
boundary values at a particular point in the Euclidean region up to the fourth
order in the regularization parameter $\epsilon$. The results are expressed as
one-fold integrals over classical polylogarithms suitable for fast and
high-precision evaluation.</description><identifier>DOI: 10.48550/arxiv.2403.19742</identifier><language>eng</language><subject>Physics - High Energy Physics - Phenomenology ; Physics - High Energy Physics - Theory</subject><creationdate>2024-03</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2403.19742$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2403.19742$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Henn, Johannes M</creatorcontrib><creatorcontrib>Matijašić, Antonela</creatorcontrib><creatorcontrib>Miczajka, Julian</creatorcontrib><creatorcontrib>Peraro, Tiziano</creatorcontrib><creatorcontrib>Xu, Yingxuan</creatorcontrib><creatorcontrib>Zhang, Yang</creatorcontrib><title>A computation of two-loop six-point Feynman integrals in dimensional regularization</title><description>We compute three families of two-loop six-point massless Feynman integrals in
dimensional regularization, namely the double-box, the pentagon-triangle, and
the hegaxon-bubble family. This constitutes the first analytic computation of
two-loop master integrals with eight scales. We use the method of canonical
differential equations. We describe the corresponding integral basis with
uniform transcendentality, the relevant function alphabet, and analytic
boundary values at a particular point in the Euclidean region up to the fourth
order in the regularization parameter $\epsilon$. The results are expressed as
one-fold integrals over classical polylogarithms suitable for fast and
high-precision evaluation.</description><subject>Physics - High Energy Physics - Phenomenology</subject><subject>Physics - High Energy Physics - Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8FOxCAYhLl4MKsP4ElegAr8FOhxs3HVZBMP7r0BChuSFhra1V2f3lo9zXeYmeRD6IHRSui6pk-mXOJnxQWFijVK8Fv0scUuD-N5NnPMCeeA569M-pxHPMULGXNMM977axpMwgv7UzH9tBDu4uDTtIxMj4s_nXtT4vf6coduwlLy9_-5Qcf983H3Sg7vL2-77YEYqTgBBuCEdQCSMtlxJSU4YNYFTaXg3CvtgtHKNdzSjmorGhtMF1QtFFcaYIMe_25Xq3YscTDl2v7atasd_ACutEsP</recordid><startdate>20240328</startdate><enddate>20240328</enddate><creator>Henn, Johannes M</creator><creator>Matijašić, Antonela</creator><creator>Miczajka, Julian</creator><creator>Peraro, Tiziano</creator><creator>Xu, Yingxuan</creator><creator>Zhang, Yang</creator><scope>GOX</scope></search><sort><creationdate>20240328</creationdate><title>A computation of two-loop six-point Feynman integrals in dimensional regularization</title><author>Henn, Johannes M ; Matijašić, Antonela ; Miczajka, Julian ; Peraro, Tiziano ; Xu, Yingxuan ; Zhang, Yang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a672-3133c4bc336016d27663c31bcf806422e78cfa87c92b0d08b49bfadf754727833</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Physics - High Energy Physics - Phenomenology</topic><topic>Physics - High Energy Physics - Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Henn, Johannes M</creatorcontrib><creatorcontrib>Matijašić, Antonela</creatorcontrib><creatorcontrib>Miczajka, Julian</creatorcontrib><creatorcontrib>Peraro, Tiziano</creatorcontrib><creatorcontrib>Xu, Yingxuan</creatorcontrib><creatorcontrib>Zhang, Yang</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Henn, Johannes M</au><au>Matijašić, Antonela</au><au>Miczajka, Julian</au><au>Peraro, Tiziano</au><au>Xu, Yingxuan</au><au>Zhang, Yang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A computation of two-loop six-point Feynman integrals in dimensional regularization</atitle><date>2024-03-28</date><risdate>2024</risdate><abstract>We compute three families of two-loop six-point massless Feynman integrals in
dimensional regularization, namely the double-box, the pentagon-triangle, and
the hegaxon-bubble family. This constitutes the first analytic computation of
two-loop master integrals with eight scales. We use the method of canonical
differential equations. We describe the corresponding integral basis with
uniform transcendentality, the relevant function alphabet, and analytic
boundary values at a particular point in the Euclidean region up to the fourth
order in the regularization parameter $\epsilon$. The results are expressed as
one-fold integrals over classical polylogarithms suitable for fast and
high-precision evaluation.</abstract><doi>10.48550/arxiv.2403.19742</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - High Energy Physics - Phenomenology Physics - High Energy Physics - Theory |
| title | A computation of two-loop six-point Feynman integrals in dimensional regularization |
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