Heptagons from the Steinmann cluster bootstrap
A bstract We reformulate the heptagon cluster bootstrap to take advantage of the Steinmann relations, which require certain double discontinuities of any amplitude to vanish. These constraints vastly reduce the number of functions needed to bootstrap seven-point amplitudes in planar N = 4 supersymme...
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| Veröffentlicht in: | The journal of high energy physics 2017-02, Vol.2017 (2), p.1-42, Article 137 |
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| container_title | The journal of high energy physics |
| container_volume | 2017 |
| creator | Dixon, Lance J. Drummond, James Harrington, Thomas McLeod, Andrew J. Papathanasiou, Georgios Spradlin, Marcus |
| description | A
bstract
We reformulate the heptagon cluster bootstrap to take advantage of the Steinmann relations, which require certain double discontinuities of any amplitude to vanish. These constraints vastly reduce the number of functions needed to bootstrap seven-point amplitudes in planar
N
= 4 supersymmetric Yang-Mills theory, making higher-loop contributions to these amplitudes more computationally accessible. In particular, dual superconformal symmetry and well-defined collinear limits suffice to determine uniquely the symbols of the three-loop NMHV and four-loop MHV seven-point amplitudes. We also show that at three loops, relaxing the dual superconformal
Q
¯
relations and imposing dihedral symmetry (and for NMHV the absence of spurious poles) leaves only a single ambiguity in the heptagon amplitudes. These results point to a strong tension between the collinear properties of the amplitudes and the Steinmann relations. |
| doi_str_mv | 10.1007/JHEP02(2017)137 |
| format | Article |
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bstract
We reformulate the heptagon cluster bootstrap to take advantage of the Steinmann relations, which require certain double discontinuities of any amplitude to vanish. These constraints vastly reduce the number of functions needed to bootstrap seven-point amplitudes in planar
N
= 4 supersymmetric Yang-Mills theory, making higher-loop contributions to these amplitudes more computationally accessible. In particular, dual superconformal symmetry and well-defined collinear limits suffice to determine uniquely the symbols of the three-loop NMHV and four-loop MHV seven-point amplitudes. We also show that at three loops, relaxing the dual superconformal
Q
¯
relations and imposing dihedral symmetry (and for NMHV the absence of spurious poles) leaves only a single ambiguity in the heptagon amplitudes. These results point to a strong tension between the collinear properties of the amplitudes and the Steinmann relations.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP02(2017)137</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Accessibility ; Amplitudes ; Classical and Quantum Gravitation ; Clusters ; Discontinuity ; Elementary Particles ; HEPTH ; High energy physics ; Mathematical analysis ; Physics ; Physics and Astronomy ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; Poles ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; Scattering Amplitudes ; String Theory ; Supersymmetric gauge theory ; Symmetry ; Texts</subject><ispartof>The journal of high energy physics, 2017-02, Vol.2017 (2), p.1-42, Article 137</ispartof><rights>The Author(s) 2017</rights><rights>Journal of High Energy Physics is a copyright of Springer, 2017.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c411t-e98a227a9a2b5bf313ce0d9a2236ef4aa43f0e1f19f3e45f1a3e6b1caff143273</citedby><cites>FETCH-LOGICAL-c411t-e98a227a9a2b5bf313ce0d9a2236ef4aa43f0e1f19f3e45f1a3e6b1caff143273</cites><orcidid>0000000349857518</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/JHEP02(2017)137$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP02(2017)137$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>230,314,776,780,860,881,27901,27902,41096,42165,51551</link.rule.ids><backlink>$$Uhttps://www.osti.gov/servlets/purl/1339540$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Dixon, Lance J.</creatorcontrib><creatorcontrib>Drummond, James</creatorcontrib><creatorcontrib>Harrington, Thomas</creatorcontrib><creatorcontrib>McLeod, Andrew J.</creatorcontrib><creatorcontrib>Papathanasiou, Georgios</creatorcontrib><creatorcontrib>Spradlin, Marcus</creatorcontrib><creatorcontrib>SLAC National Accelerator Lab., Menlo Park, CA (United States)</creatorcontrib><title>Heptagons from the Steinmann cluster bootstrap</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We reformulate the heptagon cluster bootstrap to take advantage of the Steinmann relations, which require certain double discontinuities of any amplitude to vanish. These constraints vastly reduce the number of functions needed to bootstrap seven-point amplitudes in planar
N
= 4 supersymmetric Yang-Mills theory, making higher-loop contributions to these amplitudes more computationally accessible. In particular, dual superconformal symmetry and well-defined collinear limits suffice to determine uniquely the symbols of the three-loop NMHV and four-loop MHV seven-point amplitudes. We also show that at three loops, relaxing the dual superconformal
Q
¯
relations and imposing dihedral symmetry (and for NMHV the absence of spurious poles) leaves only a single ambiguity in the heptagon amplitudes. These results point to a strong tension between the collinear properties of the amplitudes and the Steinmann relations.</description><subject>Accessibility</subject><subject>Amplitudes</subject><subject>Classical and Quantum Gravitation</subject><subject>Clusters</subject><subject>Discontinuity</subject><subject>Elementary Particles</subject><subject>HEPTH</subject><subject>High energy physics</subject><subject>Mathematical analysis</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>Poles</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>Scattering Amplitudes</subject><subject>String Theory</subject><subject>Supersymmetric gauge theory</subject><subject>Symmetry</subject><subject>Texts</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>BENPR</sourceid><recordid>eNp1kEFLAzEQhRdRsFbPXhe91EPbTJLtNkcp1SoFBfUcsnHSbtlNapI9-O9NWQ9F8DQz8L3Hm5dl10AmQEg5fV4tXwkdUQLlHbDyJBsAoWI856U4PdrPs4sQdoRAAYIMsskK91FtnA258a7N4xbzt4i1bZW1uW66ENHnlXMxRK_2l9mZUU3Aq985zD4elu-L1Xj98vi0uF-PNQeIYxRzRWmphKJVURkGTCP5TBdlMzRcKc4MQTAgDENeGFAMZxVoZQxwRks2zG56XxdiLYOuI-qtdtaijhIYEwUnCRr10N67rw5DlG0dNDaNsui6IGEu2FxQLiCht3_Qneu8TS8kquSEk-SYqGlPae9C8Gjk3tet8t8SiDyULPuS5aHkFOOQk_SKkEi7QX_k-4_kB5RYfMY</recordid><startdate>20170201</startdate><enddate>20170201</enddate><creator>Dixon, Lance J.</creator><creator>Drummond, James</creator><creator>Harrington, Thomas</creator><creator>McLeod, Andrew J.</creator><creator>Papathanasiou, Georgios</creator><creator>Spradlin, Marcus</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><general>Springer Berlin</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PHGZM</scope><scope>PHGZT</scope><scope>PIMPY</scope><scope>PKEHL</scope><scope>PQEST</scope><scope>PQGLB</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>OIOZB</scope><scope>OTOTI</scope><orcidid>https://orcid.org/0000000349857518</orcidid></search><sort><creationdate>20170201</creationdate><title>Heptagons from the Steinmann cluster bootstrap</title><author>Dixon, Lance J. ; Drummond, James ; Harrington, Thomas ; McLeod, Andrew J. ; Papathanasiou, Georgios ; Spradlin, Marcus</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c411t-e98a227a9a2b5bf313ce0d9a2236ef4aa43f0e1f19f3e45f1a3e6b1caff143273</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Accessibility</topic><topic>Amplitudes</topic><topic>Classical and Quantum Gravitation</topic><topic>Clusters</topic><topic>Discontinuity</topic><topic>Elementary Particles</topic><topic>HEPTH</topic><topic>High energy physics</topic><topic>Mathematical analysis</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>Poles</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>Scattering Amplitudes</topic><topic>String Theory</topic><topic>Supersymmetric gauge theory</topic><topic>Symmetry</topic><topic>Texts</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dixon, Lance J.</creatorcontrib><creatorcontrib>Drummond, James</creatorcontrib><creatorcontrib>Harrington, Thomas</creatorcontrib><creatorcontrib>McLeod, Andrew J.</creatorcontrib><creatorcontrib>Papathanasiou, Georgios</creatorcontrib><creatorcontrib>Spradlin, Marcus</creatorcontrib><creatorcontrib>SLAC National Accelerator Lab., Menlo Park, CA (United States)</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central (New)</collection><collection>ProQuest One Academic (New)</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Middle East (New)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Applied & Life Sciences</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV - Hybrid</collection><collection>OSTI.GOV</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dixon, Lance J.</au><au>Drummond, James</au><au>Harrington, Thomas</au><au>McLeod, Andrew J.</au><au>Papathanasiou, Georgios</au><au>Spradlin, Marcus</au><aucorp>SLAC National Accelerator Lab., Menlo Park, CA (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Heptagons from the Steinmann cluster bootstrap</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2017-02-01</date><risdate>2017</risdate><volume>2017</volume><issue>2</issue><spage>1</spage><epage>42</epage><pages>1-42</pages><artnum>137</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We reformulate the heptagon cluster bootstrap to take advantage of the Steinmann relations, which require certain double discontinuities of any amplitude to vanish. These constraints vastly reduce the number of functions needed to bootstrap seven-point amplitudes in planar
N
= 4 supersymmetric Yang-Mills theory, making higher-loop contributions to these amplitudes more computationally accessible. In particular, dual superconformal symmetry and well-defined collinear limits suffice to determine uniquely the symbols of the three-loop NMHV and four-loop MHV seven-point amplitudes. We also show that at three loops, relaxing the dual superconformal
Q
¯
relations and imposing dihedral symmetry (and for NMHV the absence of spurious poles) leaves only a single ambiguity in the heptagon amplitudes. These results point to a strong tension between the collinear properties of the amplitudes and the Steinmann relations.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP02(2017)137</doi><tpages>42</tpages><orcidid>https://orcid.org/0000000349857518</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Accessibility Amplitudes Classical and Quantum Gravitation Clusters Discontinuity Elementary Particles HEPTH High energy physics Mathematical analysis Physics Physics and Astronomy PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Poles Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Scattering Amplitudes String Theory Supersymmetric gauge theory Symmetry Texts |
| title | Heptagons from the Steinmann cluster bootstrap |
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