Infrared singularities of scattering amplitudes in perturbative QCD
An exact formula is derived for the infrared singularities of dimensionally regularized scattering amplitudes in massless QCD with an arbitrary number of loops and legs. It is based on the conjecture that the anomalous-dimension matrix of n-jet operators in soft-collinear effective theory is fully d...
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| Veröffentlicht in: | Physical review letters 2009-04, Vol.102 (16), p.162001-162001, Article 162001 |
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| container_end_page | 162001 |
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| container_issue | 16 |
| container_start_page | 162001 |
| container_title | Physical review letters |
| container_volume | 102 |
| creator | Becher, Thomas Neubert, Matthias |
| description | An exact formula is derived for the infrared singularities of dimensionally regularized scattering amplitudes in massless QCD with an arbitrary number of loops and legs. It is based on the conjecture that the anomalous-dimension matrix of n-jet operators in soft-collinear effective theory is fully determined by three functions of alpha{s}, which can be extracted from known perturbative results for the quark and gluon form factors. This allows us to predict the three-loop coefficients of all 1/;{k} poles for arbitrary n-parton scattering amplitudes, generalizing existing two-loop results. |
| doi_str_mv | 10.1103/PhysRevLett.102.162001 |
| format | Article |
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It is based on the conjecture that the anomalous-dimension matrix of n-jet operators in soft-collinear effective theory is fully determined by three functions of alpha{s}, which can be extracted from known perturbative results for the quark and gluon form factors. This allows us to predict the three-loop coefficients of all 1/;{k} poles for arbitrary n-parton scattering amplitudes, generalizing existing two-loop results.</description><subject>ANOMALOUS DIMENSION</subject><subject>FORM FACTORS</subject><subject>GLUONS</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>QUANTUM CHROMODYNAMICS</subject><subject>QUARKS</subject><subject>SCATTERING AMPLITUDES</subject><subject>SINGULARITY</subject><issn>0031-9007</issn><issn>1079-7114</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNpNkN1LwzAUxYMobk7_hVEQfOvMTdo0fZT5CQM_0OeQprcu0rUzSQf77410oE8Xzvmdc-EQMge6AKD8-mW992-4W2EIC6BsAYJRCkdkCrQo0wIgOyZTSjmkJaXFhJx5_0UjwYQ8JRMoc5CiLKdk-dQ1TjusE2-7z6HVzgaLPumbxBsdArooJ3qzbW0Y6mjYLtmiC4OrdLA7TF6Xt-fkpNGtx4vDnZGP-7v35WO6en54Wt6sUsN5EVItTW5QNkUBRla6YlizSoAQOhOylDo3BmrNNQqtawYiK6JTNTVleSZpw_iMXI69vQ9WeWMDmrXpuw5NUAx4rOI8UlcjtXX994A-qI31BttWd9gPXomCC2BcRlCMoHG99w4btXV2o91eAVW_I6t_I0eNqXHkGJwfPgzVBuu_2GFV_gMEM3ul</recordid><startdate>20090424</startdate><enddate>20090424</enddate><creator>Becher, Thomas</creator><creator>Neubert, Matthias</creator><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>OTOTI</scope></search><sort><creationdate>20090424</creationdate><title>Infrared singularities of scattering amplitudes in perturbative QCD</title><author>Becher, Thomas ; Neubert, Matthias</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c337t-a8c5ce8f771c8bab2ed2b6166a46898a5cc1da3ae6aad216476a4bfd025480f23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>ANOMALOUS DIMENSION</topic><topic>FORM FACTORS</topic><topic>GLUONS</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>QUANTUM CHROMODYNAMICS</topic><topic>QUARKS</topic><topic>SCATTERING AMPLITUDES</topic><topic>SINGULARITY</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Becher, Thomas</creatorcontrib><creatorcontrib>Neubert, Matthias</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><jtitle>Physical review letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Becher, Thomas</au><au>Neubert, Matthias</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Infrared singularities of scattering amplitudes in perturbative QCD</atitle><jtitle>Physical review letters</jtitle><addtitle>Phys Rev Lett</addtitle><date>2009-04-24</date><risdate>2009</risdate><volume>102</volume><issue>16</issue><spage>162001</spage><epage>162001</epage><pages>162001-162001</pages><artnum>162001</artnum><issn>0031-9007</issn><eissn>1079-7114</eissn><abstract>An exact formula is derived for the infrared singularities of dimensionally regularized scattering amplitudes in massless QCD with an arbitrary number of loops and legs. It is based on the conjecture that the anomalous-dimension matrix of n-jet operators in soft-collinear effective theory is fully determined by three functions of alpha{s}, which can be extracted from known perturbative results for the quark and gluon form factors. This allows us to predict the three-loop coefficients of all 1/;{k} poles for arbitrary n-parton scattering amplitudes, generalizing existing two-loop results.</abstract><cop>United States</cop><pmid>19518699</pmid><doi>10.1103/PhysRevLett.102.162001</doi><tpages>1</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0031-9007 |
| ispartof | Physical review letters, 2009-04, Vol.102 (16), p.162001-162001, Article 162001 |
| issn | 0031-9007 1079-7114 |
| language | eng |
| recordid | cdi_osti_scitechconnect_21316633 |
| source | American Physical Society Journals |
| subjects | ANOMALOUS DIMENSION FORM FACTORS GLUONS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM CHROMODYNAMICS QUARKS SCATTERING AMPLITUDES SINGULARITY |
| title | Infrared singularities of scattering amplitudes in perturbative QCD |
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