Eikonal amplitudes and non-global logarithms from the BMS equation
The Banfi-Marchesini-Smye (BMS) equation accounts for non-global logarithms to all orders in perturbation theory in the large-Nc approximation. We show that the squared amplitudes for the emission of soft energy-ordered gluons are correctly embedded in this equation, and explicitly verify that they...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2020-09 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Benslama, Hana Yazid Delenda Kamel Khelifa-Kerfa Abdelaziz Mohamed Ibrahim |
| description | The Banfi-Marchesini-Smye (BMS) equation accounts for non-global logarithms to all orders in perturbation theory in the large-Nc approximation. We show that the squared amplitudes for the emission of soft energy-ordered gluons are correctly embedded in this equation, and explicitly verify that they coincide with those derived in our previous work in the large-Nc limit up to sixth order in the strong coupling. We perform analytical calculations for the non-global logarithms up to fourth order for the specific hemisphere mass distribution in e+ e- collisions, thus confirming our previous semi-numerical results. We show that the solution to the BMS equation may be cast into a product of an infinite number of exponentials each of which resums a class of Feynman diagrams that manifest a symmetry pattern, and explicitly carry out the computation of the first of these exponentials. |
| doi_str_mv | 10.48550/arxiv.2006.06738 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2006_06738</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2413230256</sourcerecordid><originalsourceid>FETCH-LOGICAL-a526-e9f963872b1d33d09c2d62c2d66b1e5b8a1f3a8468cc56f7b152eab3ce7e04133</originalsourceid><addsrcrecordid>eNotj8tOwzAURC0kJKrSD2CFJdYJ9r2x4yxpVR5SEQu6j-zEaVOSOLUTBH9P2rKZWczRSIeQO87iRAnBHrX_qb9jYEzGTKaorsgMEHmkEoAbsgjhwBgDmYIQOCPLdf3lOt1Q3fZNPYylDVR3Je1cF-0aZ6alcTvt62HfBlp519Jhb-ny_ZPa46iH2nW35LrSTbCL_56T7fN6u3qNNh8vb6unTaQFyMhmVSZRpWB4iViyrIBSwimk4VYYpXmFWiVSFYWQVWq4AKsNFja1LOGIc3J_uT0L5r2vW-1_85NofhadiIcL0Xt3HG0Y8oMb_SQXcpgeABkIiX-l8VVb</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2413230256</pqid></control><display><type>article</type><title>Eikonal amplitudes and non-global logarithms from the BMS equation</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Benslama, Hana ; Yazid Delenda ; Kamel Khelifa-Kerfa ; Abdelaziz Mohamed Ibrahim</creator><creatorcontrib>Benslama, Hana ; Yazid Delenda ; Kamel Khelifa-Kerfa ; Abdelaziz Mohamed Ibrahim</creatorcontrib><description>The Banfi-Marchesini-Smye (BMS) equation accounts for non-global logarithms to all orders in perturbation theory in the large-Nc approximation. We show that the squared amplitudes for the emission of soft energy-ordered gluons are correctly embedded in this equation, and explicitly verify that they coincide with those derived in our previous work in the large-Nc limit up to sixth order in the strong coupling. We perform analytical calculations for the non-global logarithms up to fourth order for the specific hemisphere mass distribution in e+ e- collisions, thus confirming our previous semi-numerical results. We show that the solution to the BMS equation may be cast into a product of an infinite number of exponentials each of which resums a class of Feynman diagrams that manifest a symmetry pattern, and explicitly carry out the computation of the first of these exponentials.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2006.06738</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Amplitudes ; Feynman diagrams ; Gluons ; Logarithms ; Mass distribution ; Perturbation theory ; Physics - High Energy Physics - Phenomenology</subject><ispartof>arXiv.org, 2020-09</ispartof><rights>2020. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.1134/S1547477121010039$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.2006.06738$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Benslama, Hana</creatorcontrib><creatorcontrib>Yazid Delenda</creatorcontrib><creatorcontrib>Kamel Khelifa-Kerfa</creatorcontrib><creatorcontrib>Abdelaziz Mohamed Ibrahim</creatorcontrib><title>Eikonal amplitudes and non-global logarithms from the BMS equation</title><title>arXiv.org</title><description>The Banfi-Marchesini-Smye (BMS) equation accounts for non-global logarithms to all orders in perturbation theory in the large-Nc approximation. We show that the squared amplitudes for the emission of soft energy-ordered gluons are correctly embedded in this equation, and explicitly verify that they coincide with those derived in our previous work in the large-Nc limit up to sixth order in the strong coupling. We perform analytical calculations for the non-global logarithms up to fourth order for the specific hemisphere mass distribution in e+ e- collisions, thus confirming our previous semi-numerical results. We show that the solution to the BMS equation may be cast into a product of an infinite number of exponentials each of which resums a class of Feynman diagrams that manifest a symmetry pattern, and explicitly carry out the computation of the first of these exponentials.</description><subject>Amplitudes</subject><subject>Feynman diagrams</subject><subject>Gluons</subject><subject>Logarithms</subject><subject>Mass distribution</subject><subject>Perturbation theory</subject><subject>Physics - High Energy Physics - Phenomenology</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj8tOwzAURC0kJKrSD2CFJdYJ9r2x4yxpVR5SEQu6j-zEaVOSOLUTBH9P2rKZWczRSIeQO87iRAnBHrX_qb9jYEzGTKaorsgMEHmkEoAbsgjhwBgDmYIQOCPLdf3lOt1Q3fZNPYylDVR3Je1cF-0aZ6alcTvt62HfBlp519Jhb-ny_ZPa46iH2nW35LrSTbCL_56T7fN6u3qNNh8vb6unTaQFyMhmVSZRpWB4iViyrIBSwimk4VYYpXmFWiVSFYWQVWq4AKsNFja1LOGIc3J_uT0L5r2vW-1_85NofhadiIcL0Xt3HG0Y8oMb_SQXcpgeABkIiX-l8VVb</recordid><startdate>20200911</startdate><enddate>20200911</enddate><creator>Benslama, Hana</creator><creator>Yazid Delenda</creator><creator>Kamel Khelifa-Kerfa</creator><creator>Abdelaziz Mohamed Ibrahim</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20200911</creationdate><title>Eikonal amplitudes and non-global logarithms from the BMS equation</title><author>Benslama, Hana ; Yazid Delenda ; Kamel Khelifa-Kerfa ; Abdelaziz Mohamed Ibrahim</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a526-e9f963872b1d33d09c2d62c2d66b1e5b8a1f3a8468cc56f7b152eab3ce7e04133</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Amplitudes</topic><topic>Feynman diagrams</topic><topic>Gluons</topic><topic>Logarithms</topic><topic>Mass distribution</topic><topic>Perturbation theory</topic><topic>Physics - High Energy Physics - Phenomenology</topic><toplevel>online_resources</toplevel><creatorcontrib>Benslama, Hana</creatorcontrib><creatorcontrib>Yazid Delenda</creatorcontrib><creatorcontrib>Kamel Khelifa-Kerfa</creatorcontrib><creatorcontrib>Abdelaziz Mohamed Ibrahim</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>Proquest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</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><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Benslama, Hana</au><au>Yazid Delenda</au><au>Kamel Khelifa-Kerfa</au><au>Abdelaziz Mohamed Ibrahim</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Eikonal amplitudes and non-global logarithms from the BMS equation</atitle><jtitle>arXiv.org</jtitle><date>2020-09-11</date><risdate>2020</risdate><eissn>2331-8422</eissn><abstract>The Banfi-Marchesini-Smye (BMS) equation accounts for non-global logarithms to all orders in perturbation theory in the large-Nc approximation. We show that the squared amplitudes for the emission of soft energy-ordered gluons are correctly embedded in this equation, and explicitly verify that they coincide with those derived in our previous work in the large-Nc limit up to sixth order in the strong coupling. We perform analytical calculations for the non-global logarithms up to fourth order for the specific hemisphere mass distribution in e+ e- collisions, thus confirming our previous semi-numerical results. We show that the solution to the BMS equation may be cast into a product of an infinite number of exponentials each of which resums a class of Feynman diagrams that manifest a symmetry pattern, and explicitly carry out the computation of the first of these exponentials.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2006.06738</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2020-09 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_2006_06738 |
| source | arXiv.org; Free E- Journals |
| subjects | Amplitudes Feynman diagrams Gluons Logarithms Mass distribution Perturbation theory Physics - High Energy Physics - Phenomenology |
| title | Eikonal amplitudes and non-global logarithms from the BMS equation |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-24T17%3A17%3A26IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Eikonal%20amplitudes%20and%20non-global%20logarithms%20from%20the%20BMS%20equation&rft.jtitle=arXiv.org&rft.au=Benslama,%20Hana&rft.date=2020-09-11&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2006.06738&rft_dat=%3Cproquest_arxiv%3E2413230256%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2413230256&rft_id=info:pmid/&rfr_iscdi=true |