On the resolution of singularities of multiple Mellin–Barnes integrals
One of the two existing strategies of resolving singularities of multifold Mellin–Barnes integrals in the dimensional regularization parameter, or a parameter of the analytic regularization, is formulated in a modified form. The corresponding algorithm is implemented as a Mathematica code MBresolve....
Gespeichert in:
Veröffentlicht in: | The European physical journal. C, Particles and fields Particles and fields, 2009-07, Vol.62 (2), p.445-449 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 449 |
---|---|
container_issue | 2 |
container_start_page | 445 |
container_title | The European physical journal. C, Particles and fields |
container_volume | 62 |
creator | Smirnov, A. V. Smirnov, V. A. |
description | One of the two existing strategies of resolving singularities of multifold Mellin–Barnes integrals in the dimensional regularization parameter, or a parameter of the analytic regularization, is formulated in a modified form. The corresponding algorithm is implemented as a Mathematica code MBresolve.m |
doi_str_mv | 10.1140/epjc/s10052-009-1039-6 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_855674710</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2294030469</sourcerecordid><originalsourceid>FETCH-LOGICAL-c477t-6ea8498cd5848c603be9c98e0c4cf4f92e949f87713525eb3238cbc6e85339f93</originalsourceid><addsrcrecordid>eNqFkEFOwzAQRS0EEqVwBRSJBavQcew49hIqSpGKuoG1lZpJcZU6wU4W7LgDN-QkOAoCiQ2rGf2Z__X1CDmncEUphxm2OzMLFCDPUgCVUmAqFQdkQjnjqYjy4c_O-TE5CWEHABkHOSHLtUu6F0w8hqbuO9u4pKmSYN22r0tvO4thEPZ93dm2xuQB69q6z_ePm9K7eLOuw60v63BKjqo48Ox7TsnT4vZxvkxX67v7-fUqNbwoulRgKbmS5jmXXBoBbIPKKIlguKl4pTJUXFWyKCjLsxw3LGPSbIxAmTOmKsWm5HLMbX3z2mPo9N4GE1uVDps-aJnnouBFhDAlF38-d03vXSyns0xxYMDFkCfGL-ObEDxWuvV2X_o3TUEPfPXAV498deSrB75aRGMxGkM0uC363_h_nF8RI4HR</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2294030469</pqid></control><display><type>article</type><title>On the resolution of singularities of multiple Mellin–Barnes integrals</title><source>SpringerLink Journals</source><source>Springer Nature OA Free Journals</source><creator>Smirnov, A. V. ; Smirnov, V. A.</creator><creatorcontrib>Smirnov, A. V. ; Smirnov, V. A.</creatorcontrib><description>One of the two existing strategies of resolving singularities of multifold Mellin–Barnes integrals in the dimensional regularization parameter, or a parameter of the analytic regularization, is formulated in a modified form. The corresponding algorithm is implemented as a Mathematica code MBresolve.m</description><identifier>ISSN: 1434-6044</identifier><identifier>EISSN: 1434-6052</identifier><identifier>DOI: 10.1140/epjc/s10052-009-1039-6</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Algorithms ; Astronomy ; Astrophysics and Cosmology ; Elementary Particles ; Hadrons ; Heavy Ions ; Integrals ; Mathematical analysis ; Measurement Science and Instrumentation ; Nuclear Energy ; Nuclear Physics ; Parameter modification ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Regularization ; Singularities ; Special Article - Tools for Experiment and Theory ; Strategy ; String Theory</subject><ispartof>The European physical journal. C, Particles and fields, 2009-07, Vol.62 (2), p.445-449</ispartof><rights>Springer-Verlag / Società Italiana di Fisica 2009</rights><rights>The European Physical Journal C is a copyright of Springer, (2009). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c477t-6ea8498cd5848c603be9c98e0c4cf4f92e949f87713525eb3238cbc6e85339f93</citedby><cites>FETCH-LOGICAL-c477t-6ea8498cd5848c603be9c98e0c4cf4f92e949f87713525eb3238cbc6e85339f93</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjc/s10052-009-1039-6$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1140/epjc/s10052-009-1039-6$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,27901,27902,41096,41464,42165,42533,51294,51551</link.rule.ids></links><search><creatorcontrib>Smirnov, A. V.</creatorcontrib><creatorcontrib>Smirnov, V. A.</creatorcontrib><title>On the resolution of singularities of multiple Mellin–Barnes integrals</title><title>The European physical journal. C, Particles and fields</title><addtitle>Eur. Phys. J. C</addtitle><description>One of the two existing strategies of resolving singularities of multifold Mellin–Barnes integrals in the dimensional regularization parameter, or a parameter of the analytic regularization, is formulated in a modified form. The corresponding algorithm is implemented as a Mathematica code MBresolve.m</description><subject>Algorithms</subject><subject>Astronomy</subject><subject>Astrophysics and Cosmology</subject><subject>Elementary Particles</subject><subject>Hadrons</subject><subject>Heavy Ions</subject><subject>Integrals</subject><subject>Mathematical analysis</subject><subject>Measurement Science and Instrumentation</subject><subject>Nuclear Energy</subject><subject>Nuclear Physics</subject><subject>Parameter modification</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Regularization</subject><subject>Singularities</subject><subject>Special Article - Tools for Experiment and Theory</subject><subject>Strategy</subject><subject>String Theory</subject><issn>1434-6044</issn><issn>1434-6052</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>BENPR</sourceid><recordid>eNqFkEFOwzAQRS0EEqVwBRSJBavQcew49hIqSpGKuoG1lZpJcZU6wU4W7LgDN-QkOAoCiQ2rGf2Z__X1CDmncEUphxm2OzMLFCDPUgCVUmAqFQdkQjnjqYjy4c_O-TE5CWEHABkHOSHLtUu6F0w8hqbuO9u4pKmSYN22r0tvO4thEPZ93dm2xuQB69q6z_ePm9K7eLOuw60v63BKjqo48Ox7TsnT4vZxvkxX67v7-fUqNbwoulRgKbmS5jmXXBoBbIPKKIlguKl4pTJUXFWyKCjLsxw3LGPSbIxAmTOmKsWm5HLMbX3z2mPo9N4GE1uVDps-aJnnouBFhDAlF38-d03vXSyns0xxYMDFkCfGL-ObEDxWuvV2X_o3TUEPfPXAV498deSrB75aRGMxGkM0uC363_h_nF8RI4HR</recordid><startdate>20090701</startdate><enddate>20090701</enddate><creator>Smirnov, A. V.</creator><creator>Smirnov, V. A.</creator><general>Springer-Verlag</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</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>H8D</scope><scope>HCIFZ</scope><scope>L7M</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope></search><sort><creationdate>20090701</creationdate><title>On the resolution of singularities of multiple Mellin–Barnes integrals</title><author>Smirnov, A. V. ; Smirnov, V. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c477t-6ea8498cd5848c603be9c98e0c4cf4f92e949f87713525eb3238cbc6e85339f93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Algorithms</topic><topic>Astronomy</topic><topic>Astrophysics and Cosmology</topic><topic>Elementary Particles</topic><topic>Hadrons</topic><topic>Heavy Ions</topic><topic>Integrals</topic><topic>Mathematical analysis</topic><topic>Measurement Science and Instrumentation</topic><topic>Nuclear Energy</topic><topic>Nuclear Physics</topic><topic>Parameter modification</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Regularization</topic><topic>Singularities</topic><topic>Special Article - Tools for Experiment and Theory</topic><topic>Strategy</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Smirnov, A. V.</creatorcontrib><creatorcontrib>Smirnov, V. A.</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</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</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Advanced Technologies & Aerospace Database</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 European physical journal. C, Particles and fields</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Smirnov, A. V.</au><au>Smirnov, V. A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the resolution of singularities of multiple Mellin–Barnes integrals</atitle><jtitle>The European physical journal. C, Particles and fields</jtitle><stitle>Eur. Phys. J. C</stitle><date>2009-07-01</date><risdate>2009</risdate><volume>62</volume><issue>2</issue><spage>445</spage><epage>449</epage><pages>445-449</pages><issn>1434-6044</issn><eissn>1434-6052</eissn><abstract>One of the two existing strategies of resolving singularities of multifold Mellin–Barnes integrals in the dimensional regularization parameter, or a parameter of the analytic regularization, is formulated in a modified form. The corresponding algorithm is implemented as a Mathematica code MBresolve.m</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1140/epjc/s10052-009-1039-6</doi><tpages>5</tpages><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 1434-6044 |
ispartof | The European physical journal. C, Particles and fields, 2009-07, Vol.62 (2), p.445-449 |
issn | 1434-6044 1434-6052 |
language | eng |
recordid | cdi_proquest_miscellaneous_855674710 |
source | SpringerLink Journals; Springer Nature OA Free Journals |
subjects | Algorithms Astronomy Astrophysics and Cosmology Elementary Particles Hadrons Heavy Ions Integrals Mathematical analysis Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Parameter modification Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Regularization Singularities Special Article - Tools for Experiment and Theory Strategy String Theory |
title | On the resolution of singularities of multiple Mellin–Barnes integrals |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-10T08%3A54%3A31IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20resolution%20of%20singularities%20of%20multiple%20Mellin%E2%80%93Barnes%20integrals&rft.jtitle=The%20European%20physical%20journal.%20C,%20Particles%20and%20fields&rft.au=Smirnov,%20A.%20V.&rft.date=2009-07-01&rft.volume=62&rft.issue=2&rft.spage=445&rft.epage=449&rft.pages=445-449&rft.issn=1434-6044&rft.eissn=1434-6052&rft_id=info:doi/10.1140/epjc/s10052-009-1039-6&rft_dat=%3Cproquest_cross%3E2294030469%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2294030469&rft_id=info:pmid/&rfr_iscdi=true |