Dispersion relations for the hadronic VVA correlator
We derive two types of dispersion relations for the hadronic vector-vector-axial-vector (VVA) correlator: one in generic three-point kinematics with fixed photon virtualities, the second in the kinematic limit of one soft photon. The VVA correlator enters in the electroweak contribution to the muon...
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creator | Lüdtke, Jan Procura, Massimiliano Stoffer, Peter |
description | We derive two types of dispersion relations for the hadronic
vector-vector-axial-vector (VVA) correlator: one in generic three-point
kinematics with fixed photon virtualities, the second in the kinematic limit of
one soft photon. The VVA correlator enters in the electroweak contribution to
the muon anomalous magnetic moment and it also emerges as the leading term in
the operator-product expansion for hadronic light-by-light scattering in the
limit of two large photon momenta. Previously, this correlator was only
described in terms of hadronic models. Our new dispersive treatments are in
analogy to the established and the newly proposed dispersive approaches to
hadronic light-by-light. The VVA correlator allows us to investigate the
relation between the two types of dispersion relations in a simpler example and
to elucidate the reshuffling of different hadronic contributions in this
comparison. As a byproduct, we reduce the theoretical uncertainties on the
first-family VVA contribution to the muon anomalous magnetic moment by
combining the dispersive representation with both asymptotic and low-energy
constraints. |
doi_str_mv | 10.48550/arxiv.2410.11946 |
format | Article |
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vector-vector-axial-vector (VVA) correlator: one in generic three-point
kinematics with fixed photon virtualities, the second in the kinematic limit of
one soft photon. The VVA correlator enters in the electroweak contribution to
the muon anomalous magnetic moment and it also emerges as the leading term in
the operator-product expansion for hadronic light-by-light scattering in the
limit of two large photon momenta. Previously, this correlator was only
described in terms of hadronic models. Our new dispersive treatments are in
analogy to the established and the newly proposed dispersive approaches to
hadronic light-by-light. The VVA correlator allows us to investigate the
relation between the two types of dispersion relations in a simpler example and
to elucidate the reshuffling of different hadronic contributions in this
comparison. As a byproduct, we reduce the theoretical uncertainties on the
first-family VVA contribution to the muon anomalous magnetic moment by
combining the dispersive representation with both asymptotic and low-energy
constraints.</description><identifier>DOI: 10.48550/arxiv.2410.11946</identifier><language>eng</language><subject>Physics - High Energy Physics - Experiment ; Physics - High Energy Physics - Lattice ; Physics - High Energy Physics - Phenomenology</subject><creationdate>2024-10</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/2410.11946$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2410.11946$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Lüdtke, Jan</creatorcontrib><creatorcontrib>Procura, Massimiliano</creatorcontrib><creatorcontrib>Stoffer, Peter</creatorcontrib><title>Dispersion relations for the hadronic VVA correlator</title><description>We derive two types of dispersion relations for the hadronic
vector-vector-axial-vector (VVA) correlator: one in generic three-point
kinematics with fixed photon virtualities, the second in the kinematic limit of
one soft photon. The VVA correlator enters in the electroweak contribution to
the muon anomalous magnetic moment and it also emerges as the leading term in
the operator-product expansion for hadronic light-by-light scattering in the
limit of two large photon momenta. Previously, this correlator was only
described in terms of hadronic models. Our new dispersive treatments are in
analogy to the established and the newly proposed dispersive approaches to
hadronic light-by-light. The VVA correlator allows us to investigate the
relation between the two types of dispersion relations in a simpler example and
to elucidate the reshuffling of different hadronic contributions in this
comparison. As a byproduct, we reduce the theoretical uncertainties on the
first-family VVA contribution to the muon anomalous magnetic moment by
combining the dispersive representation with both asymptotic and low-energy
constraints.</description><subject>Physics - High Energy Physics - Experiment</subject><subject>Physics - High Energy Physics - Lattice</subject><subject>Physics - High Energy Physics - Phenomenology</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMgEKGBpamphxMpi4ZBYXpBYVZ-bnKRSl5iSWABnFCmn5RQolGakKGYkpRfl5mckKYWGOCsn5RWAV-UU8DKxpiTnFqbxQmptB3s01xNlDF2x-fEFRZm5iUWU8yJ54sD3GhFUAAEHzMmc</recordid><startdate>20241015</startdate><enddate>20241015</enddate><creator>Lüdtke, Jan</creator><creator>Procura, Massimiliano</creator><creator>Stoffer, Peter</creator><scope>GOX</scope></search><sort><creationdate>20241015</creationdate><title>Dispersion relations for the hadronic VVA correlator</title><author>Lüdtke, Jan ; Procura, Massimiliano ; Stoffer, Peter</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2410_119463</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Physics - High Energy Physics - Experiment</topic><topic>Physics - High Energy Physics - Lattice</topic><topic>Physics - High Energy Physics - Phenomenology</topic><toplevel>online_resources</toplevel><creatorcontrib>Lüdtke, Jan</creatorcontrib><creatorcontrib>Procura, Massimiliano</creatorcontrib><creatorcontrib>Stoffer, Peter</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Lüdtke, Jan</au><au>Procura, Massimiliano</au><au>Stoffer, Peter</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dispersion relations for the hadronic VVA correlator</atitle><date>2024-10-15</date><risdate>2024</risdate><abstract>We derive two types of dispersion relations for the hadronic
vector-vector-axial-vector (VVA) correlator: one in generic three-point
kinematics with fixed photon virtualities, the second in the kinematic limit of
one soft photon. The VVA correlator enters in the electroweak contribution to
the muon anomalous magnetic moment and it also emerges as the leading term in
the operator-product expansion for hadronic light-by-light scattering in the
limit of two large photon momenta. Previously, this correlator was only
described in terms of hadronic models. Our new dispersive treatments are in
analogy to the established and the newly proposed dispersive approaches to
hadronic light-by-light. The VVA correlator allows us to investigate the
relation between the two types of dispersion relations in a simpler example and
to elucidate the reshuffling of different hadronic contributions in this
comparison. As a byproduct, we reduce the theoretical uncertainties on the
first-family VVA contribution to the muon anomalous magnetic moment by
combining the dispersive representation with both asymptotic and low-energy
constraints.</abstract><doi>10.48550/arxiv.2410.11946</doi><oa>free_for_read</oa></addata></record> |
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subjects | Physics - High Energy Physics - Experiment Physics - High Energy Physics - Lattice Physics - High Energy Physics - Phenomenology |
title | Dispersion relations for the hadronic VVA correlator |
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