Short distance constraints from HLbL contribution to the muon anomalous magnetic moment
Hadronic Light by Light (HLbL) scattering is not the biggest hadronic contribution to the muon’s anomalous magnetic moment, but it has the biggest relative uncertainty of all the contributions to that observable. With the tension between the Standard Model value prediction and the measurement at 4.2...
- Autores:
-
Melo Porras, Daniel Gerardo
- Tipo de recurso:
- Fecha de publicación:
- 2023
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/83744
- Palabra clave:
- 530 - Física::539 - Física moderna
Partículas (física nuclear)
Espectroscopia de electrones
Particles (Nuclear physics)
Electron spectroscopy
Anomalous magnetic moment of the muon
HLbL
Mellin-Barnes
OPE
Hypergeometric series
Multivariate residues
Kinematic singularities
- Rights
- openAccess
- License
- Reconocimiento 4.0 Internacional
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| dc.title.eng.fl_str_mv |
Short distance constraints from HLbL contribution to the muon anomalous magnetic moment |
| dc.title.translated.spa.fl_str_mv |
Límites de corta distancia de la contribución HLbL al momento magnético anómalo del muon |
| title |
Short distance constraints from HLbL contribution to the muon anomalous magnetic moment |
| spellingShingle |
Short distance constraints from HLbL contribution to the muon anomalous magnetic moment 530 - Física::539 - Física moderna Partículas (física nuclear) Espectroscopia de electrones Particles (Nuclear physics) Electron spectroscopy Anomalous magnetic moment of the muon HLbL Mellin-Barnes OPE Hypergeometric series Multivariate residues Kinematic singularities |
| title_short |
Short distance constraints from HLbL contribution to the muon anomalous magnetic moment |
| title_full |
Short distance constraints from HLbL contribution to the muon anomalous magnetic moment |
| title_fullStr |
Short distance constraints from HLbL contribution to the muon anomalous magnetic moment |
| title_full_unstemmed |
Short distance constraints from HLbL contribution to the muon anomalous magnetic moment |
| title_sort |
Short distance constraints from HLbL contribution to the muon anomalous magnetic moment |
| dc.creator.fl_str_mv |
Melo Porras, Daniel Gerardo |
| dc.contributor.advisor.none.fl_str_mv |
Fazio, Angelo Raffaele Reyes Rojas, Edilson Alfonso |
| dc.contributor.author.none.fl_str_mv |
Melo Porras, Daniel Gerardo |
| dc.contributor.researchgroup.spa.fl_str_mv |
Grupo de Campos y Particulas |
| dc.subject.ddc.spa.fl_str_mv |
530 - Física::539 - Física moderna |
| topic |
530 - Física::539 - Física moderna Partículas (física nuclear) Espectroscopia de electrones Particles (Nuclear physics) Electron spectroscopy Anomalous magnetic moment of the muon HLbL Mellin-Barnes OPE Hypergeometric series Multivariate residues Kinematic singularities |
| dc.subject.lemb.spa.fl_str_mv |
Partículas (física nuclear) Espectroscopia de electrones |
| dc.subject.lemb.eng.fl_str_mv |
Particles (Nuclear physics) Electron spectroscopy |
| dc.subject.proposal.eng.fl_str_mv |
Anomalous magnetic moment of the muon HLbL Mellin-Barnes OPE Hypergeometric series Multivariate residues Kinematic singularities |
| description |
Hadronic Light by Light (HLbL) scattering is not the biggest hadronic contribution to the muon’s anomalous magnetic moment, but it has the biggest relative uncertainty of all the contributions to that observable. With the tension between the Standard Model value prediction and the measurement at 4.2 σ, theoretical physicists have set their sights on reducing the HLbL contribution’s uncertainty to reduce the tension or push it beyond the discovery threshold. In such scenario, the high energy contribution of HLbL scattering to anomalous magnetic moment of the muon plays an important role. The aim of the research developed in this thesis is to study the HLbL leading order contribution in the maximally symmetric high energy region well above the hadronic threshold limit. This is achieved by performing an operator product expansion of the HLbL tensor, which we do systematically in the background field method. We consider our approach very efficient, also because it allows a straightforward renormalization of the field theoretical results. Our approach is also original and at the best of our knowledge not available in literature. The massless quark loop is the leading term and we compute it without neglecting its tensor structure. To this end, we use a tensor–loop–integral decomposition that does not in- troduce kinematic singularities. The resulting scalar loop integrals with shifted dimensions are computed with their full mass dependence using a Mellin–Barnes representation. Our original method of computation for the quark loop provides an independent check of recent literature results. Furthermore, by conserving the full tensor structure of the amplitude, we are able to perform an explicit check of a proposed kinematic–singularity–free tensor decomposition for the HLbL scattering amplitude that plays a central role in the dispersive computation in the low–energy regime. (Texto tomado de la fuente) |
| publishDate |
2023 |
| dc.date.accessioned.none.fl_str_mv |
2023-04-19T21:23:05Z |
| dc.date.available.none.fl_str_mv |
2023-04-19T21:23:05Z |
| dc.date.issued.none.fl_str_mv |
2023 |
| dc.type.spa.fl_str_mv |
Trabajo de grado - Maestría |
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info:eu-repo/semantics/masterThesis |
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info:eu-repo/semantics/acceptedVersion |
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Text |
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http://purl.org/redcol/resource_type/TM |
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acceptedVersion |
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https://repositorio.unal.edu.co/handle/unal/83744 |
| dc.identifier.instname.spa.fl_str_mv |
Universidad Nacional de Colombia |
| dc.identifier.reponame.spa.fl_str_mv |
Repositorio Institucional Universidad Nacional de Colombia |
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https://repositorio.unal.edu.co/ |
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https://repositorio.unal.edu.co/handle/unal/83744 https://repositorio.unal.edu.co/ |
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Universidad Nacional de Colombia Repositorio Institucional Universidad Nacional de Colombia |
| dc.language.iso.spa.fl_str_mv |
eng |
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eng |
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In: EPJ Web of Conferences 274.06010 (2022). arXiv:2211.04068 [hep-ph]. URL: https://doi.org/10.1051/epjconf/202227406010 E. V. Shuryak and A. I. Vainshtein. In: Nuclear Physics B 201.1 (1982), pp. 141–158. URL: https://doi.org/10.1016/0550-3213(82)90377-7 A. J. Macfarlane. In: Communications in Mathematical Physics 2 (1966), pp. 133–146. URL: https://doi.org/10.1007/BF01773348 |
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Reconocimiento 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Fazio, Angelo Raffaele3294e9948346151aa529488ff66aba54Reyes Rojas, Edilson Alfonso047be5506431d63e60cfb709082a6fb4Melo Porras, Daniel Gerardoc387f178532c3976b34fee74077b4ca2Grupo de Campos y Particulas2023-04-19T21:23:05Z2023-04-19T21:23:05Z2023https://repositorio.unal.edu.co/handle/unal/83744Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/Hadronic Light by Light (HLbL) scattering is not the biggest hadronic contribution to the muon’s anomalous magnetic moment, but it has the biggest relative uncertainty of all the contributions to that observable. With the tension between the Standard Model value prediction and the measurement at 4.2 σ, theoretical physicists have set their sights on reducing the HLbL contribution’s uncertainty to reduce the tension or push it beyond the discovery threshold. In such scenario, the high energy contribution of HLbL scattering to anomalous magnetic moment of the muon plays an important role. The aim of the research developed in this thesis is to study the HLbL leading order contribution in the maximally symmetric high energy region well above the hadronic threshold limit. This is achieved by performing an operator product expansion of the HLbL tensor, which we do systematically in the background field method. We consider our approach very efficient, also because it allows a straightforward renormalization of the field theoretical results. Our approach is also original and at the best of our knowledge not available in literature. The massless quark loop is the leading term and we compute it without neglecting its tensor structure. To this end, we use a tensor–loop–integral decomposition that does not in- troduce kinematic singularities. The resulting scalar loop integrals with shifted dimensions are computed with their full mass dependence using a Mellin–Barnes representation. Our original method of computation for the quark loop provides an independent check of recent literature results. Furthermore, by conserving the full tensor structure of the amplitude, we are able to perform an explicit check of a proposed kinematic–singularity–free tensor decomposition for the HLbL scattering amplitude that plays a central role in the dispersive computation in the low–energy regime. (Texto tomado de la fuente)La dispersión HLbL no es la contribución hadrónica más grande para el momento magnético anómalo del muon, pero esta tiene la incertidumbre relativa más grande de todas las contribuciones a ese observable. Con la tensión entre la valor predicho por el Modelo Estándar y las mediciones actualmente en 4.2 σ, los físico teóricos se han centrado en reducir la incertidumbre de la contribución HLbL para reducir la tensión o llevarla más allá del umbral de descubrimiento. En tal escenario, la contribución de alta energía de la dispersión HLbL al momento magnético anómalo del muon juega un papel importante. El objetivo de la investigación desarrollada en esta tesis es estudiar la contribución HLbL de primer orden en la región de alta energía máximamente simétrica muy por encima del límite del umbral hadrónico. Esto se logra al realizar una expansión de productos de operadores del tensor HLbL, la cual realizamos sistemáticamente con el método de campos de fondo. Consideramos nuestra aproximación al problema muy eficiente, entre otras razones, porque esta permite la renormalización directa de los resultados de teoría de campos. Nuestro método es también original y, hasta nuestro mejor conocimiento, no se encuentra en la literatura. El quark loop sin masa es el primer término de la expansión y lo calculamos sin dejar de lado su estructura tensorial. Para lograrlo, usamos un método de descomposición tensorial de integrales de loop que no introduce singularidades cinemáticas. Las integrales escalares de loop resultantes con dimensiones modificadas son calculadas considerando toda su dependencia de la masa y utilizando la representación de Mellin-Barnes. Nuestro método original de cálculo para el quark loop proporciona una verificación independiente de los resultados publicados recientemente en la literatura. Más aún, al conservar la estructura tensorial completa de la amplitud, podemos llevar a cabo una verificación explícita de una descomposición libre de singularidades cinemáticas para la dispersión HLbL que juega un papel central en los cálculos dispersivos del régimen de baja energía.Maestríaix, 113 páginasapplication/pdfengUniversidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - FísicaFacultad de CienciasBogotá,ColombiaUniversidad Nacional de Colombia - Sede Bogotá530 - Física::539 - Física modernaPartículas (física nuclear)Espectroscopia de electronesParticles (Nuclear physics)Electron spectroscopyAnomalous magnetic moment of the muonHLbLMellin-BarnesOPEHypergeometric seriesMultivariate residuesKinematic singularitiesShort distance constraints from HLbL contribution to the muon anomalous magnetic momentLímites de corta distancia de la contribución HLbL al momento magnético anómalo del muonTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMD. 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URL: https://doi.org/10.1007/BF01773348EstudiantesInvestigadoresTHUMBNAIL1007436748.2023.pdf.jpg1007436748.2023.pdf.jpgGenerated Thumbnailimage/jpeg4548https://repositorio.unal.edu.co/bitstream/unal/83744/6/1007436748.2023.pdf.jpg1526f94a34604e9b9aee08626905ba03MD56LICENSElicense.txtlicense.txttext/plain; charset=utf-85879https://repositorio.unal.edu.co/bitstream/unal/83744/1/license.txteb34b1cf90b7e1103fc9dfd26be24b4aMD51ORIGINAL1007436748.2023.pdf1007436748.2023.pdfTesis de Maestría en Ciencias - Físicaapplication/pdf822365https://repositorio.unal.edu.co/bitstream/unal/83744/5/1007436748.2023.pdf79666ac1fd6473a9a91c214268411421MD55unal/83744oai:repositorio.unal.edu.co:unal/837442023-08-02 23:03:58.972Repositorio Institucional Universidad Nacional de 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