An optimized basis for hadronic light-by-light scattering
Abstract We present a new basis for the hadronic light-by-light (HLbL) tensor that is optimized for the evaluation of narrow-resonance contributions to HLbL scattering in the anomalous magnetic moment of the muon. As main advantage, kinematic singularities are manifestly absent for pseudoscalar, sca...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2024)092 |
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| author | Martin Hoferichter Peter Stoffer Maximilian Zillinger |
| author_facet | Martin Hoferichter Peter Stoffer Maximilian Zillinger |
| author_sort | Martin Hoferichter |
| collection | DOAJ |
| description | Abstract We present a new basis for the hadronic light-by-light (HLbL) tensor that is optimized for the evaluation of narrow-resonance contributions to HLbL scattering in the anomalous magnetic moment of the muon. As main advantage, kinematic singularities are manifestly absent for pseudoscalar, scalar, and axial-vector states, while the remaining singularities for tensor resonances are minimized, even avoided for special cases, and simple crossing relations among the scalar functions maintained. We scrutinize the properties of this new basis for the scalar-QED pion box, demonstrating that the partial-wave convergence even slightly improves compared to our previous work, and discuss the physical sum rules that ensure basis independence of the HLbL contribution. Finally, we provide explicit expressions for narrow (pseudo-)scalar, axial-vector, and tensor intermediate states in terms of their respective transition form factors. |
| format | Article |
| id | doaj-art-451ae7a23c1344f78b15be59552ac0f2 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-451ae7a23c1344f78b15be59552ac0f22025-08-20T02:51:27ZengSpringerOpenJournal of High Energy Physics1029-84792024-04-012024412610.1007/JHEP04(2024)092An optimized basis for hadronic light-by-light scatteringMartin Hoferichter0Peter Stoffer1Maximilian Zillinger2Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of BernPhysik-Institut, Universität ZürichAlbert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of BernAbstract We present a new basis for the hadronic light-by-light (HLbL) tensor that is optimized for the evaluation of narrow-resonance contributions to HLbL scattering in the anomalous magnetic moment of the muon. As main advantage, kinematic singularities are manifestly absent for pseudoscalar, scalar, and axial-vector states, while the remaining singularities for tensor resonances are minimized, even avoided for special cases, and simple crossing relations among the scalar functions maintained. We scrutinize the properties of this new basis for the scalar-QED pion box, demonstrating that the partial-wave convergence even slightly improves compared to our previous work, and discuss the physical sum rules that ensure basis independence of the HLbL contribution. Finally, we provide explicit expressions for narrow (pseudo-)scalar, axial-vector, and tensor intermediate states in terms of their respective transition form factors.https://doi.org/10.1007/JHEP04(2024)092Chiral LagrangianNonperturbative EffectsPrecision QED |
| spellingShingle | Martin Hoferichter Peter Stoffer Maximilian Zillinger An optimized basis for hadronic light-by-light scattering Journal of High Energy Physics Chiral Lagrangian Nonperturbative Effects Precision QED |
| title | An optimized basis for hadronic light-by-light scattering |
| title_full | An optimized basis for hadronic light-by-light scattering |
| title_fullStr | An optimized basis for hadronic light-by-light scattering |
| title_full_unstemmed | An optimized basis for hadronic light-by-light scattering |
| title_short | An optimized basis for hadronic light-by-light scattering |
| title_sort | optimized basis for hadronic light by light scattering |
| topic | Chiral Lagrangian Nonperturbative Effects Precision QED |
| url | https://doi.org/10.1007/JHEP04(2024)092 |
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