The γπ → ππ anomaly from lattice QCD and dispersion relations
Abstract We propose a formalism to extract the γπ → ππ chiral anomaly F 3π from calculations in lattice QCD performed at larger-than-physical pion masses. To this end, we start from a dispersive representation of the γ (*) π → ππ amplitude, whose main quark-mass dependence arises from the ππ scatter...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2021)038 |
| _version_ | 1818873422426406912 |
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| author | Malwin Niehus Martin Hoferichter Bastian Kubis |
| author_facet | Malwin Niehus Martin Hoferichter Bastian Kubis |
| author_sort | Malwin Niehus |
| collection | DOAJ |
| description | Abstract We propose a formalism to extract the γπ → ππ chiral anomaly F 3π from calculations in lattice QCD performed at larger-than-physical pion masses. To this end, we start from a dispersive representation of the γ (*) π → ππ amplitude, whose main quark-mass dependence arises from the ππ scattering phase shift and can be derived from chiral perturbation theory via the inverse-amplitude method. With parameters constrained by lattice calculations of the P-wave phase shift, we use this combination of dispersion relations and effective field theory to extrapolate two recent γ (*) π → ππ calculations in lattice QCD to the physical point. Our formalism allows us to extract the radiative coupling of the ρ(770) meson and, for the first time, the chiral anomaly F 3π = 38(16)(11) GeV −3. The result is consistent with the chiral prediction albeit within large uncertainties, which will improve in accordance with progress in future lattice-QCD computations. |
| first_indexed | 2024-12-19T12:54:27Z |
| format | Article |
| id | doaj.art-24381c8c100746abac66fe07518df018 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T12:54:27Z |
| publishDate | 2021-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-24381c8c100746abac66fe07518df0182022-12-21T20:20:25ZengSpringerOpenJournal of High Energy Physics1029-84792021-12-0120211213210.1007/JHEP12(2021)038The γπ → ππ anomaly from lattice QCD and dispersion relationsMalwin Niehus0Martin Hoferichter1Bastian Kubis2Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnAlbert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of BernHelmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnAbstract We propose a formalism to extract the γπ → ππ chiral anomaly F 3π from calculations in lattice QCD performed at larger-than-physical pion masses. To this end, we start from a dispersive representation of the γ (*) π → ππ amplitude, whose main quark-mass dependence arises from the ππ scattering phase shift and can be derived from chiral perturbation theory via the inverse-amplitude method. With parameters constrained by lattice calculations of the P-wave phase shift, we use this combination of dispersion relations and effective field theory to extrapolate two recent γ (*) π → ππ calculations in lattice QCD to the physical point. Our formalism allows us to extract the radiative coupling of the ρ(770) meson and, for the first time, the chiral anomaly F 3π = 38(16)(11) GeV −3. The result is consistent with the chiral prediction albeit within large uncertainties, which will improve in accordance with progress in future lattice-QCD computations.https://doi.org/10.1007/JHEP12(2021)038Chiral LagrangiansEffective Field TheoriesLattice QCDNonperturbative Effects |
| spellingShingle | Malwin Niehus Martin Hoferichter Bastian Kubis The γπ → ππ anomaly from lattice QCD and dispersion relations Journal of High Energy Physics Chiral Lagrangians Effective Field Theories Lattice QCD Nonperturbative Effects |
| title | The γπ → ππ anomaly from lattice QCD and dispersion relations |
| title_full | The γπ → ππ anomaly from lattice QCD and dispersion relations |
| title_fullStr | The γπ → ππ anomaly from lattice QCD and dispersion relations |
| title_full_unstemmed | The γπ → ππ anomaly from lattice QCD and dispersion relations |
| title_short | The γπ → ππ anomaly from lattice QCD and dispersion relations |
| title_sort | γπ ππ anomaly from lattice qcd and dispersion relations |
| topic | Chiral Lagrangians Effective Field Theories Lattice QCD Nonperturbative Effects |
| url | https://doi.org/10.1007/JHEP12(2021)038 |
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