Niehus, Malwin; Hoferichter, Martin; Kubis, Bastian (2021). The γπ → ππ anomaly from lattice QCD and dispersion relations. Journal of High Energy Physics, 2021(12) Springer 10.1007/JHEP12(2021)038
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We propose a formalism to extract the γπ → ππ chiral anomaly F3π 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 quarkmass 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 F3π = 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.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Institute of Theoretical Physics 10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) |
UniBE Contributor: |
Hoferichter, Martin |
Subjects: |
500 Science > 530 Physics |
ISSN: |
1029-8479 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Binia Marti |
Date Deposited: |
23 Mar 2022 13:38 |
Last Modified: |
05 Dec 2022 16:14 |
Publisher DOI: |
10.1007/JHEP12(2021)038 |
ArXiv ID: |
2110.11372 |
BORIS DOI: |
10.48350/167247 |
URI: |
https://boris.unibe.ch/id/eprint/167247 |
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