π γ → π π transition and the ρ radiative decay width from lattice QCD

Alexandrou, Constantia; Leskovec, Luka; Meinel, Stefan; Negele, John; Paul, Srijit; Petschlies, Marcus; Pochinsky, Andrew; Rendon, Gumaro; Syritsyn, Sergey

doi:10.1103/PhysRevD.98.074502

Title: $π γ \to π π$ transition and the $ρ$ radiative decay width from lattice QCD

Journal Article · Tue Oct 02 00:00:00 EDT 2018 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.98.074502· OSTI ID:1475232

Alexandrou, Constantia; Leskovec, Luka; Meinel, Stefan; Negele, John; Paul, Srijit; Petschlies, Marcus; Pochinsky, Andrew; Rendon, Gumaro; Syritsyn, Sergey

In this paper, we report a lattice QCD determination of the πγ → ππ transition amplitude for the P-wave, I = 1 two-pion final state, as a function of the photon virtuality and ππ invariant mass. The calculation was performed with 2 + 1 flavors of clover fermions at a pion mass of approximately 320 MeV, on a 32³ × 96 lattice with L ≈ 3.6 fm. We construct the necessary correlation functions using a combination of smeared forward, sequential and stochastic propagators, and determine the finite-volume matrix elements for all ππ momenta up to |$$\vec{P}$$| = √3$$2π\atop{L}$$ and all associated irreducible representations. In the mapping of the finite-volume to infinite-volume matrix elements using the Lellouch-Lüscher factor, we consider two different parametrizations of the ππ scattering phase shift. Additionally, we fit the q² and s dependence of the infinite-volume transition amplitude in a model-independent way using series expansions, and compare multiple different truncations of this series. Through analytic continuation to the ρ resonance pole, we also determine the πγ → ρ resonant transition form factor and the ρ meson photocoupling, and obtain |G_ρπγ| = 0.0802(32)(20).

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0009913; SC0011090; FC02-06ER41444; AC02-05CH11231; ACI-1053575; PHY-1520996; 642069

OSTI ID:: 1475232

Alternate ID(s):: OSTI ID: 1544193

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 98 Journal Issue: 7; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 30 works

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