### Abstract

Lattice QCD calculations of radiative transitions between hadrons have in the past been limited to processes of hadrons stable under the strong interaction. Recently developed methods for 1 → 2 transition matrix elements in a finite volume now enable the determination of radiative decay rates of strongly unstable particles. Our lattice QCD study focuses on the process ππ → πγ∗, where the ρ meson is present as an enhancement in the cross-section. We use 2+1 flavors of clover fermions at a pion mass of approximately 320 MeV and a lattice size of approximately 3.6 fm. The required 2-point and 3-point correlation functions are constructed from a set of forward, sequential and stochastic light quark propagators. In addition to determining the ρ meson resonance parameters via the Lüscher method, the scattering phase shift is used in conjunction with the 1 → 2 transition matrix element formalism of Briceño, Hansen and Walker-Loud [1] to compute the ππ → πγ∗ amplitude at several values of the momentum transfer and pp invariant mass.

Original language | English (US) |
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Journal | Proceedings of Science |

Volume | Part F128557 |

State | Published - Jan 1 2016 |

Event | 34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 - Southampton, United Kingdom Duration: Jul 24 2016 → Jul 30 2016 |

### ASJC Scopus subject areas

- General

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## Cite this

*Proceedings of Science*,

*Part F128557*.