### Abstract

We present the results of our lattice QCD study of the πγ → ππ process, where the ρ resonance appears as an enhancement in the transition amplitude. We use N_{f} = 2 + 1 clover fermions on a lattice of L = 3.6 fm and a pion mass of 320 MeV. Using a combination of forward, stochastic, and sequential propagators, we calculate the two-point and three-point functions that allow us to determine the πγ → ππ matrix elements for several values of the invariant mass s and momentum transfer q^{2}. To fit the q^{2} and s dependence of the πγ → ππ amplitude, we explore a set of general parametrizations based on a Taylor expansion. By analytic continuation to the complex pole corresponding to the ρ resonance, we determine the resonant form factors and calculate the radiative decay width of the ρ.

Original language | English (US) |
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Article number | 065 |

Journal | Proceedings of Science |

Volume | 334 |

State | Published - Jan 1 2018 |

Event | 36th Annual International Symposium on Lattice Field Theory, LATTICE 2018 - East Lansing, United States Duration: Jul 22 2018 → Jul 28 2018 |

### ASJC Scopus subject areas

- General

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## Cite this

*Proceedings of Science*,

*334*, [065].