Calculating the ρ radiative decay width with lattice QCD

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

Calculating the ρ radiative decay width with lattice QCD

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

Physics

Research output: Contribution to journal › Conference article › peer-review

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 q². To fit the q² 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)
Article number	065
Journal	Proceedings of Science
Volume	334
State	Published - 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

Cite this

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title = "Calculating the ρ radiative decay width with lattice QCD",

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 Nf = 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 q2. To fit the q2 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.",

author = "Luka Leskovec and Constantia Alexandrou and Stefan Meinel and Negele, {John W.} and Srijit Paul and Marcus Petschlies and Andrew Pochinsky and Gumaro Rendon and Sergey Syritsyn",

note = "Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons.; 36th Annual International Symposium on Lattice Field Theory, LATTICE 2018 ; Conference date: 22-07-2018 Through 28-07-2018",

year = "2018",

language = "English (US)",

volume = "334",

journal = "Proceedings of Science",

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TY - JOUR

T1 - Calculating the ρ radiative decay width with lattice QCD

AU - Leskovec, Luka

AU - Alexandrou, Constantia

AU - Meinel, Stefan

AU - Negele, John W.

AU - Paul, Srijit

AU - Petschlies, Marcus

AU - Pochinsky, Andrew

AU - Rendon, Gumaro

AU - Syritsyn, Sergey

PY - 2018

Y1 - 2018

N2 - 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 Nf = 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 q2. To fit the q2 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.

AB - 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 Nf = 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 q2. To fit the q2 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.

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M3 - Conference article

AN - SCOPUS:85069961454

SN - 1824-8039

VL - 334

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 065

T2 - 36th Annual International Symposium on Lattice Field Theory, LATTICE 2018

Y2 - 22 July 2018 through 28 July 2018

ER -

Calculating the ρ radiative decay width with lattice QCD

Abstract

ASJC Scopus subject areas

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