The $\pi\pi\to\pi\gamma^\star$ amplitude and the resonant $\rho\to\pi\gamma^\star$ transition from lattice QCD - INSPIRE

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The $\pi\pi\to\pi\gamma^\star$ amplitude and the resonant $\rho\to\pi\gamma^\star$ transition from lattice QCD

Raúl A. Briceño
(
- Jefferson Lab and
- Old Dominion U.
)
,
Jozef J. Dudek
(
- Jefferson Lab and
- Old Dominion U.
)
,
Robert G. Edwards
(
- Jefferson Lab
)
,
Christian J. Shultz
(
- Old Dominion U.
)
,
Christopher E. Thomas
(
- Cambridge U., DAMTP
)

Apr 12, 2016

20 pages

Published in:

Phys.Rev.D 93 (2016) 11, 114508,
Phys.Rev.D 105 (2022) 079902 (erratum)

Published: Jun 10, 2016

e-Print:

1604.03530 [hep-ph]

DOI:

10.1103/PhysRevD.93.114508 (publication),
10.1103/PhysRevD.105.079902 (erratum)

Report number:

JLAB-THY-16-2237,
DAMTP-2016-24

View in:

reference search102 citations

Citations per year

Abstract: (APS)

We present a determination of the P-wave ππ→πγ⋆ transition amplitude from lattice quantum chromodynamics. Matrix elements of the vector current in a finite volume are extracted from three-point correlation functions, and from these we determine the infinite-volume amplitude using a generalization of the Lellouch-Lüscher formalism. We determine the amplitude for a range of discrete values of the ππ energy and virtuality of the photon and observe the expected dynamical enhancement due to the ρ resonance. Describing the energy dependence of the amplitude, we are able to analytically continue into the complex energy plane and from the residue at the ρ pole extract the ρ→πγ⋆ transition form factor. This calculation, at mπ≈400 MeV, is the first to determine the form factor of an unstable hadron within a first principles approach to QCD.

Note:

20 pages, 16 figures, 3 tables

quantum chromodynamics: lattice
pi pi: scattering amplitude
photon: production
photon: off-shell
photon: virtual
rho(770): form factor
form factor: transition
off-shell

References(87)

Figures(17)

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(
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)
,
Raul A. Briceno
(
- Jefferson Lab
)
,
Jozef J. Dudek
(
- Jefferson Lab and
- Old Dominion U.
)
,
Robert G. Edwards
(
- Jefferson Lab
)
,
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(
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)

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(
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)
,
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(
- Jefferson Lab and
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)
,
Robert G. Edwards
(
- Jefferson Lab
)
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(
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)

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