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Type: Journal article
Title: Generalized parton distributions from the off-forward Compton amplitude in lattice QCD
Author: Hannaford-Gunn, A.
Can, K.U.
Horsley, R.
Nakamura, Y.
Perlt, H.
Rakow, P.E.L.
Schierholz, G.
Stüben, H.
Young, R.D.
Zanotti, J.M.
Citation: Physical Review D, 2022; 105(1):014502-1-014502-19
Publisher: American Physical Society
Issue Date: 2022
ISSN: 2470-0010
Statement of
A. Hannaford-Gunn, K.U. Can, R. Horsley, Y. Nakamura, H. Perlt, P.E.L. Rakow, G. Schierholz, H. Stüben, R.D. Young and J.M. Zanotti
Abstract: We determine the properties of generalized parton distributions (GPDs) from a lattice QCD calculation of the off-forward Compton amplitude (OFCA). By extending the Feynman-Hellmann relation to second-order matrix elements at off-forward kinematics, this amplitude can be calculated from lattice propagators computed in the presence of a background field. Using an operator product expansion, we show that the deeply virtual part of the OFCA can be parametrized in terms of the low-order Mellin moments of the GPDs. We apply this formalism to a numerical investigation for zero-skewness kinematics at two values of the soft momentum transfer, t=−1.1,−2.2  GeV², and a pion mass of m(π)≈470  MeV. The form factors of the lowest two moments of the nucleon GPDs are determined, including the first lattice QCD determination of the n=4 moments. Hence we demonstrate the viability of this method to calculate the OFCA from first principles, and thereby provide novel constraint on the x- and t-dependence of GPDs.
Rights: Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.
DOI: 10.1103/physrevd.105.014502
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Appears in Collections:Physics publications

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