Generalised Parton Distributions from Lattice Feynman-Hellmann Techniques

Alec Hannaford-Gunn; Kadir Utku Can; Roger Horsley; Holder Perlt; Paul Rakow; Gerrit Schierholz; Hinnerk Stüben; Ross Young; James Zanotti

Generalised Parton Distributions from Lattice Feynman-Hellmann Techniques

High Energy Physics - Lattice 2022-02-09 v1 High Energy Physics - Phenomenology Nuclear Theory

Authors: Alec Hannaford-Gunn , Kadir Utku Can , Roger Horsley , Holder Perlt , Paul Rakow , Gerrit Schierholz , Hinnerk Stüben , Ross Young , James Zanotti

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Abstract

We report on the use of Feynman-Hellmann techniques to calculate the off-forward Compton amplitude (OFCA) in lattice QCD. At leading-twist, the Euclidean OFCA is parameterised by the Mellin moments of generalised parton distributions (GPDs). Hence we extract GPD moments for two values of the soft momentum transfer, $t=-1.10, -2.20\;\text{GeV}^2$ and zero-skewness kinematics at an unphysical pion mass of $m_{\pi}\approx 470\;\text{MeV}$ . This includes the first determination of the $n=4$ moments.

Keywords

generalized parton distributions parton distribution functions lattice qcd

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@article{arxiv.2202.03662,
  title  = {Generalised Parton Distributions from Lattice Feynman-Hellmann Techniques},
  author = {Alec Hannaford-Gunn and Kadir Utku Can and Roger Horsley and Holder Perlt and Paul Rakow and Gerrit Schierholz and Hinnerk Stüben and Ross Young and James Zanotti},
  journal= {arXiv preprint arXiv:2202.03662},
  year   = {2022}
}

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9 pages, 3 figures

Generalised Parton Distributions from Lattice Feynman-Hellmann Techniques

Abstract

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