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Generalised Parton Distributions from Lattice Feynman-Hellmann Techniques

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arxiv 2202.03662 v1 pith:LFZY4FRM submitted 2022-02-08 hep-lat hep-phnucl-th

Generalised Parton Distributions from Lattice Feynman-Hellmann Techniques

classification hep-lat hep-phnucl-th
keywords momentsdistributionsfeynman-hellmanngeneralisedlatticeofcapartontechniques
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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