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Unpolarized Transverse-Momentum-Dependent Parton Distributions of the Nucleon from Lattice QCD

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arxiv 2211.02340 v3 pith:JV2VBLME submitted 2022-11-04 hep-lat hep-ph

Lattice Parton Collaboration: Jin-Chen He , Min-Huan Chu , Jun Hua , Xiangdong Ji , Andreas Schäfer , Yushan Su , Wei Wang , Yibo Yang
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Jian-Hui Zhang Qi-An Zhang
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classification hep-lathep-ph
keywords latticenucleondistributionsfirstmomentumpartonpredictquark
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a first lattice QCD calculation of the unpolarized nucleon's isovector transverse-momentum-dependent parton distribution functions (TMDPDFs), which are essential to predict observables of multi-scale, semi-inclusive processes in the standard model. We use a $N_f=2+1+1$ MILC ensemble with valence clover fermions on a highly improved staggered quark (HISQ) sea to compute the quark momentum distributions in a large-momentum nucleon on the lattice. The state-of-the-art techniques in renormalization and extrapolation in the correlation distance on the lattice are adopted. {The perturbative kernel up to next-to-next-to-leading order is taken into account}, and the dependence on the pion mass and the hadron momentum is explored. Our results are qualitatively comparable with phenomenological TMDPDFs, which provide an opportunity to predict high energy scatterings from first principles.

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Cited by 4 Pith papers

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