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Lattice QCD Study of Transverse-Momentum Dependent Soft Function

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arxiv 2106.13027 v2 pith:J6YZWC6N submitted 2021-06-24 hep-lat hep-ph

Lattice QCD Study of Transverse-Momentum Dependent Soft Function

Yuan Li , Shi-Cheng Xia , Constantia Alexandrou , Krzysztof Cichy , Martha Constantinou , Xu Feng , Kyriakos Hadjiyiannakou , Karl Jansen
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Chuan Liu Aurora Scapellato Fernanda Steffens Jacopo Tarello
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classification hep-lat hep-ph
keywords functionsoftmomentumintrinsiclargelatticeadditionallyapplying
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work, we perform a lattice QCD study of the intrinsic, rapidity-independent soft function within the framework of large momentum effective theory. The computation is carried out using a gauge ensemble of $N_f=2+1+1$ clover-improved twisted mass fermion. After applying an appropriate renormalization procedure and the removal of significant higher-twist contamination, we obtain the intrinsic soft function that is comparable to the one-loop perturbative result at large external momentum. The determination of the nonperturbative soft function from first principles is crucial to sharpen our understanding of the processes with small transverse momentum such as the Drell-Yan production and the semi-inclusive deep inelastic scattering. Additionally, we calculate the Collins-Soper evolution kernel using the quasi-transverse-momentum-dependent wave function as input.

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Cited by 2 Pith papers

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  1. The Collins-Soper kernel from a vacuum soft function

    hep-lat 2026-06 unverdicted novelty 7.0

    The Collins-Soper kernel is extracted from lattice computations of a vacuum soft function, showing rapidity dependence consistent with Collins-Soper evolution, comparable errors to hadronic methods, and saturation at ...

  2. Energy Correlators Resolving Proton Spin

    hep-ph 2025-09 unverdicted novelty 5.0

    The work establishes a correspondence between spin-dependent energy correlators and polarized TMDs/NECs using SCET, yielding N3LL/N2LL predictions for correlation patterns in current and target fragmentation regions.