Rapidity

Physics

Renormalization

Resummation

Mathematics

Particle physics

Quantum chromodynamics

Inelastic scattering

Acoustics

Scattering

Hadron

Geometry

Twist

Lattice (music)

Quantum electrodynamics

Quantum mechanics

Deep inelastic scattering

Momentum transfer

Physical Review Letters

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.

Lattice QCD Study of Transverse-Momentum Dependent Soft Function