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Setting Limits on Supersymmetry Using Simplified Models
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Lattice QCD Study of Transverse-Momentum Dependent Soft Function.

Yuan Li1, Shi-Cheng Xia1, Constantia Alexandrou2,3

  • 1School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China.

Physical Review Letters
|February 25, 2022
PubMed
Summary

We present a lattice QCD calculation of the soft function, crucial for understanding low-transverse-momentum processes like Drell-Yan production. Our results match perturbative predictions at high momentum.

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Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics
  • Hadron Physics

Background:

  • The soft function is a key nonperturbative component in Quantum Chromodynamics (QCD) calculations.
  • Understanding processes with small transverse momentum, such as Drell-Yan production and semi-inclusive deep inelastic scattering, requires accurate soft function determination.
  • Large Momentum Effective Theory (LaMET) provides a framework to study these nonperturbative functions from first principles.

Purpose of the Study:

  • To perform a lattice QCD computation of the intrinsic, rapidity-independent soft function.
  • To determine the nonperturbative soft function from first principles.
  • To calculate the Collins-Soper evolution kernel.

Main Methods:

  • Lattice Quantum Chromodynamics (QCD) simulation using a specific gauge ensemble (Nf=2+1+1 clover-improved twisted mass fermion).
  • Application of renormalization procedures and removal of higher-twist contamination.
  • Utilizing quasi-transverse-momentum-dependent wave functions for kernel calculation.

Main Results:

  • The computed intrinsic soft function is found to be comparable to the one-loop perturbative result at large external momentum.
  • Successful determination of the nonperturbative soft function from first principles.
  • Calculation of the Collins-Soper evolution kernel.

Conclusions:

  • The first-principles determination of the nonperturbative soft function is essential for advancing the understanding of low-transverse-momentum processes.
  • The lattice QCD results provide a crucial benchmark for theoretical calculations in high energy physics.
  • This study contributes to the precise prediction of scattering observables in particle physics.