2022 Meeting on Lattice Parton Physics from Large Momentum Effective Theory (LaMET2022)

TMD wave functions and Soft functions at one-loop in LaMET

Dec 3, 2022, 9:00 AM

25m

Zoom

Session I

Speaker

Jun Zeng (Shanghai Jiao Tong University)

Description

In large-momentum effective theory (LaMET), the transverse-momentum-dependent (TMD) light-front wave functions and soft functions can be extracted from the simulation of a four-quark form factor and equal-time correlation functions. In this work, using expansion by regions we provide a one-loop proof of TMD factorization of the form factor. For the one-loop validation, we also present a detailed calculation of $\mathcal{O}({\alpha }_s)$ perturbative corrections to these quantities, in which we adopt a modern technique for the calculation of TMD form factor based on the integration by part and differential equation. The one-loop hard functions are then extracted. Using lattice data from Lattice Parton Collaboration on quasi-TMDWFs, we estimate the effects from the one-loop matching kernel and find that the perturbative corrections depend on the operator to define the form factor, but are less sensitive to the transverse separation. These results will be helpful to precisely extract the soft functions and TMD wave functions from the first principle in the future.

Presentation materials

JunZeng_LaMET2022v2.pdf