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Collins-Soper kernel from transverse momentum-dependent wave functions in LaMET


  • 旻寰 楚


In this work we present the transversity $b_{\perp}$-dependence Collins-Soper kernel extracted from pion transverse momentum dependent wave functions in the framework of large momentum effective theory from lattice QCD. We use clover fermion action with $2 + 1 + 1$ flavors of highly improved staggered quarks (HISQ), generated by MILC Collaboration. A single ensemble is used, with lattice spacing $a=0.12$fm and volume as $L^3\times T=48^3\times64$. The results are presented based on pion mass $M_{\pi}=670$MeV, and three hadron momenta as $P^z = 2\pi/L\times{8, 10, 12} = {1.72, 2.15, 2.58}$GeV. The result of Collins-Soper kernel is determined of joint fit through momentum pairs.