Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass

التفاصيل البيبلوغرافية
العنوان: Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
المؤلفون: Baker, Ethan, Bollweg, Dennis, Boyle, Peter, Cloët, Ian, Gao, Xiang, Mukherjee, Swagato, Petreczky, Peter, Zhang, Rui, Zhao, Yong
المصدر: JHEP07(2024)211
سنة النشر: 2024
المجموعة: High Energy Physics - Lattice
مصطلحات موضوعية: High Energy Physics - Lattice
الوصف: We present a direct lattice QCD calculation of the $x$-dependence of the pion distribution amplitude (DA), which is performed using the quasi-DA in large momentum effective theory on a domain-wall fermion ensemble at physical quark masses and spacing $a\approx 0.084$ fm. The bare quais-DA matrix elements are renormalized in the hybrid scheme and matched to $\overline{\rm MS}$ with a subtraction of the leading renormalon in the Wilson-line mass. For the first time, we include threshold resummation in the perturbative matching onto the light-cone DA, which resums the large logarithms in the soft gluon limit at next-to-next-to-leading log. The resummed results show controlled scale-variation uncertainty within the range of momentum fraction $x\in[0.25,0.75]$ at the largest pion momentum $P_z\approx 1.85$~GeV. In addition, we apply the same analysis to quasi-DAs from a highly-improved-staggered-quark ensemble at physical pion mass and $a=0.076$ fm. By comparison we find with $2\sigma$ confidence level that the DA obtained from chiral fermions is flatter and lower near $x=0.5$.
Comment: update to match the version published in journal
نوع الوثيقة: Working Paper
DOI: 10.1007/JHEP07(2024)211
URL الوصول: http://arxiv.org/abs/2405.20120
رقم الأكسشن: edsarx.2405.20120
قاعدة البيانات: arXiv