Massive Quarks at One Loop in the Dipole Picture of Deep Inelastic Scattering,Physical Review Letters

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Massive Quarks at One Loop in the Dipole Picture of Deep Inelastic Scattering
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-08-12 , DOI: 10.1103/physrevlett.129.072001
G Beuf ₁ , T Lappi _{2,

3} , R Paatelainen _{3,

4}

Affiliation

We calculate the light cone wave functions for a virtual photon to split into quark-antiquark states, including for the first time quark masses at one loop accuracy. These wave functions can be used to calculate cross sections for several precision probes of perturbative gluon saturation at the Electron-Ion Collider. Using these wave functions we derive, for the first time, the dipole picture deep inelastic scattering cross sections at one loop for longitudinal and transverse virtual photons including quark masses. The quark masses are renormalized in the pole mass scheme, satisfying constraints from the requirement of Lorentz invariance of the quark Dirac and Pauli form factors.

中文翻译：

深非弹性散射偶极子图中单环处的大量夸克

我们计算了虚拟光子分裂成夸克-反夸克状态的光锥波函数，包括第一次以一个循环精度的夸克质量。这些波函数可用于计算电子-离子对撞机上的几个微扰胶子饱和度精密探针的横截面。使用这些波函数，我们第一次推导出了纵向和横向虚光子（包括夸克质量）在一个环路上的偶极子图像深层非弹性散射截面。夸克质量在极质量方案中被重新归一化，满足了夸克狄拉克和泡利形状因子的洛伦兹不变性要求的约束。

更新日期：2022-08-12

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