Massive quarks at one loop in the dipole picture of Deep Inelastic Scattering

Abstract

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 DIS 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.

arXiv comment10 pages, 7 figures. v2: references added/updated, typos fixed

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Cited by in corpus (18)

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• DIS dijet production at next-to-eikonal accuracy in the CGC
• Single Inclusive Hadron Production in DIS at Small $x$: Next to Leading Order Corrections
• Proton structure functions at NLO in the dipole picture with massive quarks
• Diffractive deep inelastic scattering at NLO in the dipole picture: the $q\bar{q}g$ contribution
• Dihadron production in DIS at NLO: the real corrections
• Inferring the initial condition for the Balitsky-Kovchegov equation
• High-energy dipole scattering amplitude from evolution of low-energy proton light-cone wave functions
• Complete Next-to-Leading Order Calculation of Single Inclusive ${\pi }^0$ Production in Forward Proton-Nucleus Collisions
• Initial condition for the Balitsky-Kovchegov equation at next-to-leading order
• Complete calculation of exclusive heavy vector meson production at next-to-leading order in the dipole picture
• Impact-parameter-dependent solutions to the Balitsky-Kovchegov equation at next-to-leading order
• Parton model contributions as next-to-eikonal corrections to the dipole factorization of DIS and SIDIS at low $x_{Bj}$
• Determination of the initial condition for the Balitsky-Kovchegov equation with transformers
• A numerical implementation of the NLO DIS structure functions in the dipole picture
• Diffractive deep inelastic scattering in the dipole picture: the $q\bar{q}g$ contribution in exact kinematics
• Dijet photoproduction at low $x$ at next-to-leading order and its back-to-back limit
• Reconstruction of the Dipole Amplitude in the Dipole Picture as a mathematical Inverse Problem