Exact q qbar g contribution to diffractive DIS structure functions in the dipole model shows prior high-Q2 and high-MX2 approximations are inadequate and that soft quark terms are comparably important at high Q2.
Improving the kinematics for low-x QCD evolution equations in coordinate space
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abstract
High-energy evolution equations, such as the BFKL, BK or JIMWLK equations, aim at resumming the high-energy (next-to-)leading logarithms appearing in QCD perturbative series. However, the standard derivations of those equations are performed in a strict high-energy limit, whereas such equations are then applied to scattering processes at large but finite energies. For that reason, there is typically a slight mismatch between the leading logs resummed by those evolution equations without finite-energy corrections and the leading logs actually present in the perturbative expansion of any observable. That mismatch is one of the sources of large corrections at NLO and NLL accuracy. In the case of the BFKL equation in momentum space, that problem is solved by including a kinematical constraint in the kernel, which is the most important finite-energy correction. In this paper, such an improvement of kinematics is performed in mixed-space (transverse positions and $k^+$) and with a factorization scheme in the light-cone momentum $k^+$ (in a frame in which the projectile is right-moving and the target left-moving). This is the usual choice of variables and factorization scheme for the the BK equation. A kinematically improved version of the BK equation is provided, consistent at finite energies. The results presented here are also a necessary step towards having the high energy limit of QCD (including gluon saturation) quantitatively under control beyond strict leading logarithmic accuracy.
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After Q_s-adaptive coarse graining, conditional gluon Husimi momentum distributions from fixed-coupling SO(3)-BK evolution collapse as functions of k/Q_s(Y,b), with conditional entropy growing at unit slope versus ⟨ln Q_s²⟩.
A Bayesian global fit at full NLO+NLL accuracy extracts the posterior distribution for the non-perturbative initial condition of the NLO Balitsky-Kovchegov equation from HERA inclusive and charm data.
Collinearly improved IMST BK evolution moves the elliptic node and reshapes the rapidity and hard-scale dependence of coherent diffractive dijet ⟨cos2φ⟩ relative to LO BK, not just a normalization shift.
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Diffractive deep inelastic scattering in the dipole picture: the $q\bar{q}g$ contribution in exact kinematics
Exact q qbar g contribution to diffractive DIS structure functions in the dipole model shows prior high-Q2 and high-MX2 approximations are inadequate and that soft quark terms are comparably important at high Q2.
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Emergent Local Phase-Space Scaling in Small-x Gluon Evolution
After Q_s-adaptive coarse graining, conditional gluon Husimi momentum distributions from fixed-coupling SO(3)-BK evolution collapse as functions of k/Q_s(Y,b), with conditional entropy growing at unit slope versus ⟨ln Q_s²⟩.
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Confronting Color Glass Condensate at next-to-leading order with HERA data
A Bayesian global fit at full NLO+NLL accuracy extracts the posterior distribution for the non-perturbative initial condition of the NLO Balitsky-Kovchegov equation from HERA inclusive and charm data.
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Collinearly Improved Balitsky-Kovchegov Evolution of the Gluon Wigner Distribution
Collinearly improved IMST BK evolution moves the elliptic node and reshapes the rapidity and hard-scale dependence of coherent diffractive dijet ⟨cos2φ⟩ relative to LO BK, not just a normalization shift.