Minimal Subtraction vs. Physical Factorisation Schemes in Small-x QCD
arXiv:hep-ph/0601200 · doi:10.1016/j.physletb.2006.03.014
Abstract
We investigate the relationship of ``physical'' parton densities defined by kt-factorisation, to those in the minimal subtraction scheme, by comparing their small-x behaviour. We first summarize recent results on the above scheme change derived from the BFKL equation at NLx level, and we then propose a simple extension to the renormalisation-group improved (RGI) equation. In this way we are able the examine the difference between resummed gluon distributions in the Q_0 and MSbar schemes and also to show MSbar scheme resummed results for P_gg and approximate ones for P_qg. We find that, due to the stability of the RGI approach, small-x resummation effects are not much affected by the scheme-change in the gluon channel, while they are relatively more sensitive for the quark-gluon mixing.
14 pages, 8 figures
References in corpus (37)
- The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
- BFKL pomeron in the next-to-leading approximation
- The Three-Loop Splitting Functions in QCD: The Singlet Case
- Energy Scale(s) and Next-to-leading BFKL Equation
- Global QCD Analysis and the CTEQ Parton Distributions
- High-Energy Factorization and Small-X Deep Inelastic Scattering Beyond Leading Order
- NNLO global parton analysis
- A resummation of large sub-leading corrections at small x
- Renormalization Group Improved Small-x Equation
- Renormalisation group improved small-x Green's function
- Next-to-leading Corrections to the BFKL Equation From the Gluon and Quark Production
- Gluon Regge Trajectory in the two-loop Approximation
- The BFKL Equation at Next-to-Leading Order and Beyond
- Factorization and Resummation of Small x Scaling Violations with Running Coupling
- An anomalous dimension for small x evolution
- Irreducible part of the next-to-leading BFKL kernel
- Perturbatively Stable Resummed Small x Evolution Kernels
- Resummation of Singlet Parton Evolution at Small x
- Quark contribution to the reggeon-reggeon-gluon vertex in QCD
- Non Abelian contributions to small- anomalous dimensions
- Quark-antiquark contribution to the BFKL kernel
- k-Factorization and Small-x Anomalous Dimensions
- Radiative corrections to quark-quark-reggeon vertex in QCD
- The Running Coupling BFKL Anomalous Dimensions and Splitting Functions
- On factorisation at small x
- Small-x Resummation and HERA Structure Function Data
- Extending QCD perturbation theory to higher energies
- Real next-to-leading corrections to the multigluon amplitudes in the helicity formalism
- Rapidity veto effects in the NLO BFKL equation
- Rapidity-Separation Dependence and the Large Next-to-Leading Corrections to the BFKL Equation
- Kt-Factorization vs. Renormalization Group: A small-x Consistency Argument
- Explicit Calculation Of the Running Coupling BFKL Anomalous Dimension
- Quark-antiquark contribution to the multigluon amplitudes in the helicity formalism
- Dimensional Regularisation and Factorisation Schemes in the BFKL Equation at Subleading Leve
- All Order Running Coupling BFKL Evolution from GLAP (and vice-versa)
- Gluon Pair Production in the Quasi-Multi-Regge Kinematics
- Status of the BFKL Resummation Program
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