Renormalization of Twist-Four Operators in QCD

Abstract

Extending the work by Bukhvostov, Frolov, Lipatov and Kuraev (BFLK) on the renormalization of quasipartonic operators we derive a complete set of two-particle renormalization group kernels that enter QCD evolution equations to twist-four accuracy. It is shown that the 2->2 evolution kernels which involve ``non-partonic'' components of field operators, and, most remarkably, also 2->3 kernels do not require independent calculation and can be restored from the known results for quasipartonic operators using conformal symmetry and Lorentz transformations. The kernels are presented for the renormalization of light-ray operators built of chiral fields in a particular basis such that the conformal symmetry is manifest. The results can easily be recast in momentum space, in the form of evolution equations for generalized parton distributions.

64 pages

References in corpus (11)

• Twist-3 Formalism for Single Transverse Spin Asymmetry Reexamined: Semi-Inclusive Deep Inelastic Scattering
• Twist-4 Distribution Amplitudes of the K${}^{\ast }$ and $\varphi$ Mesons in QCD
• Evolution of twist-3 multi-parton correlation functions relevant to single transverse-spin asymmetry
• Next-to-leading Order Calculation of the Single Transverse Spin Asymmetry in the Drell-Yan Process
• Impact of CLAS and COMPASS data on Polarized Parton Densities and Higher Twist
• Universal Structure of Twist-3 Soft-Gluon-Pole Cross Sections for Single Transverse-Spin Asymmetry
• Baryon Operators of Higher Twist in QCD and Nucleon Distribution Amplitudes
• Higher Twist Contributions to the Structure Functions F_2^p(x,Q^2) and F_2^d(x,Q^2) at Large x and Higher Orders
• Update of the global fit of PDFs including the low-Q DIS data
• Status of Longitudinal Polarized Parton Densities and Higher Twist
• Accessing tri-gluon correlations in the nucleon via the single spin asymmetry in open charm production

Cited by in corpus (38)

• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Parton distribution functions and benchmark cross sections at NNLO
• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• CT14 Intrinsic Charm Parton Distribution Functions from CTEQ-TEA Global Analysis
• Higher-twist B-meson Distribution Amplitudes in HQET
• Operator product expansion in QCD in off-forward kinematics: Separation of kinematic and dynamical contributions
• Sivers and Boer-Mulders functions in Light-Cone Quark Models
• Deeply Virtual Compton Scattering to the twist-four accuracy: Impact of finite-$t$ and target mass corrections
• Double hard scattering without double counting
• Finite-t and target mass corrections to deeply virtual Compton scattering
• Spinning Gluons from the QCD Light-Ray OPE
• Finite-t and target mass corrections to DVCS on a scalar target
• Kinematic power corrections in off-forward hard reactions
• Naive time-reversal odd phenomena in semi-inclusive deep-inelastic scattering from light-cone constituent quark models
• Next-to-Leading QCD Factorization for Semi-Inclusive Deep Inelastic Scattering at Twist-4
• Transverse momentum dependent operator expansion at next-to-leading power
• Evolution equations beyond one loop from conformal symmetry
• Transverse momentum in double parton scattering: factorisation, evolution and matching
• Twist decomposition of Drell-Yan structure functions: phenomenological implications
• From Scattering Amplitudes to the Dilatation Generator in N=4 SYM
• Review of AdS/CFT Integrability, Chapter IV.4: Integrability in QCD and N<4 SYM
• Next-to-leading-power kinematic corrections to DVCS: a scalar target
• Renormalisation of heavy-light light ray operators
• Definition and evolution of transverse momentum dependent distribution of twist-three
• Renormalization of twist-four operators in light-cone gauge
• Integrability in heavy quark effective theory
• Transverse momentum moments
• Sivers, Boer-Mulders and worm-gear distributions at next-to-leading order
• Evidence of quasi-partonic higher-twist effects in deep inelastic scattering at HERA at moderate $Q^2$
• Higher twist nucleon distribution amplitudes in Wandzura-Wilczek approximation
• Kinematical higher-twist corrections in ${\gamma }^{\ast }\to M_1{M}_2\gamma$: Neutral meson production
• Higher Twists
• Finite-t and target mass corrections in off-forward hard reactions
• Higher Twist in Electroproduction: Flavor Non-Singlet QCD Evolution
• Perturbative Corrections to Quark TMDPDFs in the Background-Field Method: Gauge Invariance, Equations of Motion, and Multiple Interactions
• The QCD Coupling and Parton Distributions at High Precision
• Conformal moments of the two-loop coefficient functions in DVCS
• Light-cone sum rule approach for Baryon form factors