activity
19982025
most citedIntegrability of three-particle evolution equations in QCD

222 citations · 507 across the 15 of their papers we have counts for

collaborators

19 papers

hep-ph2025

Conformal moments of the two-loop coefficient functions in DVCS

V. M. Braun, P. Gotzler, A. N. Manashov

We develop a new technique and calculate conformal (Gegenbauer) moments of the two-loop coefficient functions in Deeply Virtual Compton Scattering (DVCS). These results are necessa…

hep-ph2025

The and form factors to NNLO accuracy in perturbative QCD

V. M. Braun, K. G. Chetyrkin, A. N. Manashov

We use conformal symmetry to calculate the NNLO anomalous dimension matrix (three loops) for flavor-singlet axial-vector QCD operators for spin from a set of gauge-invari…

hep-ph2025

Kinematic power corrections to DVCS to twist-six accuracy

V. M. Braun, Yao Ji, A. N. Manashov

We calculate and power corrections with , where is the target mass and is the momentum transfer, to several key observables in Deeply V…

hep-ph2024

The two-loop coefficient functions for double deeply virtual Compton scattering

Vladimir M. Braun, Hua-Yu Jiang, Alexander N. Manashov +1

Making use of conformal symmetry of large- QCD in dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator produc…

hep-ph2021★ 4 cited

Operator product expansion for the non-local gluon condensate

V. M. Braun, K. G. Chetyrkin, B. A. Kniehl

We consider the short-distance expansion of the product of two gluon field strength tensors connected by a straight-line-ordered Wilson line. The vacuum expectation value of this n…

hep-ph2021★ 8 cited

Three-loop off-forward evolution kernel for axial-vector operators in Larin's scheme

V. M. Braun, A. N. Manashov, S. Moch +1

Evolution equations for leading twist operators in high orders of perturbation theory can be restored from the spectrum of anomalous dimensions and the calculation of the special c…

hep-ph2020

Two-photon processes in conformal QCD: Resummation of the descendants of leading-twist operators

V. M. Braun, Yao Ji, A. N. Manashov

Using some techniques of conformal field theories, we find a closed expression for the contribution of leading twist operators and their descendants, obtained by adding total deriv…

hep-ph2020★ 28 cited

Two-loop coefficient function for DVCS: Vector contributions

V. M. Braun, A. N. Manashov, S. Moch +1

Using the approach based on conformal symmetry we calculate the two-loop coefficient function for the vector flavor-nonsinglet contribution to deeply-virtual Compton scattering (DV…

hep-ph2020★ 42 cited

Renormalization of parton quasi-distributions beyond the leading order: spacelike vs. timelike

V. M. Braun, K. G. Chetyrkin, B. A. Kniehl

We argue that the renormalization factors for nonlocal quark-antiquark and gluon operators at space-like and time-like separations connected by a Wilson line coincide to all orders…

hep-ph2019★ 12 cited

Two-loop evolution equations for flavor-singlet light-ray operators

V. M. Braun, A. N. Manashov, S. Moch +1

QCD in non-integer space-time dimensions enjoys conformal invariance at the special fine-tuned value of the coupling. Counterterms for composite operators in minimal subtr…

hep-ph2016★ 37 cited

Two-loop conformal generators for leading-twist operators in QCD

V. M. Braun, A. N. Manashov, S. Moch +1

QCD evolution equations in minimal subtraction schemes have a hidden symmetry: One can construct three operators that commute with the evolution kernel and form an algebra,…

hep-ph2015★ 19 cited

Evolution equation for the higher-twist B-meson distribution amplitude

V. M. Braun, A. N. Manashov, N. Offen

We find that the evolution equation for the three-particle quark-gluon B-meson light-cone distribution amplitude (DA) of subleading twist is completely integrable in the large $N_c…

hep-ph2014

QCD evolution equations from conformal symmetry

V. M. Braun, A. N. Manashov

QCD evolution equations in -like schemes can be recovered from the same equations in a modified theory, QCD in non-integer dimensions, which enjoys exact scale…

hep-ph2014

Resolving kinematic ambiguities in QCD predictions for Deeply Virtual Compton Scattering

V. M. Braun, A. N. Manashov, D. Mueller +1

The existing QCD predictions for the Deeply Virtual Compton Scattering (DVCS) depend on the convention used for the skewedness parameter and on the reference frame used to define h…

hep-ph2014★ 24 cited

Integrability of the evolution equations for heavy-light baryon distribution amplitudes

V. M. Braun, S. E. Derkachov, A. N. Manashov

We consider evolution equations describing the scale dependence of the wave function of a baryon containing an infinitely heavy quark and a pair of light quarks at small transverse…

hep-ph2014★ 20 cited

Two-loop evolution equations for light-ray operators

V. M. Braun, A. N. Manashov

QCD in non-integer d=4-2 epsilon space-time dimensions possesses a nontrivial critical point and enjoys exact scale and conformal invariance. This symmetry imposes nontrivial restr…

hep-ph2014★ 40 cited

Conformal symmetry of the Lange-Neubert evolution equation

V. M. Braun, A. N. Manashov

The Lange-Neubert evolution equation describes the scale dependence of the wave function of a meson built of an infinitely heavy quark and light antiquark at light-like separations…

hep-ph2011★ 51 cited

Kinematic power corrections in off-forward hard reactions

V. M. Braun, A. N. Manashov

We develop a general approach to the calculation of kinematic corrections ~t/Q^2, ~m^2/Q^2 in hard processes which involve momentum transfer from the initial to the final hadron st…

hep-ph1998★ 222 cited

Integrability of three-particle evolution equations in QCD

V. M. Braun, S. E. Derkachov, A. N. Manashov

We show that Brodsky-Lepage evolution equation for the leading twist spin 3/2 baryon distribution amplitude is completely integrable and reduces to the three-particle XXX_{s=-1} He…