From the 1 of 13 linked papers with an AI index.
13 papers
RI/SMOM renormalization for lattice QCD: bilinear and three-quark operators
Bernd A. Kniehl, Oleg L. Veretin
The paper reviews how to convert lattice QCD operator results from the RI/SMOM scheme to the MS scheme, providing three‑loop conversion factors for quark bilinears and two‑ and thr…
Numerical analytical continuation of multivariate hypergeometric functions
M. A. Bezuglov, B. A. Kniehl, A. I. Onishchenko +1
We present a general framework for the high-precision numerical evaluation of multivariate hypergeometric functions defined as solutions of holonomic systems of partial differentia…
Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part
B. A. Kniehl, V. N. Velizhanin
Both for quark flavor asymmetry and valence, we consider the anomalous dimension of the non-singlet twist-two quark operator of arbitrary Lorentz spin N at four loops in SU(nc) col…
Four-Loop Gluon Anomalous Dimension of General Lorentz Spin: Transcendental Part
B. A. Kniehl, S. -O. Moch, V. N. Velizhanin +1
We consider the anomalous dimension of the twist-two gluon operator of arbitrary Lorentz spin in the quark flavor singlet sector of a general gauge theory at…
Renormalization of three-quark operators with up to two derivatives at three loops
B. A. Kniehl, Kniehl B. A., O. L. Veretin +1
We study in QCD the renormalization of three-quark operators with up to two covariant derivatives, which are related to Mellin moments of baryoni…
Relativistic corrections to gluon fragmentation into the states
Zhi-Guo He, Bernd A. Kniehl, Peng Zhang
We compute relativistic corrections to the gluon fragmentation functions to Fock states of heavy quarkonium within non-relativistic QCD factorization framework. W…