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We consider constraints on the momentum fraction of the $K$ and $K^*$ meson carried by the strange quark that follow from exact operator identities, similar to those for the divergence of the quark part of the QCD energy-momentum tensor.…

高能物理 - 唯象学 · 物理学 2009-11-10 V. M. Braun , A. Lenz

We present the complete formula for the cusp anomalous dimension at four loops in QCD and in maximally supersymmetric Yang-Mills. In the latter theory it is given by \begin{equation} {\Gamma}^{\rm}_{\rm cusp}\Big|_{\alpha_s^4} = -\left(…

高能物理 - 理论 · 物理学 2019-11-25 Johannes M. Henn , Gregory P. Korchemsky , Bernhard Mistlberger

We formulate a consistent 1/N_c^2 expansion of the QCD evolution equations for the twist-three quark distributions g_2(x,Q^2), h_L(x,Q^2) and e(x,Q^2) based on the interpretation of the evolution as a three-particle quantum-mechanical…

高能物理 - 唯象学 · 物理学 2014-11-17 V. M. Braun , G. P. Korchemsky , A. N. Manashov

As a first step towards the complete calculation of deep-inelastic scattering at third order of massless perturbative QCD, we have computed the fermionic (nf) contributions to the flavour non-singlet structure functions in unpolarized…

高能物理 - 唯象学 · 物理学 2009-11-07 J. A. M. Vermaseren , S. Moch , A. Vogt

We study the first sub-leading correction $O((\ln s)^0)$ to the cusp anomalous dimension in the high spin expansion of finite twist operators in ${\cal N}=4$ SYM theory. Since this approximation is still governed by a linear integral…

高能物理 - 理论 · 物理学 2010-10-27 Davide Fioravanti , Paolo Grinza , Marco Rossi

The anomalous dimension of spin-1/2 baryon operators in QCD is derived at leading 1/Nf order using the minimal subtraction scheme. A residual ambiguity, originating from the presence of evanescent operators in dimensional regularization, is…

高能物理 - 唯象学 · 物理学 2018-06-27 Luca Vecchi

We prove a set of identities for the anomalous dimensions of the quark and gluon conformal operators in the flavour singlet channel in QCD. These relations arise from the graded commutator algebra of the N=1 superconformal group. We…

高能物理 - 唯象学 · 物理学 2009-10-31 A. V. Belitsky , D. Muller , A. Schafer

We determine the three loop anomalous dimensions of the quark, centre and off-diagonal gluons, centre and off-diagonal ghosts and the gauge fixing parameters in the maximal abelian gauge for an arbitrary colour group in the MSbar…

高能物理 - 理论 · 物理学 2009-11-11 J. A. Gracey

The anomalous dimensions of four-quark operators $(\bar q_i q_j)_{V-A} (\bar q_k q_l)_{V-A}$ are calculated in the large $N_f$ limit. As expected, the result is a convergent series without renormalon ambiguities. Using the approximation of…

高能物理 - 唯象学 · 物理学 2007-05-23 N. Pott

We show the new relationship [1] between the anomalous dimensions, resummed through next-to-next-to-leading-logarithmic order, in the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations for the first Mellin moments…

高能物理 - 唯象学 · 物理学 2019-10-25 Anatoly Kotikov

The three loop anomalous dimension for the gauge invariant, renormalizable, non-local mass operator for a gluon is computed in the MSbar scheme. In addition the anomalous dimensions of the associated localizing ghost fields are also deduced…

高能物理 - 理论 · 物理学 2009-04-29 F. R. Ford , J. A. Gracey

We present results for the three-loop universal anomalous dimension of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory. These expressions are obtained by extracting the most complicated contributions from the three-loop…

高能物理 - 理论 · 物理学 2007-05-23 A. V. Kotikov , L. N. Lipatov , A. I. Onishchenko , V. N. Velizhanin

We compute the three loop MSbar anomalous dimension for the 3-quark operator corresponding to the proton. This requires the treatment of gamma^5 within dimensional regularization as well as evanescent operators generated through the…

高能物理 - 唯象学 · 物理学 2015-06-11 J. A. Gracey

We discuss the way in which factorisation is partially maintained but nevertheless modified by process-dependent colour factors in hadronic single-spin asymmetries. We also examine QCD evolution of the twist-three gluonic-pole strength…

高能物理 - 唯象学 · 物理学 2009-11-24 Philip G. Ratcliffe , Oleg Teryaev

Two-loop four-gluon N=4 susy amplitudes are evaluated via cutting techniques as a testing ground for QCD. A conjecture for four-point amplitudes to all loop orders is described. We also present a new conjecture for the leading-color part of…

高能物理 - 唯象学 · 物理学 2009-10-30 Z. Bern , J. Rozowsky , B. Yan

We consider two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD. These operators appear also in the Higgs effective theory obtained by integrating out the top quark loop in the gluon fusion…

高能物理 - 唯象学 · 物理学 2021-05-05 Qingjun Jin , Ke Ren , Gang Yang

We calculate the chiral odd quark distributions and the corresponding structure functions $h_T(x,Q^2)$ and $h_L(x,Q^2)$ within the Nambu-Jona-Lasinio chiral soliton model for the nucleon. The $Q^2$ evolution of the twist-2 contributions is…

高能物理 - 唯象学 · 物理学 2016-09-06 L. Gamberg , H. Reinhardt , H. Weigel

We compute the relative-order-v^4 contribution to gluon fragmentation into quarkonium in the 3S1 color-singlet channel, using the nonrelativistic QCD (NRQCD) factorization approach. The QCD fragmentation process contains infrared…

高能物理 - 唯象学 · 物理学 2023-07-25 Geoffrey T. Bodwin , U-Rae Kim , Jungil Lee

We investigate the renormalization of the twist-3 operators which are relevant for the spin-dependent structure function $g_{2}(x, Q^{2})$. We derive the anomalous dimension for the non-singlet part by calculating the off-shell Green's…

高能物理 - 唯象学 · 物理学 2009-10-28 Jiro Kodaira , Yoshiaki Yasui , Kazuhiro Tanaka , Tsuneo Uematsu

We present the result of a calculation for the first even moment of the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD with full color and flavor structures.

高能物理 - 唯象学 · 物理学 2015-06-03 V. N. Velizhanin