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We construct the evolution equations for the twist-3 chiral-odd spin independent fracture functions in QCD. The Gribov-Lipatov reciprocity relation is fulfilled at the one-loop level for the quasi-partonic two-particle cut vertices only. It…

高能物理 - 唯象学 · 物理学 2009-10-30 A. V. Belitsky , E. A. Kuraev

We present the result of a full direct component calculation for the non-planar contribution to the four-loop anomalous dimension of the Konishi operator in N =4 Supersymmetric Yang-Mills theory. The result contains only zeta(5) term and is…

高能物理 - 理论 · 物理学 2009-12-10 V. N. Velizhanin

The result for the six-loop anomalous dimension of twist-three operators in the planar N=4 SYM theory is presented. The calculations were performed along the paper arXiv:0912.1624. This result provides a new data for testing the proposed…

高能物理 - 理论 · 物理学 2010-12-09 V. N. Velizhanin

We have computed the first 30 even-N moments for the double fermionic (nf^2) part of the quark-to-gluon splitting function P_{gq} at the fourth order of perturbative QCD via the renormalization of off-shell operator matrix elements. From…

高能物理 - 唯象学 · 物理学 2023-10-06 G. Falcioni , F. Herzog , S. Moch , J. Vermaseren , A. Vogt

We consider the extension of the CMW soft-gluon effective coupling in the context of soft-gluon resummation for QCD hard-scattering observables beyond the next-to-leading logarithmic accuracy. We present two proposals of a soft-gluon…

高能物理 - 唯象学 · 物理学 2019-09-04 Stefano Catani , Daniel de Florian , Massimiliano Grazzini

We study the Sudakov form factor and the four-point scattering amplitude on the Coulomb branch of planar $\mathcal{N}=4$ SYM as functions of the Coulomb-branch parameters and kinematic invariants. This setup provides a controlled probe of…

高能物理 - 理论 · 物理学 2026-05-18 Luis F. Alday , Elisabetta Armanini , Andrei V. Belitsky , Kelian Häring , Alexander Zhiboedov

We have extended our previous computations of the even-N moments of the flavour-singlet four-loop splitting functions to N = 12 for the pure-singlet quark case and N = 10 for all other cases. These results, obtained using physical…

高能物理 - 唯象学 · 物理学 2023-10-10 S. Moch , B. Ruijl , T. Ueda , J. Vermaseren , A. Vogt

The infrared divergences of massless n-parton scattering amplitudes can be derived from the anomalous dimension of n-jet operators in soft-collinear effective theory. Up to three-loop order, the latter has been shown to have a very simple…

高能物理 - 唯象学 · 物理学 2015-06-11 Valentin Ahrens , Matthias Neubert , Leonardo Vernazza

We unravel the structure of the spectrum of the anomalous dimensions of the quark-gluon twist-3 operators which are responsible for the multiparton correlations in hadrons and enter as a leading contribution to several physical cross…

高能物理 - 唯象学 · 物理学 2009-10-31 A. V. Belitsky

We compute the O(1/N_f) correction to the predominantly gluonic flavour singlet twist-2 anomalous dimension used in polarized deep inelastic scattering. It is consistent with known two loop perturbation theory and we determine the three…

高能物理 - 唯象学 · 物理学 2008-11-26 J. F. Bennett , J. A. Gracey

We analyze the cusp anomalous dimension in the (leading) ladder limit of $\mathcal N=4$ SYM and present new results for its higher-order perturbative expansion. We study two different limits with respect to the cusp angle $\phi$. The first…

高能物理 - 理论 · 物理学 2016-06-29 Matteo Beccaria , Alberto Fachechi , Guido Macorini

We derive an analytic formula at three loops for the cusp anomalous dimension Gamma_cusp(phi) in N=4 super Yang-Mills. This is done by exploiting the relation of the latter to the Regge limit of massive amplitudes. We comment on the…

高能物理 - 理论 · 物理学 2015-06-04 Diego Correa , Johannes Henn , Juan Maldacena , Amit Sever

We present complete two-loop radiative corrections to the graviton-quark-antiquark form factor G^* \rightarrow q \overline q and graviton-gluon-gluon form factor G^* \rightarrow g g in SU(N) gauge theory with n_f light flavours using…

高能物理 - 唯象学 · 物理学 2014-02-13 Daniel de Florian , Maguni Mahakhud , Prakash Mathews , Javier Mazzitelli , V. Ravindran

I present results for the resummation of soft-gluon contributions to QCD hard-scattering cross sections at next-to-next-to-leading logarithm accuracy. A key ingredient is the calculation of two-loop soft anomalous dimensions for the…

高能物理 - 唯象学 · 物理学 2011-04-12 Nikolaos Kidonakis

By considering the scaling behaviour of various Feynman graphs at leading order in large $\Nf$ at the non-trivial fixed point of the $d$-dimensional $\beta$-function of QCD we deduce the critical exponents corresponding to the quark, gluon…

高能物理 - 理论 · 物理学 2009-10-22 J. A. Gracey

We have calculated the n_f^2 and n_f^3 contributions to the flavour non-singlet structure functions F_2 and F_L in inclusive deep-inelastic scattering at the fourth order in the strong coupling alpha_s. The coefficient functions have been…

高能物理 - 唯象学 · 物理学 2023-04-12 A. Basdew-Sharma , A. Pelloni , Franz Herzog , A. Vogt

We consider twist-3 operators in the sl(2) sector of N=4 SYM built out of three scalar fields with derivatives. We extract from the Bethe Ansatz equations of this sector the exact lowest anomalous dimension gamma(s) of scaling fields for…

高能物理 - 理论 · 物理学 2009-11-13 Matteo Beccaria

We present virtual contributions up to two loop level in perturbative Quantum Chromodynamic (QCD) to the decay of pseudo-scalar Higgs boson ($A$) to three gluons ($g$) and also to quark ($q$), anti-quark ($\overline q$) and a gluon. With…

高能物理 - 唯象学 · 物理学 2024-11-20 Pulak Banerjee , Prasanna K. Dhani , V. Ravindran

The anomalous dimensions of the gluon and ghost fields as well as the ghost-ghost-gluon and quark-quark-gluon vertexes are analytically computed in pQCD. Taken together with already available anomalous dimensions of the coupling constant,…

高能物理 - 唯象学 · 物理学 2010-04-05 K. G. Chetyrkin

We compute the non-planar contribution to the anomalous dimension of the eight moment of the twist-2 operators in N=4 supersymmetric Yang-Mills theory at four loops. This result was obtained from the calculations of some elements of the…

高能物理 - 理论 · 物理学 2015-06-19 V. N. Velizhanin