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We present the analytic results of one-loop squared amplitudes for $tW$ production at a hadron collider. The calculation is performed using the method of differential equations. After renormalization, we have checked that the infrared…

高能物理 - 唯象学 · 物理学 2022-08-30 Long-Bin Chen , Liang Dong , Hai Tao Li , Zhao Li , Jian Wang , Yefan Wang

We summarize recent higher-order QCD results based, directly or indirectly, on the Mellin-space computation of the next-to-next-to-leading-order splitting functions governing the evolution of hadronic parton distributions. Specifically, we…

高能物理 - 唯象学 · 物理学 2011-04-11 A. Vogt , S. Moch , J. Vermaseren

I present a general method for determining the massive cusp anomalous dimension in QCD to a very high degree of accuracy using its asymptotic behavior at small and large quark velocities. I show that the method works exceedingly well at two…

高能物理 - 唯象学 · 物理学 2023-03-15 Nikolaos Kidonakis

The three-loop non-mixing contributions to the anomalous dimension of the leading order quark pair production current in non-relativistic QCD are computed. It is demonstrated that the renormalization procedure can only be carried out…

高能物理 - 唯象学 · 物理学 2009-11-10 A. H. Hoang

Within the framework of a high-twist approach, we calculate the next-to-leading order (NLO) perturbative QCD corrections to the transverse momentum broadening in semi-inclusive hadron production in deeply inelastic $e+A$ collisions, as well…

高能物理 - 唯象学 · 物理学 2014-03-19 Zhong-Bo Kang , Enke Wang , Xin-Nian Wang , Hongxi Xing

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 present the O(alphas^4) virtual QCD corrections to gluon-gluon scattering due to the self-interference of the one-loop amplitude. We give analytic expressions renormalised in the MSbar scheme and work in conventional dimensional…

高能物理 - 唯象学 · 物理学 2010-02-03 E. W. N. Glover , M. E. Tejeda-Yeomans

We report a calculation in N = 4 Yang-Mills of the four-loop term g^4 in the collinear anomalous dimension g(lambda) which governs the universal subleading infrared structure of gluon scattering amplitudes. Using the method of obstructions…

高能物理 - 理论 · 物理学 2008-11-26 Freddy Cachazo , Marcus Spradlin , Anastasia Volovich

We consider the collinear limit of QCD amplitudes at one-loop order, and their factorization properties directly in colour space. These results apply to the multiple collinear limit of an arbitrary number of QCD partons, and are a basic…

高能物理 - 唯象学 · 物理学 2009-11-10 German Rodrigo , Stefano Catani , Daniel de Florian , Werner Vogelsang

We introduce a method for extracting the cusp anomalous dimension at L loops from four-gluon amplitudes in N=4 Yang-Mills without evaluating any integrals that depend on the kinematical invariants. We show that the anomalous dimension only…

高能物理 - 理论 · 物理学 2008-11-26 Freddy Cachazo , Marcus Spradlin , Anastasia Volovich

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 study the splitting functions for the evolution of fragmentation distributions and the coefficient functions for single-hadron production in semi-inclusive electron-positron annihilation in massless perturbative QCD for small values of…

高能物理 - 唯象学 · 物理学 2015-06-05 C. -H. Kom , A. Vogt , K. Yeats

We calculate the anomalous dimension of the $|\Delta S| = 1$ current-current operators of the weak effective Lagrangian at next-to-next-to-next-to-leading order (NNNLO) in QCD. This constitutes the first step towards a full four-loop…

高能物理 - 唯象学 · 物理学 2026-04-21 Joachim Brod , Emmanuel Stamou , Tom Steudtner

We complete the computation of two-loop helicity amplitudes required to obtain next-to-next-to-leading order QCD corrections for three-jet production at hadron colliders, including all contributions beyond the leading-color approximation.…

高能物理 - 唯象学 · 物理学 2024-05-15 Giuseppe De Laurentis , Harald Ita , Vasily Sotnikov

We extend the ${\cal O}(\alpha_s^5)$ result of the analytic calculation of the quark mass anomalous dimension in pQCD [1] to the case of a generic gauge group. We present explicit formulas which express the relevant renormalization…

高能物理 - 唯象学 · 物理学 2017-05-24 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

We study the photon-quark-quark and Higgs-gluon-gluon form factors for on-shell massless quarks and gluons in perturbative QCD. Previous third-order results for the quark case are extended by calculating the fermion-loop contributions up to…

高能物理 - 唯象学 · 物理学 2010-04-05 S. Moch , J. A. M. Vermaseren , A. Vogt

The factorisation of QCD matrix elements in the limit of two external partons becoming collinear is described by process-independent splitting amplitudes, which can be expanded systematically in perturbation theory. Working in conventional…

高能物理 - 唯象学 · 物理学 2015-06-23 Claude Duhr , Thomas Gehrmann , Matthieu Jaquier

We consider the singular behaviour of one-loop QCD matrix elements when several external partons become simultaneously parallel. We present a new factorization formula that describes the singular collinear behaviour directly in colour…

高能物理 - 唯象学 · 物理学 2010-04-05 Stefano Catani , Daniel de Florian , German Rodrigo

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 $SL(2)$ algebra, i.e. they satisfy (exactly) the $SL(2)$ commutation…

高能物理 - 唯象学 · 物理学 2016-04-20 V. M. Braun , A. N. Manashov , S. Moch , M. Strohmaier

Solving the BKP equation and comparing with the structure function of hadron for deep inelastic scattering processes we are able to find a relation between reggeized N-gluon states and anomalous dimensions of QCD. To this end we perform…

高能物理 - 唯象学 · 物理学 2007-05-23 Jan Kotanski