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A general method for calculating \NLO cross sections in perturbative QCD is presented. The algorithm is worked out for calculating $N$-jet cross sections in hadron-hadron collisions. The generalization of the scheme to performing…

High Energy Physics - Phenomenology · Physics 2009-10-30 Zoltán Nagy , Zoltán Trócsányi

A formula for the two-loop infrared singularities of dimensionally regularized QCD scattering amplitudes with an arbitrary number of massive and massless legs is derived. The singularities are obtained from the solution of a…

High Energy Physics - Phenomenology · Physics 2014-11-18 Thomas Becher , Matthias Neubert

We show that standard next-to-leading order (NLO) perturbative QCD analyses used to extract $\alpha_{s}$ from LEP data do not serve to disentangle the completely unknown renormalization scheme (RS) invariant next-NLO (NNLO) and higher-order…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. T. Barclay , C. J. Maxwell , M. T. Reader

The semi-inclusive deep-inelastic scattering (SIDIS) process requires the presence of an identified hadron H$'$ in the final state, which arises from the scattering of a lepton with an initial hadron P. By employing factorization in quantum…

High Energy Physics - Phenomenology · Physics 2025-11-03 Saurav Goyal , Roman N. Lee , Sven-Olaf Moch , Vaibhav Pathak , Narayan Rana , V. Ravindran

We derive the hard functions for all 2->2 processes in massless QCD up to next-to-next-to-leading order (NNLO) in the strong coupling constant. By employing the known one- and two-loop helicity amplitudes for these processes, we obtain…

High Energy Physics - Phenomenology · Physics 2015-06-22 Alessandro Broggio , Andrea Ferroglia , Ben D. Pecjak , Zhibai Zhang

We present a calculation of the full set of next-to-next-to-leading-order QED corrections to unpolarised M{\o}ller scattering. This encompasses photonic, leptonic, and non-perturbative hadronic corrections and includes electron mass effects…

High Energy Physics - Phenomenology · Physics 2022-02-28 Pulak Banerjee , Tim Engel , Nicolas Schalch , Adrian Signer , Yannick Ulrich

In this paper we present a next-to-next-to-leading order (NNLO) QCD calculation of the processes $pp\rightarrow l^+l^-\gamma$ and $pp\rightarrow \nu\bar\nu\gamma$ that we have implemented in MCFM. Our calculation includes QCD corrections at…

High Energy Physics - Phenomenology · Physics 2018-01-17 John M. Campbell , Tobias Neumann , Ciaran Williams

We present a next-to-leading order (NLO) computation of the full set of polarized and unpolarized electroweak semi-inclusive DIS (SIDIS) structure functions, whose knowledge is crucial for a precise extraction of polarized parton…

High Energy Physics - Phenomenology · Physics 2015-06-11 Daniel de Florian , Yamila Rotstein Habarnau

We study the infrared behaviour of tree-level QCD amplitudes and we derive infrared-factorization formulae that are valid at any perturbative order. We explicitly compute all the universal infrared factors that control the singularities in…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. Catani , M. Grazzini

Compton scattering is a fundamental process in QED with broad applications, yet its theoretical description at high energies is challenged by substantial next-to-leading order (NLO) corrections arising from double-logarithmic enhancements.…

High Energy Physics - Phenomenology · Physics 2025-11-13 Hai Tao Li , Yan-Qing Ma , Cheng-Tai Tan , Jian Wang , Hong-Fei Zhang

We report a complete computation of next-to-next-to-leading order (NNLO) helicity and transversity Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) splitting functions, in both space-like and time-like kinematics. These results are…

High Energy Physics - Phenomenology · Physics 2026-03-31 Yu Jiao Zhu

A new method to construct event-generators based on next-to-leading order QCD matrix-elements and leading-logarithmic parton showers is proposed. Matrix elements of loop diagrams as well as those of a tree level can be generated using an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Y. Kurihara

We present a next-to-leading order computation in QCD of one-jet and two-jet cross sections in polarized hadronic collisions. Our results are obtained in the framework of a general formalism that deals with soft and collinear singularities…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. de Florian , S. Frixione , A. Signer , W. Vogelsang

Real and virtual corrections in NNLO QCD require multi-dimensional integrals with overlapping singularities. We first review ideas and methods which have been proposed for performing such computations. We then present a new method for the…

High Energy Physics - Phenomenology · Physics 2011-03-18 Charalampos Anastasiou , Franz Herzog , Achilleas Lazopoulos

We discuss the prescription for the Dirac matrix gamma_5 in dimensional regularization used in most second- and third-order QCD calculations of collider cross sections. We provide an alternative implementation of this approach that avoids…

High Energy Physics - Phenomenology · Physics 2015-06-16 S. Moch , J. A. M. Vermaseren , A. Vogt

We compute the next-to-next-to-leading order (NNLO) QCD corrections to the decay $t(\uparrow) \to X_b +W^+$ of a polarized top quark. The spin-momentum correlation in this quasi two-body decay is described by the polar angle distribution…

High Energy Physics - Phenomenology · Physics 2018-05-16 A. Czarnecki , S. Groote , J. G. Körner , J. H. Piclum

We present the results of our QCD analysis for non-singlet unpolarized quark distributions and structure function $F_2(x,Q^2)$ up to N$^3$LO. In this regards 4-loop anomalous dimension can be obtain from the Pad\'e approximations. The…

High Energy Physics - Phenomenology · Physics 2010-02-03 Ali N. Khorramian , H. Khanpour , S. Atashbar Tehrani

We report on the computation of a class of integrals that appear when integrating the so-called iterated singly-unresolved approximate cross section of the NNLO subtraction scheme of [1-4], over the factorised phase space of unresolved…

High Energy Physics - Phenomenology · Physics 2010-12-13 Gábor Somogyi , Paolo Bolzoni , Zoltán Trócsányi

The parton distributions functions (PDFs) derived from the NNLO QCD analysis of existing light-targets deep-inelastic-scattering data are presented. The NLO and NNLO PDFs are compared in order to analyze perturbative stability of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Alekhin

We review the main results of next-to-leading order QCD analyses of polarized deep-inelastic scattering data, with special attention to the assessment of theoretical uncertainties.

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Ridolfi
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