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We present an alternative subtraction scheme for the treatment of infrared divergences in NLO QCD calculations. In this scheme, the number of transformations is greatly reduced with respect to the standard subtraction scheme by Catani and…

High Energy Physics - Phenomenology · Physics 2010-01-18 T. Robens , C. H. Chung

A review is presented on all higher order QCD corrections to deep inelastic structure functions. The implications of these corrections for polarized and unpolarized deep inelastic lepton-hadron scattering will be discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 W. L. van Neerven

The $N$-jettiness subtraction has proven to be an efficient method to perform differential QCD next-to-next-to-leading order (NNLO) calculations in the last few years. One important ingredient of this method is the NNLO soft function. We…

High Energy Physics - Phenomenology · Physics 2017-02-03 Hai Tao Li , Jian Wang

We use a factorization scheme analogous to one proposed for single inclusive forward hadron production to factorize the soft gluon divergence present in the deep inelastic scattering cross sections in the dipole picture at next-to-leading…

High Energy Physics - Phenomenology · Physics 2018-06-11 B. Ducloué , H. Hänninen , T. Lappi , Y. Zhu

The extension of interpolation-grid frameworks for perturbative QCD calculations at next-to-next-to-leading order (NNLO) is presented for deep inelastic scattering (DIS) processes. A fast and flexible evaluation of higher-order predictions…

High Energy Physics - Phenomenology · Physics 2021-08-30 D. Britzger , J. Currie , A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , C. Gwenlan , A. Huss , T. Morgan , J. Niehues , J. Pires , K. Rabbertz , M. R. Sutton

I present generalized formulas for approximate corrections to QCD hard-scattering cross sections through second order in the perturbative expansion. The approximate results are based on recent two-loop calculations for soft and collinear…

High Energy Physics - Phenomenology · Physics 2011-09-09 Nikolaos Kidonakis

We consider Next-to-Leading-Order QCD corrections to ADD graviton exchange relevant for Deep Inelastic Scattering experiments. We calculate the relevant NLO structure functions by calculating the virtual and real corrections for a set of…

High Energy Physics - Phenomenology · Physics 2011-06-21 W. J. Stirling , E. Vryonidou

We present the first complete calculation of hadron production in deep-inelastic scattering (DIS) at finite transverse momentum to next-to-next-to-leading order (NNLO) in perturbative QCD. To overcome the long-standing challenge of infrared…

High Energy Physics - Phenomenology · Physics 2026-02-27 Liang Dong , Shen Fang , Jun Gao , Hai Tao Li , Ding Yu Shao , Yu Jiao Zhu

In these proceedings, we report on our progress in developing the $\texttt{history}$ framework, which aims to implement the fully-local Nested Soft-Collinear infrared subtraction scheme for the automated phase-space integration of…

High Energy Physics - Phenomenology · Physics 2025-12-01 Lukas Simon , Sven Yannick Klein

In order to numerically compute scattering cross sections in QCD, one needs to deal with various kinematic divergences that appear at intermediate stages of the calculation. One way of doing this is by setting up an IR subtraction scheme.…

High Energy Physics - Phenomenology · Physics 2026-01-06 S. Van Thurenhout , V. Del Duca , C. Duhr , L. Fekésházy , F. Guadagni , P. Mukherjee , G. Somogyi , F. Tramontano

I present a unified calculation of soft-gluon corrections to hard-scattering cross sections through next-to-next-to-next-to-leading order (NNNLO). Master formulas are derived, from a threshold resummation formalism, that can be applied to…

High Energy Physics - Phenomenology · Physics 2013-05-29 Nikolaos Kidonakis

I present a systematic approach to calculating soft-gluon corrections through next-to-next-to-next-to-leading order for arbitrary hard-scattering cross sections. Using a unified approach, master formulas are derived for processes with both…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nikolaos Kidonakis

We present a new general algorithm for calculating arbitrary jet cross sections in arbitrary scattering processes to next-to-leading accuracy in perturbative QCD. The algorithm is based on the subtraction method. The key ingredients are new…

High Energy Physics - Phenomenology · Physics 2009-10-28 Stefano Catani , Michael H. Seymour

We compute the ${\cal O}(\alpha^2\alpha_s^2)$ perturbative corrections to inclusive jet production in electron-nucleon collisions. This process is of particular interest to the physics program of a future Electron Ion Collider (EIC). We…

High Energy Physics - Phenomenology · Physics 2016-10-28 Gabriel Abelof , Radja Boughezal , Xiaohui Liu , Frank Petriello

We address the problem of decomposing graphs in perturbative QCD into terms associated with particular regions. Motivated by asking how to incorporate next-to-leading order (NLO) QCD corrections in parton-shower algorithms, we require that:…

High Energy Physics - Phenomenology · Physics 2010-02-03 J. C. Collins , F. Hautmann

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 present a next-to-next-to-leading order (NNLO) realization of a general quark mass scheme (S-ACOT-$\chi$) in deep inelastic scattering and explore the impact of NNLO terms on heavy-quark structure functions $F_{2,L}^{c}(x,Q)$. An amended…

High Energy Physics - Phenomenology · Physics 2013-05-30 Marco Guzzi , Pavel M. Nadolsky , Hung-Liang Lai , C. -P. Yuan

I discuss soft-gluon corrections in hard-scattering processes and their resummation. I present master formulas for the expansion of the resummed cross section through NNNLO and discuss the significance of these corrections in a number of…

High Energy Physics - Phenomenology · Physics 2017-08-23 Nikolaos Kidonakis

I present a master formula for the next-to-next-to-leading order (NNLO) soft and virtual QCD corrections for any process in hadron-hadron and lepton-hadron colliders. The formula is derived from a unified threshold resummation formalism.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nikolaos Kidonakis

Hadron production in lepton-proton scattering (semi-inclusive deep inelastic scattering, SIDIS) probes the structure of hadrons at a higher level of detail than fully inclusive processes. A wealth of SIDIS data is available especially from…

High Energy Physics - Phenomenology · Physics 2024-08-19 Leonardo Bonino , Thomas Gehrmann , Markus Löchner , Kay Schönwald , Giovanni Stagnitto