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We extend the four-dimensional unsubtraction method, which is based on the loop-tree duality (LTD), to deal with processes involving heavy particles. The method allows to perform the summation over degenerate IR configurations directly at…

High Energy Physics - Phenomenology · Physics 2016-11-23 German F. R. Sborlini , Felix Driencourt-Mangin , German Rodrigo

We present the next-to-next-to-leading order (NNLO) calculation of quark quasi parton distribution functions (PDFs) in the large momentum effective theory. The nontrivial factorization at this order is established explicitly and the full…

High Energy Physics - Phenomenology · Physics 2021-02-24 Long-Bin Chen , Wei Wang , Ruilin Zhu

We have computed the complete next-to-next-to-leading order (NNLO) contributions to the splitting functions governing the evolution of unpolarized parton densities in perturbative QCD. Our results agree with all partial results available in…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Moch , J. A. M. Vermaseren , A. Vogt

An algorithm for an improved description of final-state QCD radiation is introduced. It is matched to the first-order matrix elements for gluon emission in a host of decays, for processes within the Standard Model and the Minimal…

High Energy Physics - Phenomenology · Physics 2009-10-31 Torbjörn Sjöstrand

Beam and jet functions in Soft-Collinear Effective Theory describe collinear initial- and final-state radiation (jets), and enter in factorization theorems for N-jet production, the Higgs pT spectrum, etc. We show that they may directly be…

High Energy Physics - Phenomenology · Physics 2014-10-17 Mathias Ritzmann , Wouter J. Waalewijn

We discuss an algorithm for the numerical evaluation of NLO multiparton processes. We focus hereby on the virtual part of the NLO calculation, i.e. on evaluating the one-loop integration numerically. We employ and extend the ideas of the…

High Energy Physics - Phenomenology · Physics 2012-09-14 S. Becker , D. Goetz , C. Reuschle , C. Schwan , S. Weinzierl

In this review, we discuss the results on the parton-to-pion fragmentation functions obtained in a combined NLO fit to data of single-inclusive hadron production in electron-positron annihilation, proton-proton collisions, and…

High Energy Physics - Phenomenology · Physics 2016-11-23 R. J. Hernández-Pinto , M. Epele , D. de Florian , R. Sassot , M. Stratmann

We suggest improvements for double counting subtraction scheme, which is needed for the consistent treatment of real corrections in the high-energy limit, and apply it to the single photon production at the NLO${}^\star$ approximation of…

High Energy Physics - Phenomenology · Physics 2025-12-01 A. Chernyshev , V. Saleev

We present a calculation of next-to-leading-order (NLO) QCD corrections to total hadronic production cross sections and to light-hadron-decay rates of heavy quarkonium states. Both colour-singlet and colour-octet contributions are included.…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Petrelli , M. Cacciari , M. Greco , F. Maltoni , M. L. Mangano

We address quarkonium formation at moderate to large transverse momenta, where the single-parton collinear fragmentation prevails over the short-distance emission, directly from the hard sub-scattering, of the constituent heavy-quark pair.…

High Energy Physics - Phenomenology · Physics 2024-05-15 Francesco Giovanni Celiberto

Ordinary fracture functions, describing hadrons production in the deep inelastic scattering target fragmentation region, are generalized to account for the production of hadrons in arbitrary number, thus offering a renewed framework for…

High Energy Physics - Phenomenology · Physics 2008-11-26 Federico A. Ceccopieri , Luca Trentadue

In this work, we briefly report on the current status of an alternative subtraction scheme which is based on the splitting kernels of an improved parton shower prescription. Our focus is here on more recent developments as well as generic…

High Energy Physics - Phenomenology · Physics 2014-01-14 Markus Bach , Cheng Han Chung , Tania Robens

We present a simple way of separating the overlap between the soft and collinear factorization formulae of QCD squared matrix elements. We check its validity explicitly for single and double unresolved emissions of tree-level processes. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zoltan Nagy , Gabor Somogyi , Zoltan Trocsanyi

The alternative approach to QCD analysis of the photon structure function $F_2^{\gamma}$ is presented. It differs from the conventional one by the presence of the terms which in conventional approach appear in higher orders. We show that…

High Energy Physics - Phenomenology · Physics 2009-04-03 Jiri Hejbal

We present a compact form of the massive $1\to 3$ tree-level QCD splitting functions and discuss a decomposition of the results in terms of lower-order expressions, scalar dipole antenna functions and pure higher-order remainders. The…

High Energy Physics - Phenomenology · Physics 2026-02-16 Stefan Höche , Matt LeBlanc , Jennifer Roloff , Grant Whitman

I illustrate a general formalism based upon the subtraction method for the calculation of next-to-leading order QCD cross sections for any number of jets in any type of hard collisions. I discuss the implementation of this formalism in a…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Frixione

We derive algorithms for higher order derivative computation of the rectangular $QR$ and eigenvalue decomposition of symmetric matrices with distinct eigenvalues in the forward and reverse mode of algorithmic differentiation (AD) using…

Data Structures and Algorithms · Computer Science 2010-02-19 S. F. Walter , L. Lehmann

A method based on sector decomposition is briefly described which is suitable for the calculation of the double real radiation part of e^+e^- to 3 jets at next-to-next-to-leading order in a fully differential way.

High Energy Physics - Phenomenology · Physics 2009-11-11 G. Heinrich

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

We calculate, for the first time, the NNLO QCD corrections to identified heavy hadron production at hadron colliders. The calculation is based on a flexible numeric framework which allows the calculation of any distribution of a single…

High Energy Physics - Phenomenology · Physics 2021-11-17 Michal Czakon , Terry Generet , Alexander Mitov , Rene Poncelet