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We briefly describe a new general algorithm for carrying out QCD calculations to next-to-leading order in perturbation theory. The algorithm can be used for computing arbitrary jet cross sections in arbitrary processes and can be…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Catani , Michael H. Seymour

We obtain analytic results for integrated triple-collinear splitting functions that emerge as collinear counter-terms in the context of the nested soft-collinear subtraction scheme arXiv:1702.01352 . With these results, all integrated…

High Energy Physics - Phenomenology · Physics 2019-08-19 Maximilian Delto , Kirill Melnikov

We consider higher-order QCD corrections to the production of colourless high-mass systems (lepton pairs, vector bosons, Higgs bosons,...) in hadron collisions. We propose a new formulation of the subtraction method to numerically compute…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Catani , M. Grazzini

Calculations for processes involving a high multiplicity of coloured particles often employ a leading colour approximation, where only the leading terms in the expansion of the number of colours $N_c$ and the number of flavours $n_f$ are…

High Energy Physics - Phenomenology · Physics 2022-09-21 X. Chen , T. Gehrmann , E. W. N. Glover , A. Huss , J. Mo

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…

High Energy Physics - Phenomenology · Physics 2010-02-03 E. W. N. Glover , M. E. Tejeda-Yeomans

We present the extension of two general algorithms for the treatment of infrared singularities arising in electroweak corrections to decay processes at next-to-leading order: the dipole subtraction formalism and the one-cutoff slicing…

High Energy Physics - Phenomenology · Physics 2016-03-23 Lorenzo Basso , Stefan Dittmaier , Alexander Huss , Luisa Oggero

Building on earlier work, the dipole subtraction formalism for photonic corrections is extended to various photon--fermion splittings where the resulting collinear singularities lead to corrections that are enhanced by logarithms of small…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefan Dittmaier , Alois Kabelschacht , Tobias Kasprzik

A new method of divergence subtraction in Feynman parametric integrals is presented. The method is suitable for calculating the lepton anomalous magnetic moments (AMM) in quantum electrodynamics (QED). The subtraction procedure eliminates…

High Energy Physics - Phenomenology · Physics 2022-09-07 Sergey Volkov

We present a new subtraction scheme for next-to-leading order QCD calculations, where the momentum mapping and the splitting functions have been derived in the context of an improved parton shower formulation. A main advantage of our scheme…

High Energy Physics - Phenomenology · Physics 2011-05-27 Tania Robens , Cheng Han Chung , Michael Kramer

The ALPHA algorithm to evaluate the exact, tree-level matrix elements is reviewed in the context of multi-parton processes in QCD. The algorithm is suited for the authomatic calculation of tree-level scattering amplitudes and allows for…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Moretti

We present an innovative method to resum infrared and collinear logarithms appearing in distributions of jet observables in QCD. The method, based on a general master formula with applicability conditions, allows resummations at…

High Energy Physics - Phenomenology · Physics 2007-05-23 Giulia Zanderighi

In a series of papers we have developed the method of iterated sector decomposition for the calculation of infrared divergent multi-loop integrals. Here we apply it to phase space integrals to calculate a contribution to the double real…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. Binoth , G. Heinrich

We use the antenna subtraction method to isolate the double virtual infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. In previous papers, we derived the subtraction terms that rendered (a) the…

High Energy Physics - Phenomenology · Physics 2015-06-12 Aude Gehrmann-De Ridder , Thomas Gehrmann , E. W. N. Glover , Joao Pires

Digital nets provide an efficient way to generate integration nodes of quasi-Monte Carlo (QMC) rules. For certain applications, as e.g. in Uncertainty Quantification, we are interested in obtaining a speed-up in computing products of a…

Numerical Analysis · Mathematics 2025-05-21 Vishnupriya Anupindi , Peter Kritzer

We give a prescription for attaching parton showers to next-to-leading order (NLO) partonic jet cross sections in electron-positron annihilation. Our method effectively extends to NLO the scheme of Catani, Krauss, Kuhn, and Webber for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zoltan Nagy , Davison E. Soper

A new method for local subtraction at next-to-next-to-leading order in QCD is sketched, attempting to conjugate the minimal counterterm structure arising from a sector partition of the radiation phase space with the simplifications…

High Energy Physics - Phenomenology · Physics 2018-07-25 Lorenzo Magnea , Ezio Maina , Paolo Torrielli , Sandro Uccirati

We summarize our efforts to create a numerical implementation of the Local Analytical Subtraction Scheme (LASS) for obtaining NNLO QCD predictions in electron-positron collisions. We focus on the regularization of double-real radiation…

High Energy Physics - Phenomenology · Physics 2024-07-03 Adam Kardos , Giuseppe Bevilacqua , Bakar Chargeishvili , Sven-Olaf Moch , Zoltan Trocsanyi

We present the computation of the double real and real-virtual contributions to top-antitop pair production in the quark-antiquark channel at leading colour. The $q \bar q \to t \bar{t} g$ amplitudes contributing to the real-virtual part…

High Energy Physics - Phenomenology · Physics 2015-06-19 Gabriel Abelof , Aude Gehrmann-De Ridder , Philipp Maierhöfer , Stefano Pozzorini

We present NNLOCAL, a proof-of-concept parton-level Monte Carlo program implementing the extension of the completely local subtraction scheme CoLoRFulNNLO to the case of color-singlet production in hadron collisions. We have built general…

High Energy Physics - Phenomenology · Physics 2025-05-21 V. Del Duca , C. Duhr , L. Fekésházy , F. Guadagni , P. Mukherjee , G. Somogyi , F. Tramontano , S. Van Thurenhout

The antenna subtraction method for the computation of higher order corrections to jet observables and exclusive cross sections at collider experiments is extended to include hadronic initial states. In addition to the already known antenna…

High Energy Physics - Phenomenology · Physics 2010-02-03 A. Daleo , T. Gehrmann , D. Maitre
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