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I describe how to calculate cross sections for hard-scattering processes in high energy collisions at next to leading order in QCD. I consider infrared-safe quantities and I assume that the scattering amplitudes are known in analytic form…

High Energy Physics - Phenomenology · Physics 2007-05-23 Z. Kunszt

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

In previous articles we outlined a subtraction scheme for regularizing doubly-real emission and real-virtual emission in next-to-next-to-leading order (NNLO) calculations of jet cross sections in electron-positron annihilation. In order to…

High Energy Physics - Phenomenology · Physics 2008-12-30 Gábor Somogyi , Zoltán Trócsányi

The antenna subtraction method handles real radiation contributions in higher order corrections to jet observables. The method is based on antenna functions, which encapsulate all unresolved radiation between a pair of hard radiator…

High Energy Physics - Phenomenology · Physics 2015-05-28 Thomas Gehrmann , Pier Francesco Monni

The production of jets in low $Q^2$ $ep$ scattering (photoproduction) and in low $Q^2$ $e^+e^-$ scattering ($\gamma\gamma$ scattering) allows for testing perturbative QCD and for measuring the proton and photon structure functions. This…

High Energy Physics - Phenomenology · Physics 2014-11-17 Michael Klasen , Thorsten Kleinwort , Gustav Kramer

The antenna-subtraction technique has demonstrated remarkable effectiveness in providing next-to-next-to-leading order in $\alpha_s$ (NNLO) predictions for a wide range of processes relevant for the Large Hadron Collider. In a previous…

High Energy Physics - Phenomenology · Physics 2024-12-06 Oscar Braun-White , Nigel Glover , Christian T Preuss

We present a new parton level Monte Carlo program for the calculation of jet cross sections in Deep Inelastic Scattering based on Born and next-to-leading order matrix elements. Using a class of invariant jet definition schemes, the program…

High Energy Physics - Phenomenology · Physics 2008-02-03 T. Brodkorb , E. Mirkes

We present analytical results for top-quark decay processes, in an effective field theory beyond the Standard Model, at next-to-leading order in QCD. We parametrize new physics effects using dimension-six operators, and consider all…

High Energy Physics - Phenomenology · Physics 2014-07-16 Cen Zhang

The antenna subtraction method handles real radiation contributions in higher order corrections to jet observables. The method is based on antenna functions, which encapsulate all unresolved radiation between a pair of hard radiator…

High Energy Physics - Phenomenology · Physics 2015-06-05 Aude Gehrmann-De Ridder , Thomas Gehrmann , Mathias Ritzmann

The Compton amplitude subtraction function is an essential component in work concerning both the proton radius puzzle and the proton-neutron mass difference. However, owing to the difficulty in determining the subtraction function, it…

High Energy Physics - Lattice · Physics 2025-05-22 K. U. Can , A. Hannaford-Gunn , R. Horsley , P. E. L. Rakow , T. Schar , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

We discuss a modification of the next-to-next-to-leading order (NNLO) subtraction scheme based on the residue-improved sector decomposition that reduces the number of double-real emission sectors from five to four. In particular, a sector…

High Energy Physics - Phenomenology · Physics 2017-05-24 Fabrizio Caola , Kirill Melnikov , Raoul Röntsch

We present integrated subtraction terms and finite remainders for arbitrary processes with massless partons at hadron and lepton colliders in the context of the nested soft-collinear subtraction scheme. These results provide the very last…

High Energy Physics - Phenomenology · Physics 2026-01-14 Federica Devoto , Kirill Melnikov , Raoul Röntsch , Chiara Signorile-Signorile , Davide Maria Tagliabue , Matteo Tresoldi

We consider the mass distribution of QCD jets after the application of jet substructure methods, specifically the mass-drop tagger, pruning, trimming and their variants. In contrast to most current studies employing Monte Carlo methods, we…

High Energy Physics - Phenomenology · Physics 2013-11-11 Mrinal Dasgupta , Alessandro Fregoso , Simone Marzani , Alexander Powling

We present the first calculation of next-to-leading order QCD corrections to QCD-induced ZZ production in association with two jets at hadron colliders. Both Z bosons decay leptonically with all off-shell effects, virtual photon…

High Energy Physics - Phenomenology · Physics 2015-07-15 Francisco Campanario , Matthias Kerner , Le Duc Ninh , Dieter Zeppenfeld

Using the recently introduced STRIPPER approach to double-real radiation, we evaluate the total cross sections for the main partonic channels of the next-to-next-to leading order contributions to top quark pair production in hadronic…

High Energy Physics - Phenomenology · Physics 2015-05-20 M. Czakon

We review a Soft Collinear Effective Theory approach to the study of factorization and resummation of QCD effects in top-quark pair production. In particular, we consider differential cross sections such as the top-quark pair invariant mass…

High Energy Physics - Phenomenology · Physics 2014-09-16 Andrea Ferroglia , Simone Marzani , Ben D. Pecjak , Li Lin Yang

In this work, we examine the observables associated with the $B\to\rho\rho$ decays, including branching fractions, $CP$ asymmetry parameters, and longitudinal polarization fractions in the perturbative QCD (PQCD) approach with a few…

High Energy Physics - Phenomenology · Physics 2025-11-20 Ru-Xuan Wang , Mao-Zhi Yang

In future collider experiments at the TeV scale, large logarithmic corrections originating from massive boson exchange can lead to significant corrections to observable cross sections. Recently double logarithms of the Sudakov-type were…

High Energy Physics - Phenomenology · Physics 2010-03-25 Michael Melles

While the current frontier in fixed-order precision for collider observables is N$^3$LO, important steps are necessary to consolidate NNLO cross-section predictions with improved stability and efficiency. Slicing methods have been…

High Energy Physics - Phenomenology · Physics 2024-08-13 John Campbell , Tobias Neumann , Gherardo Vita

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