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Related papers: Four-Particle Phase Space Integrals in Massless QC…

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In this talk we discuss an algorithm for the numerical calculation of one-loop QCD amplitudes and present results at next-to-leading order for jet observables in electron-positron annihilation calculated with the above-mentioned method. The…

High Energy Physics - Phenomenology · Physics 2011-12-16 S. Becker , D. Goetz , C. Reuschle , C. Schwan , S. Weinzierl

Multidimensional phase space integrals must be calculated in order to obtain predictions for total or differential cross sections, or to simulate unweighted events of multiparticle reactions. The corresponding matrix elements, already in…

High Energy Physics - Phenomenology · Physics 2025-06-06 Karol Kolodziej

We derive the full system of canonical differential equations for all planar two-loop massless six-particle master integrals, and determine analytically the boundary conditions. This fully specifies the solutions, which may be written as…

High Energy Physics - Phenomenology · Physics 2025-01-20 Johannes Henn , Antonela Matijašić , Julian Miczajka , Tiziano Peraro , Yingxuan Xu , Yang Zhang

We determine the complete three-loop QCD soft anomalous dimension for multileg amplitudes involving a single massive coloured particle and any number of massless ones. This is achieved by applying a novel strategy based on a lightcone…

High Energy Physics - Phenomenology · Physics 2025-11-03 Einan Gardi , Zehao Zhu

We have implemented a systematic procedure for combining parton shower algorithms with next-to-leading order QCD calculations for the case of jet production in deep-inelastic electron-proton scattering. Using this method we have computed…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. Pötter , T. Schörner

Factorization theorems for single inclusive jet production play a crucial role in the study of jets and their substructure. In the case of small radius jets, the dynamics of the jet clustering can be factorized from both the hard production…

High Energy Physics - Phenomenology · Physics 2024-10-01 Kyle Lee , Ian Moult , Xiaoyuan Zhang

Jet cross sections in deeply inelastic scattering in the case of transverse photon exchange for the production of (1+1) and (2+1) jets are calculated in next-to-leading order QCD (here the `+1' stands for the target remnant jet, which is…

High Energy Physics - Phenomenology · Physics 2009-10-22 Dirk Graudenz

We report on recent progress for the QCD corrections to top quark pair plus jet production. In particular, we discuss a recent computation for the two-loop master integrals associated to a two-loop five-point pentagon-box integral…

High Energy Physics - Phenomenology · Physics 2023-10-17 Matteo Becchetti

It is shown that for every problem within dimensional regularization, using the Integration-By-Parts method, one is able to construct a set of master integrals such that each corresponding coefficient function is finite in the limit of…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. G. Chetyrkin , M. Faisst , C. Sturm , M. Tentyukov

We evaluate the master integrals for the two-loop non-planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to-leading order in QED. We adopt the method of differential equations and the Magnus…

High Energy Physics - Phenomenology · Physics 2018-09-17 Stefano Di Vita , Stefano Laporta , Pierpaolo Mastrolia , Amedeo Primo , Ulrich Schubert

It is described how the method of sector decomposition can serve to disentangle overlapping infrared singularities, in particular those occurring in the calculation of the real emission part of e+e- to 2 jets and e+e- to 3 jets at NNLO.

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

We evaluate all phase space master integrals which are required for the total cross section of generic 2 -> 1 processes at NNLO as a series expansion in the dimensional regulator epsilon. Away from the limit of threshold production, our…

High Energy Physics - Phenomenology · Physics 2015-06-11 Charalampos Anastasiou , Stephan Buehler , Claude Duhr , Franz Herzog

This paper studies multijet cross sections in the kinematic limit where one or more of the jets are unresolved. We study the asymptotic expansion of the cross section by using the method of regions. We explain in large generality how to…

High Energy Physics - Phenomenology · Physics 2025-09-09 Jürg Haag

In this work, we present the extension of an alternative subtraction scheme for next-to-leading order QCD calculations to the case of an arbitrary number of massless final-state partons. The scheme is based on the splitting kernels of an…

High Energy Physics - Phenomenology · Physics 2013-05-29 Cheng Han Chung , Tania Robens

We have calculated inclusive two-jet cross sections in next-to-leading order QCD for low Q^2 ep collisions superimposing direct and resolved contributions. Infrared and collinear singularities in the virtual and real contributions are…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. Klasen , G. Kramer

In this article we present a high-precision evaluation of the expansions in $\e=(4-d)/2$ of (up to) four-loop scalar vacuum master integrals, using the method of difference equations developed by S. Laporta. We cover the complete set of…

High Energy Physics - Phenomenology · Physics 2009-11-11 Y. Schroder , A. Vuorinen

In high energy hadron-hadron and e+e- collisions, to isolate a part of the phase space in multi-hadron final states is necessary for exploring the underlying dynamics. It is shown that the partition of phase space according to the value of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Liu Lianshou

We present universal factorization formulas describing the behavior of one-loop QCD amplitudes as external momenta become either soft or collinear. Our results are valid to all orders in the dimensional regularization parameter, $\eps$.…

High Energy Physics - Phenomenology · Physics 2016-08-25 Z. Bern , V. Del Duca , W. B. Kilgore , C. R. Schmidt

We calculate the rate for $e^+e^-$ annihilation into four jets at next-to-leading order in perturbative QCD, but omitting terms that are suppressed by one or more powers of $1/\Nc^2$, where $\Nc$ is the number of colors. The…

High Energy Physics - Phenomenology · Physics 2010-11-15 A. Signer , L. Dixon

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