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In order to calculate cross sections with a large number of particles/jets in the final state at next-to-leading order, one has to reduce the occurring scalar and tensor one-loop integrals to a small set of known integrals. In massless…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Heinrich , T. Binoth

We describe a method to numerically compute multi-loop integrals, depending on one dimensionless parameter $x$ and the dimension $d$, in the whole kinematic range of $x$. The method is based on differential equations, which, however, do not…

High Energy Physics - Phenomenology · Physics 2021-10-13 Matteo Fael , Fabian Lange , Kay Schönwald , Matthias Steinhauser

Equivalence checking of quantum circuits is a central verification task in quantum computing, ensuring the correctness of circuit optimizations, hardware mappings, and compilation pipelines. Among the primary symbolic methods for this…

Symbolic Computation · Computer Science 2026-04-28 Wei-Jia Huang , Christophe Chareton , Yu-Fang Chen , Kai-Min Chung , Min-Hsiu Hsieh , Alfons Laarman , Jingyi Mei

Calculated fusion-evaporation cross sections from five different codes are compared to experimental data. The present comparison extents over a large range of nuclei and isotopic chains to investigate the evolution of experimental and…

Nuclear Experiment · Physics 2018-03-14 B. Blank , G. Canchel , F. Seis , P. Delahaye

Recent advances in our understanding of tree-level QCD amplitudes in the massless limit exploiting an effective (maximal) supersymmetry have led to the complete analytic construction of tree-amplitudes with up to four external…

High Energy Physics - Phenomenology · Physics 2013-02-08 Simon Badger , Benedikt Biedermann , Lucas Hackl , Jan Plefka , Theodor Schuster , Peter Uwer

Recent jet results in $p\bar{p}$ collisions at $\sqrt{s}$=1.96 TeV from the CDF experiment at the Tevatron are presented. The jet inclusive cross section is compared to next-to-leading order QCD prediction in different rapidity regions. The…

High Energy Physics - Experiment · Physics 2007-05-23 Michele Gallinaro

We perform the integration of all iterated singly-unresolved subtraction terms, as defined in ref. [1], over the two-particle factorized phase space. We also sum over the unresolved parton flavours. The final result can be written as a…

High Energy Physics - Phenomenology · Physics 2011-05-10 Paolo Bolzoni , Gabor Somogyi , Zoltan Trocsanyi

We discuss the motivation for making predictions for jet cross sections at next-to-next-to-leading order. We describe the theoretical ingredients needed for such a calculation and briefly review the progress in the field.

High Energy Physics - Phenomenology · Physics 2007-05-23 E. W. N. Glover

We calculate the cross section for $e^+ e^-$ annihilation into three jets for massive quarks at next-to-leading order in perturbative QCD, both on and off the $Z$ resonance. Our computation allows the implementation of any jet clustering…

High Energy Physics - Phenomenology · Physics 2009-10-30 Werner Bernreuther , Arnd Brandenburg , Peter Uwer

We present a leading colour computation of the double virtual contributions to top-quark pair production in association with a jet at a hadron collider at next-to-next-to-leading order in QCD. The finite remainders of the two-loop…

High Energy Physics - Phenomenology · Physics 2026-05-15 Simon Badger , Matteo Becchetti , Colomba Brancaccio , Michał Czakon , Heribertus Bayu Hartanto , Rene Poncelet , Simone Zoia

We present an algorithm to express Wilson lines that are defined on piecewise linear paths in function of their individual segments, reducing the number of diagrams needed to be calculated. The important step lies in the observation that…

High Energy Physics - Phenomenology · Physics 2016-03-23 Frederik F. Van der Veken

A summary of the current understanding of methods of analytical higher order perturbative computations of total cross sections and decay widths in Quantum Chromodynamics is presented. As examples, the total cross section in electron…

High Energy Physics - Phenomenology · Physics 2009-10-28 Levan R. Surguladze , Mark A. Samuel

We apply the theory of parton-parton total cross sections at large ``s", due to Lipatov and collaborators, to compute the inclusive cross section for jets which accompany a large ``s" parton scattering process.

High Energy Physics - Phenomenology · Physics 2009-10-22 Vittorio Del Duca , Michael E. Peskin , Wai-Keung Tang

Dual-tip phase-detection probes can be used to measure flow properties in gas-liquid flows. Traditionally, time-averaged interfacial velocities have been obtained through cross-correlation analysis of long time-series of phase fraction…

Fluid Dynamics · Physics 2020-01-14 Matthias Kramer , Benjamin Hohermuth , Daniel Valero , Stefan Felder

We consider coordinate descent methods on convex quadratic problems, in which exact line searches are performed at each iteration. (This algorithm is identical to Gauss-Seidel on the equivalent symmetric positive definite linear system.) We…

Optimization and Control · Mathematics 2020-01-14 Stephen J. Wright , Ching-Pei Lee

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

We perform an analytic calculation of the color fields in heavy-ion collisions by considering the collision of longitudinally extended nuclei in the dilute limit of the Color Glass Condensate effective field theory of high-energy QCD. Based…

High Energy Physics - Phenomenology · Physics 2022-07-27 Andreas Ipp , David I. Müller , Soeren Schlichting , Pragya Singh

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 present first results of resumming soft gluon effects in a simulation of high energy collisions beyond the leading-colour approximation. We work to all orders in QCD perturbation theory using a new parton branching algorithm. This…

High Energy Physics - Phenomenology · Physics 2021-03-24 Matthew De Angelis , Jeffrey R. Forshaw , Simon Plätzer

In the framework of perturbative QCD, double inclusive cross sections for high $p_t$ parton production in nucleus-nucleus collisions are computed with multiple rescattering taken into account. The induced long-range correlations between…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. A. Braun , R. S. Kolevatov , B. Vlahovic
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