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We compute the tree-level current for the emission of a soft quark-antiquark pair in association with a gluon. This soft current is the last missing ingredient to understand the infrared singularities that can arise in…

High Energy Physics - Phenomenology · Physics 2023-02-01 Vittorio Del Duca , Claude Duhr , Rayan Haindl , Zhengwen Liu

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 consider the singular behaviour of one-loop QCD matrix elements when several external partons become simultaneously parallel. We present a new factorization formula that describes the singular collinear behaviour directly in colour…

High Energy Physics - Phenomenology · Physics 2010-04-05 Stefano Catani , Daniel de Florian , German Rodrigo

We present an algorithm to evaluate the exact, tree-level matrix elements for multi-parton processes in QCD. We tested this technique, based on the recursive evaluation of the S-matrix, on processes such as gg -> n gluons and q qbar -> n…

High Energy Physics - Phenomenology · Physics 2009-07-09 F. Caravaglios , M. L. Mangano , M. Moretti , R. Pittau

We compute the tree-level current for the emission of two soft quark-antiquark pairs in a hard scattering. We also compute the square of this current and discuss the resulting color correlations, featuring dipole correlations and…

High Energy Physics - Phenomenology · Physics 2024-11-26 Xinguang Chen , Zhengwen Liu

I consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel and I discuss the universal factorization formula that controls the singularities of the multiparton matrix…

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

We present the QCD analysis of D-parameter distribution in near-to-planar 3-jet e+e- annihilation events. We derive the all-order resummed perturbative prediction and the leading power suppressed non-perturbative corrections both to the…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Banfi , Yu. L. Dokshitzer , G. Marchesini , G. Zanderighi

We present a detailed analysis of QED corrections to $\bar{B} \to \bar{K} \ell^+ \ell^-$ decays at the double-differential level. Cancellations of soft and collinear divergences are demonstrated analytically using the phase space slicing…

High Energy Physics - Phenomenology · Physics 2021-03-25 Gino Isidori , Saad Nabeebaccus , Roman Zwicky

Subtraction schemes provide a systematic way to compute fully-differential cross sections beyond the leading order in the strong coupling constant. These methods make singular real-emission corrections integrable in phase space by the…

High Energy Physics - Phenomenology · Physics 2020-01-29 Vittorio Del Duca , Nicolas Deutschmann , Simone Lionetti

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 an all-order generalized factorization formula for QCD scattering amplitudes in kinematical configurations where two or more momenta of the external partons become collinear. The singular behaviour of the scattering amplitudes in…

High Energy Physics - Phenomenology · Physics 2012-12-03 Stefano Catani , Daniel de Florian , German Rodrigo

An algorithm is presented in which the Colour-Dipole Cascade Model as implemented in the Ariadne program is corrected to match the fixed order tree-level matrix elements for e+e- -> n jets. The result is a full parton level generator for…

High Energy Physics - Phenomenology · Physics 2009-11-07 Leif Lonnblad

We consider the singular behaviour of QCD scattering amplitudes in kinematical configurations where two or more momenta of the external partons become collinear. At the tree level, this behaviour is known to be controlled by factorization…

High Energy Physics - Phenomenology · Physics 2015-06-03 Stefano Catani , Daniel de Florian , German Rodrigo

Finite element approximation to a decoupled formulation for the quad--curl problem is studied in this paper. The difficulty of constructing elements with certain conformity to the quad--curl problems has been greatly reduced. For convex…

Numerical Analysis · Mathematics 2021-12-09 Shuhao Cao , Long Chen , Xuehai Huang

We review the recent developments of the loop-tree duality method, focussing our discussion on analysing the singular behaviour of the loop integrand of the dual representation of one-loop integrals and scattering amplitudes. We show that…

High Energy Physics - Phenomenology · Physics 2014-07-23 Sebastian Buchta , Grigorios Chachamis , Ioannis Malamos , Isabella Bierenbaum , Petros Draggiotis , German Rodrigo

We extend the algorithm for matching fixed-order tree-level matrix element generators with the Dipole Cascade Model in Ariadne to apply to processes with incoming hadrons. We test the algoritm on for the process W+n jets at the Tevatron,…

High Energy Physics - Phenomenology · Physics 2009-11-11 Nils Lavesson , Leif Lonnblad

A persistent and fascinating problem at the high energy colliders are jets. Often trying to observe physics underlying the hard interactions at colliders requires experimental cuts in phase space, defining several jet or beam regions. QCD…

High Energy Physics - Phenomenology · Physics 2015-09-01 Duff Neill

We present a new approach to combine multiple NLO parton-level calculations matched to parton showers into a single inclusive event sample. The method provides a description of hard multi-jet configurations at next-to leading order in the…

High Energy Physics - Phenomenology · Physics 2013-02-14 Thomas Gehrmann , Stefan Hoeche , Frank Krauss , Marek Schonherr , Frank Siegert

Infrared subtraction algorithms beyond next-to-leading order necessitate the analysis of multiple infrared limits of scattering amplitudes, where several particles sequentially become soft or collinear. In this contribution, we report on…

High Energy Physics - Phenomenology · Physics 2024-07-11 Lorenzo Magnea , Calum Milloy , Chiara Signorile-Signorile , Paolo Torrielli

We present a simple formalism for the evolution of timelike jets in which tree-level matrix element corrections can be systematically incorporated, up to arbitrary parton multiplicities and over all of phase space, in a way that…

High Energy Physics - Phenomenology · Physics 2013-08-06 W. T. Giele , D. A. Kosower , P. Z. Skands