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相关论文: Advanced Techniques for Multiparton Loop Calculati…

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We review the current status of high-multiplicity double-virtual QCD corrections to processes relevant for LHC phenomenology. In particular, we discuss the recent full-color calculation of the five-parton process, whose two-loop amplitudes…

高能物理 - 唯象学 · 物理学 2024-06-27 Giuseppe De Laurentis

We recently presented a new method for the evaluation of one-loop amplitude of arbitrary scattering processes, in which the reduction to scalar integrals is performed at the integrand level. In this talk, we review the main features of the…

高能物理 - 唯象学 · 物理学 2007-09-17 Giovanni Ossola

We briefly review numerical methods for calculations beyond one loop and then describe new developments within the method of sector decomposition in more detail. We also discuss applications to two-loop integrals involving several mass…

高能物理 - 唯象学 · 物理学 2017-11-22 S. Borowka , G. Heinrich , S. Jahn , S. P. Jones , M. Kerner , J. Schlenk

We present a calculation of the planar two-loop five-gluon amplitudes. The amplitudes are obtained in a variant of the generalized unitarity approach suitable for numerical computations, which we extend for use with finite field…

高能物理 - 唯象学 · 物理学 2018-06-27 Samuel Abreu , Fernando Febres Cordero , Harald Ita , Ben Page , Mao Zeng

The integrand-level methods for the reduction of scattering amplitudes are well-established techniques, which have already proven their effectiveness in several applications at one-loop. In addition to the automation and refinement of tools…

高能物理 - 唯象学 · 物理学 2012-10-05 P. Mastrolia , E. Mirabella , G. Ossola , T. Peraro , H. van Deurzen

We present a semi-recursive method for calculating the rational parts of one-loop amplitudes when recursion produces double poles. We illustrate this with the graviton scattering amplitude M^{1-loop}(1-, 2+, 3+, 4+, 5+).

高能物理 - 理论 · 物理学 2010-12-13 David C. Dunbar , James H. Ettle , Warren B. Perkins

We review on-shell methods for computing multi-parton scattering amplitudes in perturbative QCD, utilizing their unitarity and factorization properties. We focus on aspects which are useful for the construction of one-loop amplitudes needed…

高能物理 - 唯象学 · 物理学 2010-11-15 Zvi Bern , Lance J. Dixon , David A. Kosower

We present a new method for computing complete one-loop amplitudes, including their rational parts, in non-supersymmetric gauge theory. This method merges the unitarity method with on-shell recursion relations. It systematizes a…

高能物理 - 唯象学 · 物理学 2010-11-15 Zvi Bern , Lance J. Dixon , David A. Kosower

In this talk we present techniques for calculating one-loop amplitudes for multi-leg processes using Feynman diagrammatic methods in a semi-algebraic context. Our approach combines the advantages of the different methods allowing for a fast…

We describe the recently developed on-shell bootstrap for computing one-loop amplitudes in non-supersymmetric theories such as QCD. The method combines the unitarity method with loop-level on-shell recursion. The unitarity method is used to…

高能物理 - 唯象学 · 物理学 2008-11-26 Carola F. Berger , Zvi Bern , Lance J. Dixon , Darren Forde , David A. Kosower

We present a formalism for the calculation of multi-particle one-loop amplitudes, valid for an arbitrary number N of external legs, and for massive as well as massless particles. A new method for the tensor reduction is suggested which…

高能物理 - 唯象学 · 物理学 2013-12-16 T. Binoth , J. Ph. Guillet , G. Heinrich , E. Pilon , C. Schubert

In the last few years, much progress has been made in the computation of one-loop virtual matrix elements for processes involving many external particles. In this contribution the methods that have enabled this recent progress are briefly…

高能物理 - 唯象学 · 物理学 2011-04-20 D. Maitre

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…

高能物理 - 唯象学 · 物理学 2011-12-16 S. Becker , D. Goetz , C. Reuschle , C. Schwan , S. Weinzierl

We consider a refinement of triangular factorization for unitary matrix valued loops.

泛函分析 · 数学 2014-08-12 Doug Pickrell , Benjamin Pittman-Polletta

We review the recently developed bootstrap method for the computation of high-multiplicity QCD amplitudes at one loop. We illustrate the general algorithm step by step with a six-point example. The method combines (generalized) unitarity…

高能物理 - 唯象学 · 物理学 2008-11-26 Carola F. Berger

We review recent developments in the calculation of QCD loop amplitudes with several external legs, and their application to next-to-leading order jet production cross-sections. When a number of calculational tools are combined together ---…

高能物理 - 唯象学 · 物理学 2007-05-23 Z. Bern , L. Dixon , D. A. Kosower , A. Signer

We review recent progress in D-dimensional integrand reduction algorithms for two loop amplitudes and give examples of their application to non-planar maximal cuts of the five-point all-plus helicity amplitude in QCD.

高能物理 - 唯象学 · 物理学 2014-07-14 Simon Badger , Hjalte Frellesvig , Yang Zhang

In this paper we discuss techniques, which lead to a significant improvement of the efficiency of the Monte Carlo integration, when one-loop QCD amplitudes are calculated numerically with the help of the subtraction method and contour…

高能物理 - 唯象学 · 物理学 2015-06-05 Sebastian Becker , Christian Reuschle , Stefan Weinzierl

Factorization properties of one-loop gauge theory amplitudes have been used as checks on explicitly computed amplitudes and in the construction of ansatze for higher-point ones. In massless theories, such as QCD at high energies, infrared…

高能物理 - 唯象学 · 物理学 2010-04-06 Z. Bern , G. Chalmers

In this talk we describe our approach for the computation of multi-leg one-loop amplitudes and present some first results relevant for LHC phenomenology.

高能物理 - 唯象学 · 物理学 2009-11-11 T. Binoth , A. Guffanti , J. -Ph. Guillet , S. Karg , N. Kauer , T. Reiter