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相关论文: Multiparticle amplitudes at one-loop: an algebraic…

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We calculate a class of one-loop six-point amplitudes in the Yukawa model. The construction of multi-particle amplitudes is done in the string inspired formalism and compared to the Feynman diagrammatic approach. We show that there exists a…

高能物理 - 唯象学 · 物理学 2009-11-07 T. Binoth , J. P. Guillet , G. Heinrich , C. Schubert

We present a C++ library for the numerical evaluation of one-loop virtual corrections to multi-jet production in massless QCD. The pure gluon primitive amplitudes are evaluated using NGluon. A generalized unitarity reduction algorithm is…

高能物理 - 唯象学 · 物理学 2015-06-11 Simon Badger , Benedikt Biedermann , Peter Uwer , Valery Yundin

In this letter we present a recursive method for computing one-loop off-shell amplitudes in colored quantum field theories. First, we generalize the perturbiner method by recasting the multiparticle currents as generators of off-shell tree…

高能物理 - 理论 · 物理学 2023-03-14 Humberto Gomez , Renann Lipinski Jusinskas , Cristhiam Lopez-Arcos , Alexander Quintero Velez

We describe the calculation of the one-loop corrections to $H \to \gamma \gamma$ and $g g \to H$ within the four-dimensional unsubtraction/loop-tree duality (FDU/LTD) approach. The fact that these corrections are both IR and UV finite is…

高能物理 - 唯象学 · 物理学 2017-09-29 German F. R. Sborlini , Felix Driencourt-Mangin , German Rodrigo

We present a gauge invariant way to compute one loop corrections to processes involving the production and decay of unstable particles.

高能物理 - 唯象学 · 物理学 2009-10-22 Andre Aeppli , Geert Jan van Oldenborgh , Daniel Wyler

We calculate the contributions to the two-loop scattering amplitudes $h \to gg$, $h \to ggg$ and $h \to q \bar q g$ that arise from a modified trilinear Higgs coupling $\lambda$. Analytic expressions are obtained by performing an asymptotic…

高能物理 - 唯象学 · 物理学 2019-05-01 Martin Gorbahn , Ulrich Haisch

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

I discuss the status of the computation of the two-loop QCD corrections to top-quark pair production associated with a jet at hadron colliders. This amplitude is a missing ingredient for next-to-next-to-leading order (NNLO) QCD predictions.…

高能物理 - 唯象学 · 物理学 2024-11-19 Colomba Brancaccio

We present a fully analytic calculation of the leading-order one-loop amplitude for triple Higgs production via gluon fusion, $gg \to HHH$, retaining full dependence on the mass of the heavy quark circulating in the loop. This amplitude…

高能物理 - 唯象学 · 物理学 2025-07-28 John M. Campbell , Giuseppe De Laurentis , R. Keith Ellis

We compute the one-loop QCD amplitudes for the decay of an off-shell vector boson with vector couplings into a quark-antiquark pair accompanied by two gluons keeping, for the first time, all orders in the number of colours. Together with…

高能物理 - 唯象学 · 物理学 2008-11-26 J. M. Campbell , E. W. N. Glover , D. J. Miller

The method suggested by Lowell Brown for calculating multi-particle threshold amplitudes is extended to the one-loop level in scalar theories with broken reflection symmetry. A result for the threshold amplitude for multiparticle production…

高能物理 - 唯象学 · 物理学 2009-10-22 B. H. Smith

An efficient numerical algorithm to evaluate one-loop amplitudes using tensor integrals is presented. In particular, it is shown by explicit calculations that for ordered QCD amplitudes with a number of external legs up to 10, its…

高能物理 - 唯象学 · 物理学 2009-08-11 A. van Hameren

We present an analytic reconstruction of one-loop amplitudes for the process $0 \to \bar{q}qt\bar{t}H$. Our calculation is a novel use of analytic reconstruction, retaining explicit covariance in the massive spin states through the massive…

高能物理 - 唯象学 · 物理学 2025-07-28 John M. Campbell , Giuseppe De Laurentis , R. Keith Ellis

We present compact analytic formulae for the one-loop amplitudes for Higgs + 4 parton scattering, $0 \to g g g g h$, $0 \to \bar{q} q gg h$ and $0\to \bar{q} q \bar{q}^\prime q^\prime h$, mediated by a loop of massive coloured quarks. We…

高能物理 - 唯象学 · 物理学 2022-06-24 Lucy Budge , John M. Campbell , Giuseppe De Laurentis , R. Keith Ellis , Satyajit Seth

We present the one-loop QCD amplitudes for two external massless quarks and three external gluons ($\bar{q}qggg$). This completes the set of one-loop amplitudes needed for the next-to-leading-order corrections to three-jet production at…

高能物理 - 唯象学 · 物理学 2010-11-15 Z. Bern , L. Dixon , D. A. Kosower

One-loop amplitudes are to a large extent determined by their unitarity cuts in four dimensions. We show that the remaining rational terms can be obtained from the ultraviolet behaviour of the amplitude, and determine universal form factors…

高能物理 - 唯象学 · 物理学 2010-10-27 T. Binoth , J. Ph. Guillet , G. Heinrich

We apply the recently proposed amplitude reduction at the integrand level method, to the computation of the scattering process 2 photons -> 4 photons, including the case of a massive fermion loop. We also present several improvements of the…

高能物理 - 唯象学 · 物理学 2009-04-21 Giovanni Ossola , Costas G. Papadopoulos , Roberto Pittau

An overview is presented on the current status of main mathematical computation methods for the multi-loop corrections to single scale observables in quantum field theory and the associated mathematical number and function spaces and…

高能物理 - 唯象学 · 物理学 2018-09-19 Johannes Blümlein , Carsten Schneider

We present advances in the development of the numerical unitarity method for the computation of multi-loop amplitudes in QCD. As an application, we show results for all the leading-color two-loop five-gluon helicity amplitudes. The…

高能物理 - 唯象学 · 物理学 2018-07-26 Samuel Abreu , Fernando Febres Cordero , Harald Ita , Ben Page , Mao Zeng

The possibility of treating colour in one-loop amplitude calculations alike the other quantum numbers is briefly discussed for semi-numerical algorithms based on generalized unitarity and parametric integration techniques. Numerical results…

高能物理 - 唯象学 · 物理学 2015-03-17 Jan Winter