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A method to define and calculate one-loop amplitudes with an off-shell space-like, or $k_T$-dependent, gluon is presented. It introduces a practical regularization to deal with the divergencies that appear due to linear denominators, and…

高能物理 - 唯象学 · 物理学 2022-02-01 A. van Hameren

We present a semi-recursive method for calculating the rational parts of one-loop gravity amplitudes which utilises axial gauge diagrams to determine the non-factorising pieces of the amplitude. This method is used to compute the one-loop…

高能物理 - 理论 · 物理学 2014-11-20 David C. Dunbar , James H. Ettle , Warren B. Perkins

The physics of high-energy collider experiments asks for delicate comparisons between theoretical predictions and experimental data. Signals and potential backgrounds for new physics have to be predicted at sufficient accuracy. The accuracy…

高能物理 - 唯象学 · 物理学 2007-05-23 A. van Hameren , C. G. Papadopoulos

The state-of-the-art in current two-loop QCD amplitude calculations is at five-particle scattering. Computing two-loop six-particle processes requires knowledge of the corresponding one-loop amplitudes to higher orders in the dimensional…

高能物理 - 理论 · 物理学 2023-02-08 Johannes M. Henn , Antonela Matijašić , Julian Miczajka

We review recent progress in calculations of one-loop QCD amplitudes. By imposing the consistency requirements of unitarity and correct behavior as the momenta of two legs become collinear, we construct ansatze for one-loop amplitudes with…

高能物理 - 唯象学 · 物理学 2008-02-03 Z. Bern , L. Dixon , D. Dunbar , D. A. Kosower

We present the one-loop helicity amplitudes with five external gluons. The computation employs string-based methods, new techniques for performing tensor integrals, and improvements in the spinor helicity method.

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

We obtain the Hawking spectrum by exponentiating a series of Feynman diagrams describing a scalar field scattering through a collapse background. Our approach is rooted in semiclassical methods of scattering amplitudes which have recently…

高能物理 - 理论 · 物理学 2024-12-09 Rafael Aoude , Donal O'Connell , Matteo Sergola

We report our experiences with the generalized integration-by-parts algorithm [hep-ph/9609429] in the context of calculations of a realistic one-loop subset of diagrams.

高能物理 - 唯象学 · 物理学 2007-05-23 D. Yu. Bardin , L. V. Kalinovskaya , F. V. Tkachov

We review some of the recent advances in the computation of one-loop scattering amplitudes which led to the construction of efficient and automated computational tools for NLO predictions. Particular attention is devoted to unitarity-based…

高能物理 - 唯象学 · 物理学 2015-06-17 Giovanni Ossola

We present complete analytical ${\mathcal O}(\epsilon^2)$ results on the one-loop amplitudes relevant for the NNLO quark-parton model description of the hadroproduction of heavy quarks as given by the so-called loop-by-loop contributions.…

高能物理 - 唯象学 · 物理学 2016-08-16 J. G. Körner , Z. Merebashvili , M. Rogal

We calculate all planar contributions to the two-loop massless helicity amplitudes for the process $q\bar q\to \gamma\gamma\gamma$. The results are presented in fully analytic form in terms of the functional basis proposed recently by…

高能物理 - 唯象学 · 物理学 2021-08-25 Herschel A. Chawdhry , Michal Czakon , Alexander Mitov , Rene Poncelet

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

Modern particle physics is increasingly becoming a precision science that relies on advanced theoretical predictions for the analysis and interpretation of experimental results. The planned physics program at the LHC and future colliders…

高能物理 - 唯象学 · 物理学 2023-01-04 Ievgen Dubovyk , Ayres Freitas , Janusz Gluza , Krzysztof Grzanka , Martijn Hidding , Johann Usovitsch

We present recent developments in the application of exact amplitude-based resummation methods in the confrontation between precision theory and recent experimental results. As a consequence, we argue that these methods open the way to 1\%…

高能物理 - 唯象学 · 物理学 2016-03-09 B. F. L. Ward , A. Mukhopadhyay

We show how to extract the coefficients of the 4-, 3-, 2- and 1-point one-loop scalar integrals from the full one-loop amplitude of arbitrary scattering processes. In a similar fashion, also the rational terms can be derived. Basically no…

高能物理 - 唯象学 · 物理学 2008-11-26 Giovanni Ossola , Costas G. Papadopoulos , Roberto Pittau

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

There is currently a high demand for theoretical predictions for processes at next-to-next-to-leading order (NNLO) and beyond, mainly due to the large amount of data which has already been collected at LHC. This requires practical methods…

高能物理 - 理论 · 物理学 2022-07-06 B. Z. Felippe , A. P. Baêta Scarpelli , A. R. Vieira , J. C. C. Felipe

We present a computer library for the numerical evaluation of colour-ordered n-gluon amplitudes at one-loop order in pure Yang-Mills theory. The library uses the recently developed technique of generalised unitarity. Running in double…

高能物理 - 唯象学 · 物理学 2013-03-05 Simon Badger , Benedikt Biedermann , Peter Uwer

In this talk we review the GOLEM approach to one-loop calculations and present an automated implementation of this technique. This method is based on Feynman diagrams and an advanced reduction of one-loop tensor integrals which avoids…

We introduce a new technique to generate scattering amplitudes at one loop. Traditional tree algorithms, which handle diagrams with fixed momenta, are promoted to generators of loop-momentum polynomials that we call open loops. Combining…

高能物理 - 唯象学 · 物理学 2013-05-30 Fabio Cascioli , Philipp Maierhöfer , Stefano Pozzorini