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相关论文: A Numerical Unitarity Formalism for Evaluating One…

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We calculate field theory loop amplitudes by string methods, applied to half-maximal 4-point one-loop graviton amplitudes. Infrared divergences are regulated similarly to soft-collinear effective field theory (SCET): new mass scales are…

高能物理 - 理论 · 物理学 2026-03-31 Marcus Berg , Michael Haack , Yonatan Zimmerman

We study the three-particle and four-particle scattering amplitudes for an arbitrary, finite number of massive scalars, spinors and vectors by employing the on-shell massive spinor formalism. We consider the most general three-particle…

高能物理 - 理论 · 物理学 2022-12-02 Da Liu , Zhewei Yin

Two-particle unitarity-cuts of scattering amplitudes can be efficiently computed by applying Stokes' Theorem, in the fashion of the Generalised Cauchy Theorem. Consequently, the Optical Theorem can be related to the Berry Phase, showing how…

高能物理 - 唯象学 · 物理学 2010-01-20 Pierpaolo Mastrolia

The standard unitarity-cut method is applied to several massive two-dimensional models, including the world-sheet AdS$_5\times S^5$ superstring, to compute $2\to 2$ scattering S-matrices at one loop from tree level amplitudes. Evidence is…

高能物理 - 理论 · 物理学 2014-01-03 Valentina Forini , Lorenzo Bianchi , Ben Hoare

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

The method for functional reduction of Feynman integrals, proposed by the author, is used to calculate one-loop integrals corresponding to diagrams with four external lines. The integrals that emerge from amplitudes for the scattering of…

高能物理 - 唯象学 · 物理学 2023-07-12 O. V. Tarasov

A general formalism for computing only the rational parts of oneloop QCD amplitudes is developed. Starting from the Feynman integral representation of the one-loop amplitude, we use tensor reduction and recursive relations to compute the…

高能物理 - 唯象学 · 物理学 2009-11-11 Zhi-Guang Xiao , Gang Yang , Chuan-Jie Zhu

In this presentation, we describe the GoSam (Golem/Samurai) framework for the automated computation of multi-particle scattering amplitudes at the one-loop level. The amplitudes are generated analytically in terms of Feynman diagrams, and…

We calculate the one-loop QCD virtual corrections to all helicity amplitudes for parton level virtual Compton scattering processes. We include the amplitudes both on quark target process $\gamma^* q\to\gamma q$ and on gluon target process…

高能物理 - 唯象学 · 物理学 2009-11-10 H. W. Huang , T. Morii

We compute the two-loop helicity amplitudes for the scattering of five gluons, including all contributions beyond the leading-color approximation. The analytic expressions are represented as linear combinations of transcendental functions…

高能物理 - 唯象学 · 物理学 2024-05-15 Giuseppe De Laurentis , Harald Ita , Maximillian Klinkert , Vasily Sotnikov

A simple algorithm is presented to decompose any 1-loop amplitude for scattering processes of the class 2 fermions -> 4 fermions into a fixed number of gauge-invariant form factors. The structure of the amplitude is simpler than in the…

高能物理 - 唯象学 · 物理学 2009-11-07 Alessandro Vicini

A method is developed whereby spinor helicity techniques can be used to simplify the calculation of loop amplitudes. This is achieved by using the Feynman-parameter representation where the offending off-shell loop momenta do not appear.…

高能物理 - 唯象学 · 物理学 2009-10-22 C. S. Lam

We review generalized unitarity as a means for obtaining loop amplitudes from on-shell tree amplitudes. The method is generally applicable to both supersymmetric and non-supersymmetric amplitudes, including non-planar contributions. Here we…

高能物理 - 理论 · 物理学 2015-05-27 Zvi Bern , Yu-tin Huang

A method for calculating loop amplitudes at the multiboson threshold is presented, based on Feynman-diagram techniques. We explicitly calculate the one-loop amplitudes in both $\phi^4$-symmetric and broken symmetry cases, using dimensional…

高能物理 - 唯象学 · 物理学 2009-10-22 E. N. Argyres , Ronald H. P. Kleiss , Costas G. Papadopoulos

We compute the one-loop gluon amplitude for the open twistor string model of Berkovits, using a symmetric form of the vertex operators. We discuss the classical solutions in various topologies and instanton sectors and the canonical…

高能物理 - 理论 · 物理学 2010-10-27 Louise Dolan , Peter Goddard

The various sources of Rational Terms contributing to the one-loop amplitudes are critically discussed. We show that the terms originating from the generic (n-4)-dimensional structure of the numerator of the one-loop amplitude can be…

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

We present recent developments on the topic of the integrand reduction of scattering amplitudes. Integrand-level methods allow to express an amplitude as a linear combination of Master Integrals, by performing operations on the…

The success of the experimental program at the Tevatron re-inforced the idea that precision physics at hadron colliders is desirable and, indeed, possible. The Tevatron data strongly suggests that one-loop computations in QCD describe hard…

高能物理 - 唯象学 · 物理学 2015-05-28 R. Keith Ellis , Zoltan Kunszt , Kirill Melnikov , Giulia Zanderighi

We present a semi-numerical algorithm to calculate one-loop virtual corrections to scattering amplitudes. The divergences of the loop amplitudes are regulated using dimensional regularization. We treat in detail the case of amplitudes with…

高能物理 - 唯象学 · 物理学 2008-11-26 R. K. Ellis , W. T. Giele , G. Zanderighi

In the context of constructing one-loop amplitudes using a unitarity bootstrap approach we discuss a general systematic procedure for obtaining the coefficients of the scalar bubble and triangle integral functions of one-loop amplitudes.…

高能物理 - 唯象学 · 物理学 2009-08-07 Darren Forde