Automated one-loop calculations: a proof of concept

By A. Hameren, Costas G. Papadopoulos, R. Pittau. 2009

228 citations recorded by the source corpus.

An algorithm, based on the OPP reduction method, to automatically compute any one-loop amplitude, for all momentum, color and helicity configurations of the external particles, is presented. It has been implemented using the tree-order matrix element code HELAC and the OPP reduction code CutTools. As a demonstration of the potential of the current implementation, results for all sub-processes included in the 2007 Les Houches wish list for LHC, are presented.

Subfields: Electrical and Electronic Engineering, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f32a00d7546ef49054cafdc8e267e5c6747d88c3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Electrical and Electronic Engineering

In Nuclear and High Energy Physics

Citations in the corpus

MadGraph 5: going beyond (2011, methodology): “For virtual corrections, several new algorithms for numerical calculation of loop amplitudes have been proposed (see, e.g. , [25] for a review) and some of them successfully applied to the computation of SM processes of physical interest [26, 27, 28, 29, 30].”
On-the-fly reduction of open loops (2017, background): “ve gauge bosons, {0} for scalars, (11) where we do not include unpolarised states. Finally, the global helicity space for the full set of scattering particles, H3h, is deﬁned as H= H¯ 1 ⊗···⊗H¯ N p , (12) where the product is understood as A⊗B= {a+b|a∈ A,b∈B}. 2.2 Tree amplitudes At tree level, each”
String formation beyond leading colour (2015, background): “Furthermore, two colour indices are allowed to sum coherently to a single anticolour index within three separate closed index groups: [1,4,7], [2,5,8], and [3,6,9].”
UFO - The Universal FeynRules Output (2011, methodology): “…made in the automation of the computation of next-to-leading order matrix elements, both regarding the generation of the real corrections with the appropriate subtraction terms [31,32,33,34,35,36], and the development of algorithms for calculating loop amplitudes numerically [37,38,39,40,41,42].”
MadAnalysis 5, a user-friendly framework for collider phenomenology (2012, methodology): “ral algorithms addressing the numerical calculation of loop amplitudes have been proposed [22, 23, 24, 25] and successfully applied to the computation of Standard Model processes of physical interest [26, 27, 28, 29, 30]. Even if each of the above-mentioned tools is based on a diﬀerent philosophy, u”
A comprehensive approach to new physics simulations (2009, methodology): “rithms for calculating loop amplitudes numerically have been proposed (see, e.g., Ref. [22] for a review) and some of them successfully applied to the computation of SM processes of physical interest [23, 24, 25]. An accurate simulation of a hadronic collision requires a careful integration of the m”
Automated one-loop calculations with GoSam (2011, background): “dopoulos, and M. Worek, “Dominant QCD Backgrounds in Higgs Boson Analyses at the LHC: A Study of pp → t anti-t + 2 jets at Next-To-Leading Order”, Phys.Rev.Lett. 104(2010) 162002, arXiv:1002.4009. 60 [16] T. Binoth, N. Greiner, A. Guﬀanti, J. Reuter, J.-P. Guillet, et al., “Next-to-leading order QCD”