On-shell methods in perturbative QCD

Z Bern, LJ Dixon, DA Kosower - Annals of Physics, 2007 - Elsevier
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 …

Hard interactions of quarks and gluons: a primer for LHC physics

JM Campbell, JW Huston… - Reports on Progress in …, 2006 - iopscience.iop.org
In this paper, we will develop the perturbative framework for the calculation of hard-
scattering processes. We will undertake to provide both a reasonably rigorous development …

Automated implementation of on-shell methods for one-loop amplitudes

CF Berger, Z Bern, LJ Dixon, FF Cordero, D Forde… - Physical Review D …, 2008 - APS
We present the first results from BlackHat, an automated C++ program for calculating one-
loop amplitudes. The program implements the unitarity method and on-shell recursion to …

Two-loop integrand decomposition into master integrals and surface terms

H Ita - Physical Review D, 2016 - APS
Loop amplitudes are conveniently expressed in terms of master integrals whose coefficients
carry the process dependent information. Similarly before integration, the loop integrands …

Standard Model EFTs via on-shell methods

MA Huber, S De Angelis - Journal of High Energy Physics, 2021 - Springer
A bstract We present the Standard Model Effective Field Theories (SMEFT) from purely on-
shell arguments. Starting from few basics assumptions such as Poincaré invariance and …

Assault on the NLO Wishlist: pp→ ttbb

G Bevilacqua, M Czakon… - Journal of High …, 2009 - iopscience.iop.org
We present the results of a next-to-leading order calculation of QCD corrections to the
production of an on-shell top-anti-top quark pair in association with two flavored b-jets …

Direct extraction of one-loop integral coefficients

D Forde - Physical Review D—Particles, Fields, Gravitation, and …, 2007 - APS
We present a general procedure for obtaining the coefficients of the scalar bubble and
triangle integral functions of one-loop amplitudes. Coefficients are extracted by considering …

Uniqueness of two-loop master contours

S Caron-Huot, KJ Larsen - Journal of High Energy Physics, 2012 - Springer
A bstract Generalized-unitarity calculations of two-loop amplitudes are performed by
expanding the amplitude in a basis of master integrals and then determining the coefficients …

NLO QCD corrections to top anti-top bottom anti-bottom production at the LHC: 2. Full hadronic results

A Bredenstein, A Denner, S Dittmaier… - arxiv preprint arxiv …, 2010 - arxiv.org
We present predictions for top anti-top bottom anti-bottom production at the LHC in next-to-
leading order QCD. The precise description of this background process is a prerequisite to …

Maximally supersymmetric planar Yang-Mills amplitudes at five loops

Z Bern, JJM Carrasco, H Johansson… - Physical Review D …, 2007 - APS
We present an Ansatz for the planar five-loop four-point amplitude in maximally
supersymmetric Yang-Mills theory in terms of loop integrals. This Ansatz exploits the recently …