All-Multiplicity One-Loop Corrections to MHV Amplitudes in QCD

Darren Forde; David A. Kosower

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All-Multiplicity One-Loop Corrections to MHV Amplitudes in QCD

Darren Forde, David A. Kosower

High Energy Physics - Phenomenology · Submitted 29 Sep 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We compute the complete one-loop corrections to the simplest class of QCD gluon amplitudes, those with two color-adjacent opposite-helicity external particles.

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We compute the complete one-loop corrections to the simplest class of QCD gluon amplitudes, those with two color-adjacent opposite-helicity external particles. We present results for an arbitrary number of external legs. The computation uses the recently-developed on-shell recursion relations for the rational parts, along with older unitarity-based results for the cut-containing terms.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We compute the complete one-loop corrections to the simplest class of QCD gluon amplitudes, those with two color-adjacent opposite-helicity external particles.	contribution 0.98	0.96	0.62	asserted 1.00
s1	We present results for an arbitrary number of external legs.	result 0.62	0.91	0.15	asserted 1.00
s2	The computation uses the recently-developed on-shell recursion relations for the rational parts, along with older unitarity-based results for the cut-containing terms.	method 1.00	0.67	0.05	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.80.

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The paper

Original abstract

We compute the complete one-loop corrections to the simplest class of QCD gluon amplitudes, those with two color-adjacent opposite-helicity external particles. We present results for an arbitrary number of external legs. The computation uses the recently-developed on-shell recursion relations for the rational parts, along with older unitarity-based results for the cut-containing terms.

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References

Forward citations

Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Direct extraction of one-loop integral coefficients
hep-ph 2007-04 accept novelty 7.0 of 10

The coefficients of scalar bubble and triangle one-loop integrals can be read directly from the constant term in the large-parameter expansion of the corresponding unitarity-cut integrand.
Bootstrapping One-Loop QCD Amplitudes with General Helicities
hep-ph 2006-04 conditional novelty 7.0 of 10

The authors introduce paired on-shell recursion relations that determine large-shift contributions, yielding new analytic six-gluon and recursive n-gluon one-loop QCD amplitudes with three or four adjacent negative-he...
Numerical evaluation of virtual corrections to multi-jet production in massless QCD
hep-ph 2012-09 accept novelty 6.0 of 10

A publicly released C++ library computes full-colour, helicity-summed one-loop QCD amplitudes for up to seven external partons, validated against four independent codes and against analytic formulae.
On the Numerical Evaluation of One-Loop Amplitudes: the Gluonic Case
hep-ph 2008-05 accept novelty 6.0 of 10

A numerical algorithm and program compute one-loop pure-gluon amplitudes for arbitrary multiplicity with evaluation time growing as the ninth power of the number of gluons, checked against analytic results up to twent...
An Automated Implementation of On-Shell Methods for One-Loop Amplitudes
hep-ph 2008-03 conditional novelty 6.0 of 10

An automated numerical program reproduces known one-loop six-, seven- and eight-gluon QCD amplitudes, with per-point evaluation times under 120 ms and controlled numerical stability.

Show 5 more citing papers

The Cut-Constructible Part of QCD Amplitudes
hep-ph 2006-02 conditional novelty 6.0 of 10

The authors complete the cut-constructible part of the one-loop six-gluon QCD amplitude by turning unitarity-cut integrals into algebraic residue extraction.
NGluon: A Package to Calculate One-loop Multi-gluon Amplitudes
hep-ph 2010-11 conditional novelty 5.0 of 10

The authors release and validate a public C++ library that evaluates one-loop n-gluon amplitudes numerically, reporting reliable double-precision results up to 14 gluons.
Direct Extraction Of One Loop Rational Terms
hep-ph 2008-06 conditional novelty 5.0 of 10

Rational terms in one-loop QCD amplitudes can be extracted directly from quadruple, triple and double cuts by taking a large effective-mass limit, with no separate pentagon contributions.
The NLO multileg working group: summary report
hep-ph 2008-03 accept novelty 3.0 of 10

The Les Houches 2007 NLO multileg working group reports progress on automated one-loop amplitude methods, a three-way comparison of WW+jet calculations, and the remaining gaps in the LHC theory wishlist.
Hard Interactions of Quarks and Gluons: a Primer for LHC Physics
hep-ph 2006-11 accept novelty 2.0 of 10

A pedagogical review of perturbative QCD for hadron colliders that lays out the factorization formalism, the role of large logarithms and coupling power counting, and benchmark predictions for the LHC.

How the literature uses it

9 arXiv papers cite this in 11 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 7 sentences without a confident label

Uses its method or tool 2 papers

In this paper, we exploit the unitarity bootstrap approach [ref] which meshes together the calculation of the cut-constructible parts of an amplitude (via generalised unitarity, one-loop MHV rules etc.) with the ability of the BCFW recursion relations to calculate the rational pieces.

One-loop phi-MHV amplitudes using the unitarity bootstrap: the general helicity case · Introduction · 1.00
We will therefore calculate the remaining rational terms in $A^(1)_n(ϕ,1^-,2^-,…,n^+)$ using on-shell recursion relations that have been successful in both QCD [ref] and for the finite amplitudes involving the $ϕ$ field [ref] .

One-loop phi-MHV amplitudes using the unitarity bootstrap · The rational contributions · 0.92

Compares with it 1 paper

([ref]) used to construct both the orthonormal basis and the polarization vectors; * we verified that our results are independent of the choice of dimensionality of the cut lines; * for six gluons we compared all one-loop helicity amplitudes with the numerical results of [ref] ; * for up to twenty gluons we compared with the analytically known one-loop helicity amplitudes where all gluons have positive helicities [ref] ; * for up to twenty gluons we compared with the analytically known one-loop helicity amplitudes where all but one gluon have positive helicities [ref] ; * for up to twenty gluons we compared with the analytically known one-loop helicity amplitudes where all but two adjacent gluons have positive helicities [ref] .

On the Numerical Evaluation of One-Loop Amplitudes: the Gluonic Case · Checks of the Results · 0.96

Cites it as background 1 paper

There exist general expressions for the MHV scalar amplitudes [ref] .

One-Loop Six Gluon Amplitude · $A^[0](–++++)$ · 0.94

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