Multigluonic scattering amplitudes of heavy quarks

German Rodrigo

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Multigluonic scattering amplitudes of heavy quarks

German Rodrigo

High Energy Physics - Phenomenology · Submitted 11 Aug 2005

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

The authors' main claim Then, we show that in the heavy top quark effective theory the holomorfic component of the Higgs $\to q \bar{q} + n$-gluon amplitude vanish for helicity conserving configurations.

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We consider heavy quark and antiquark off-shell spinorial currents with emission of an arbitrary number of gluons of positive helicity. From this results we calculate the corresponding on-shell scattering amplitude and the quark-antiquark vector current. Then, we show that in the heavy top quark effective theory the holomorfic component of the Higgs $\to q \bar{q} + n$-gluon amplitude vanish for helicity conserving configurations.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We consider heavy quark and antiquark off-shell spinorial currents with emission of an arbitrary number of gluons of positive helicity.	contribution 0.95	0.81	0.05	asserted 0.81
s1	From this results we calculate the corresponding on-shell scattering amplitude and the quark-antiquark vector current.	contribution 0.48	0.94	0.10	asserted 1.00
s2	Then, we show that in the heavy top quark effective theory the holomorfic component of the Higgs $\to q \bar{q} + n$-gluon amplitude vanish for helicity conserving configurations.	result 0.99	0.92	0.64	asserted 1.00

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The paper

Original abstract

We consider heavy quark and antiquark off-shell spinorial currents with emission of an arbitrary number of gluons of positive helicity. From this results we calculate the corresponding on-shell scattering amplitude and the quark-antiquark vector current. Then, we show that in the heavy top quark effective theory the holomorfic component of the Higgs $\to q \bar{q} + n$-gluon amplitude vanish for helicity conserving configurations.

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References

Forward citations

Cited by 8 Pith papers

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

Massive amplitudes on the Coulomb branch of N=4 SYM
hep-th 2011-04 accept novelty 7.0 of 10

Soft-scalar limits of massless N=4 SYM amplitudes reproduce the leading small-mass Coulomb-branch amplitudes, and the paper derives compact all-n tree formulas and a mixed-degree MHV-band superamplitude.
Next-to-Leading Order Predictions for Dark Matter Production at Hadron Colliders
hep-ph 2012-11 conditional novelty 6.0 of 10

Next-to-leading-order QCD corrections raise monojet and monophoton dark matter signal rates by roughly 20 to 150 percent, roughly halve their scale dependence, and tighten LHC limits on the new-physics scale by 5 to 2...
Scattering amplitudes with massive fermions using BCFW recursion
hep-ph 2006-03 accept novelty 6.0 of 10

Massive quark-antiquark to two and three gluon partial helicity amplitudes are expressed in compact spinor-product form using BCFW recursion, with helicity-flip cases treated by Feynman diagrams.
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.
The Rise of SMEFT On-shell Amplitudes
hep-ph 2019-05 conditional novelty 5.0 of 10

A tree-level map connects the 11 bosonic dimension-six SMEFT operators to massive three-point on-shell amplitudes, fixing a basis that determines higher-point amplitudes.

Show 3 more citing papers

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.
Scattering Amplitudes
hep-th 2013-08 accept novelty 2.0 of 10

A graduate-level textbook review that reconstructs the on-shell amplitudes program, from spinor helicity and BCFW recursion through superamplitudes, twistors, Grassmannians, and polytopes, with worked examples and exercises.
An Introduction to On-shell Recursion Relations
hep-th 2011-11 accept novelty 2.0 of 10

A self-contained introduction to BCFW on-shell recursion for tree amplitudes, covering its derivation, its extensions to loops, supersymmetry and three dimensions, and its use to prove the CSW, KK, BCJ and KLT relations.

How the literature uses it

14 arXiv papers cite this in 16 sentences

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Papers citing it · 8 sentences without a confident label

Uses its method or tool 1 paper

The implementation of the Kleiss-Stirling scheme appropriate for the case where we have pairs of massive particles is due to Rodrigo [ref] .

QCD corrections to the hadronic production of a heavy quark pair and a W-boson including decay correlations · Special choice for massive spinors · 0.94

Compares with it 3 papers

Each such split introduces a relative factor of [equation] It follows that we can write the full amplitude as [equation] This should be compared to the known expression for this amplitude [ref] (see also [ref] ), [equation] We have confirmed the equivalence of these two expressions numerically for $n=3,4,5,6$.

The Coulomb-branch S-matrix from massless amplitudes · Examples · 1.00
[ref] , which take [equation] where $|q±⟩$ is a Weyl spinor for an arbitrary null vector $q$, and $p^♭$ is the null projection of $p$ obtained by subtracting a vector proportional to $q$.

The MHV QCD Lagrangian · Massive polarisation spinors · 0.98
As an example of such massive amplitudes, let us present our result for the all-$n$ tower of tree-level $W$-$W$-gluon amplitudes:[ All-$n$ results for certain amplitudes with two massive states have been given previously in the literature [ref] , but in a different representation that involves quite elaborate sums.

Massive amplitudes on the Coulomb branch of N=4 SYM · Introduction · 0.94

Cites it as background 4 papers

One could ask the question whether similar techniques can be used in QCD, whether they are of any practical use, and in fact to which degree they were already included in previous work, such as for example at the foundation of parton shower algorithms (new or well established) [ref] or for other, fundamental or phenomenological applications [ref] .

Gauge invariant sub-structures of tree-level double-emission exact QCD spin amplitudes · Introduction · 0.96
The application to massive particles is less explored, although processes involving massive quarks were calculated in [ref] and massive gauge bosons in [ref] .

The Rise of SMEFT On-shell Amplitudes · Introduction · 0.86
The spinor-helicity method applied to massive fermions has been well studied and we refer the reader to Refs. [ref] for further details and other approaches.

Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel · Helicity amplitudes for massive fermions · 1.00

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