Massive particles and unitarity cuts

Edoardo Mirabella; Ruth Britto

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Massive particles and unitarity cuts

Ruth Britto, Edoardo Mirabella

High Energy Physics - Phenomenology · Submitted 11 Feb 2012

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

The authors' main claim We present an extension of the spinor integration formalism of one loop amplitudes from the double-cut to the single-cut case.

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We present an extension of the spinor integration formalism of one loop amplitudes from the double-cut to the single-cut case. This technique can be applied for the computation of the tadpole coefficients. Moreover we describe an off-shell continuation of one loop amplitudes that allows a finite evaluation of the unitarity cuts in the channel of a single massive external fermion.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We present an extension of the spinor integration formalism of one loop amplitudes from the double-cut to the single-cut case.	contribution 1.00	0.94	0.51	asserted 1.00
s1	This technique can be applied for the computation of the tadpole coefficients.	contribution 0.65	0.56	0.12	hedged possibility 0.76
s2	Moreover we describe an off-shell continuation of one loop amplitudes that allows a finite evaluation of the unitarity cuts in the channel of a single massive external fermion.	contribution 0.77	0.91	0.29	asserted 0.99

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from proof or derivation 0.99.

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The paper

Original abstract

We present an extension of the spinor integration formalism of one loop amplitudes from the double-cut to the single-cut case. This technique can be applied for the computation of the tadpole coefficients. Moreover we describe an off-shell continuation of one loop amplitudes that allows a finite evaluation of the unitarity cuts in the channel of a single massive external fermion.

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2 arXiv papers cite this in 3 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

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Uses its method or tool 1 paper

One can use the technique developed in [ref] or the familiar IBP method to calculate them to complete the whole reduction program for higher poles.

Reduction of one-loop integrals with higher poles by unitarity cut method · Conclusion · 0.95

What it cites · 5 sentences without a confident label

Builds on 10 papers

In this section we describe an extension of the formalism for explicit evaluation of double cuts [ref] to the single cut case [ref] .

Integral Coefficients for One-Loop Amplitudes · Single cut integration · 0.97
In this section we describe an extension of the formalism for explicit evaluation of double cuts [ref] to the single cut case [ref] .

Closed-Form Decomposition of One-Loop Massive Amplitudes · Single cut integration · 0.97
In this section we describe an extension of the formalism for explicit evaluation of double cuts [ref] to the single cut case [ref] .

Unitarity Method with Spurious Pole · Single cut integration · 0.97

Uses the method or tool of 2 papers

The momenta $n$, $ℓ_7$ and $ℓ_8$ are defined [ref] to satisfy the conditions [equation] Applying the single cut operator $Δ_D_0$ and selecting the $Λ^2 t$ terms only, we get [equation] The coefficients $α_i=1,⋯,4$ are the coordinates of $R$ in the basis ${ K_1, n, ℓ_7, ℓ_8 }$.

Reducing full one-loop amplitudes to scalar integrals at the integrand level · Computation of tadpole coefficients · 0.96
The integration over $z$ and $z̅$ will be performed by the Generalized Cauchy Formula as described in [ref] .

Double-Cut of Scattering Amplitudes and Stokes' Theorem · Single cut integration · 0.99

Cites as background 21 papers

More detailed discussions can be found elsewhere [ref] .

External leg corrections in the unitarity method · Introduction · 0.97
More detailed discussions can be found elsewhere [ref] .

Single Cut Integration · Introduction · 0.97
Recent years have seen rapid progress in computing one-loop amplitudes, due largely to the use of generalized unitarity methods [ref] .

All Non-Maximally-Helicity-Violating One-Loop Seven-Gluon Amplitudes in N=4 Super-Yang-Mills Theory · Introduction · 0.98

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