Single bremsstrahlung processes in gauge theories

Berends, F.A.; Kleiss, R.; Causmaecker, Patrick De; Gastmans, R.; Wu, Tai Tsun

doi:10.1016/0370-2693(81)90685-7

Cited by 428 publications

(456 citation statements)

References 16 publications

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“…Third, we only briefly discussed the spinor-helicity methods [140] that play an important role in analytical computations of tree amplitudes. In particular, those methods tend to provide very compact expressions for tree amplitudes when external particles are in definite helicity states.…”

Section: Discussionmentioning

confidence: 99%

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One-loop calculations in quantum field theory: From Feynman diagrams to unitarity cuts

et al. 2012

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The success of the experimental program at the Tevatron re-inforced the idea that precision physics at hadron colliders is desirable and, indeed, possible. The Tevatron data strongly suggests that one-loop computations in QCD describe hard scattering well. Extrapolating this observation to the LHC, we conclude that knowledge of many short-distance processes at next-to-leading order may be required to describe the physics of hard scattering. While the field of oneloop computations is quite mature, parton multiplicities in hard LHC events are so high that traditional computational techniques become inefficient. Recently new approaches based on unitarity have been developed for calculating one-loop scattering amplitudes in quantum field theory. These methods are especially suitable for the description of multi-particle processes in QCD and are amenable to numerical implementations. We present a systematic pedagogical description of both conceptual and technical aspects of the new methods.

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Section: Discussionmentioning

confidence: 99%

“…However QCD contains massless gluons and, at energies much larger than their masses, quarks can also be considered massless. Considerable simplification can be achieved in massless amplitudes by the use of spinor helicity methods [140,154]. These methods, as they apply to tree diagrams, have been extensively reviewed in refs.…”

mentioning

confidence: 99%

One-loop calculations in quantum field theory: From Feynman diagrams to unitarity cuts

et al. 2012

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“…It is convenient to encode all the information in terms of spinor variables using the spinor-helicity formalism [38,39,40]. Each momentum vector can be written as a bispinor p aȧ = λ aλȧ .…”

Section: Preliminaries and Conventionsmentioning

confidence: 99%

Taming tree amplitudes in general relativity

Benincasa

Boucher-Veronneau

Cachazo

2007

J. High Energy Phys.

164

260

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Abstract:We give a proof of BCFW recursion relations for all tree-level amplitudes of gravitons in General Relativity. The proof follows the same basic steps as in the BCFW construction and it is an extension of the one given for next-to-MHV amplitudes by one of the authors and P. Svrček in hep-th/0502160. The main obstacle to overcome is to prove that deformed graviton amplitudes vanish as the complex variable parameterizing the deformation is taken to infinity. This step is done by first proving an auxiliary recursion relation where the vanishing at infinity follows directly from a Feynman diagram analysis. The auxiliary recursion relation gives rise to a representation of gravity amplitudes where the vanishing under the BCFW deformation can be directly proven. Since all our steps are based only on Feynman diagrams, our proof completely establishes the validity of BCFW recursion relations. This means that results in the literature that were derived assuming their validity become true statements.

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“…For small numbers of photons, this could be easily worked out for arbitrary assignments, using standard techniques such as the spinor helicity formalism [65,66,67,68,36]. In this formalism, a polarisation vector with circular polarisation '±' for a photon with momentum k is written as…”

Section: The All '+' Helicity Amplitudes In the Euler-heisenberg Apprmentioning

confidence: 99%

Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes

Dunne¹,

Schubert²

2002

J. High Energy Phys.

117

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We show that, for both scalar and spinor QED, the two-loop Euler-Heisenberg effective Lagrangian for a constant Euclidean self-dual background has an extremely simple closed-form expression in terms of the digamma function. Moreover, the scalar and spinor QED effective Lagrangians are very similar to one another. These results are dramatic simplifications compared to the results for other backgrounds. We apply them to a calculation of the low energy limits of the two-loop massive N-photon 'all +' helicity amplitudes. The simplicity of our results can be related to the connection between self-duality, helicity and supersymmetry.

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Single bremsstrahlung processes in gauge theories

Cited by 428 publications

References 16 publications

One-loop calculations in quantum field theory: From Feynman diagrams to unitarity cuts

One-loop calculations in quantum field theory: From Feynman diagrams to unitarity cuts

Taming tree amplitudes in general relativity

Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes

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