Multiloop gluon amplitudes in pure gauge theories

Roland, Kaj

doi:10.1016/0370-2693(92)91377-l

Cited by 31 publications

(30 citation statements)

References 23 publications

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“…Similar observations have led to the conjecture that the string organization may be understood entirely in terms of a field theory analysis, and in fact in some instances this has been shown [11,12,13]. However, in view of a possible multiloop generalization of the known results [14], we believe that further input from string theory may prove necessary.…”

Section: Introductionmentioning

confidence: 95%

String techniques for the calculation of renormalization constants in field theory

et al. 1996

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We describe a set of methods to calculate gauge theory renormalization constants from string theory, all based on a consistent prescription to continue off shell open bosonic string amplitudes. We prove the consistency of our prescription by explicitly evaluating the renormalizations of the two, three and four-gluon amplitudes, and showing that they obey the appropriate Ward identities. The field theory limit thus performed corresponds to the background field method in Feynman gauge. We identify precisely the regions in string moduli space that correspond to different classes of Feynman diagrams, and in particular we show how to isolate contributions to the effective action. Ultraviolet divergent terms are then encoded in a single string integral over the modular parameter τ . Finally, we derive a multiloop expression for the effective action by computing the partition function of an open bosonic string interacting with an external non-abelian background gauge field. *

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Section: Introductionmentioning

confidence: 95%

String techniques for the calculation of renormalization constants in field theory

et al. 1996

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“…Combining these results with the ones for five gluons [3] and four quarks and one gluon [4], this completes the set of one-loop amplitudes required for calculating next-to-leading order corrections to three-jet production at hadron colliders. The computation made use of a number of techniques, including spinor helicity [8], color decompositions [5,9,10], string-based methods [12,14], supersymmetry methods [15,3,17,18], improved gauge choices [30,31,13], perturbative unitarity [20,21], and collinear limits [38,6,23,39].…”

Section: Discussionmentioning

confidence: 99%

“…Many methods developed in recent years can be used to simplify the computation of oneloop multi-parton amplitudes, including spinor helicity methods [8], color decomposition of amplitudes [5,9,10], string-based techniques [11,12,13,14,3], supersymmetry Ward identities [15,16], supersymmetry-based decompositions [3,17,18], and perturbative unitarity [19,20,21]; all of these techniques have been used to obtain the amplitudes presented in this paper.…”

Section: Introductionmentioning

confidence: 99%

One-loop corrections to two-quark three-gluon amplitudes

Bern

Dixon

Kosower³

1995

Nuclear Physics B

239

316

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We present the one-loop QCD amplitudes for two external massless quarks and three external gluons (qqggg). This completes the set of one-loop amplitudes needed for the next-to-leading-order corrections to three-jet production at hadron colliders. We also discuss how to use group theory and supersymmetry to minimize the amount of calculation required for the more general case of one-loop two-quark n-gluon amplitudes. We use collinear limits to provide a stringent check on the amplitudes.

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“…Two-loop amplitudes are formidable calculations in general. Progress towards a string based or string inspired method has been made both based upon the infinite string tension limit [36] and upon the world-line formalism [37]. In any formalism we expect unitarity to provide very useful checks upon the calculations as evidenced by the simplicity by which we obtained the cuts in A 2−loop (+ + ++) (albeit the simplest case possible).…”

Section: The Cuts In a 2−loop (+ + + +)mentioning

confidence: 99%

Calculation of graviton scattering amplitudes using string-based methods

1995

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Techniques based upon the string organisation of amplitudes may be used to simplify field theory calculations. We apply these techniques to perturbative gravity and calculate all one-loop amplitudes for four-graviton scattering with arbitrary internal particle content. Decomposing the amplitudes into contributions arising from supersymmetric multiplets greatly simplifies these calculations. We also discuss how unitarity may be used to constrain the amplitudes.

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Multiloop gluon amplitudes in pure gauge theories

Cited by 31 publications

References 23 publications

String techniques for the calculation of renormalization constants in field theory

String techniques for the calculation of renormalization constants in field theory

One-loop corrections to two-quark three-gluon amplitudes

Calculation of graviton scattering amplitudes using string-based methods

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