Fermions and the scattering equations

Weinzierl, Stefan

doi:10.1007/jhep03(2015)141

Cited by 31 publications

(23 citation statements)

References 85 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(For an alternative discussion of amplitudes with fermions, see also ref. [11].) This transcription was shown to be possible once all tachyonic modes had been made to cancel explicitly in the integrand by means of integrations by parts.…”

Section: Introductionmentioning

confidence: 98%

Integration rules for scattering equations

Baadsgaard

Bjerrum-Bohr

Bourjaily

et al. 2015

J. High Energ. Phys.

142

View full text Add to dashboard Cite

As described by Cachazo, He and Yuan, scattering amplitudes in many quantum field theories can be represented as integrals that are fully localized on solutions to the so-called scattering equations. Because the number of solutions to the scattering equations grows quite rapidly, the contour of integration involves contributions from many isolated components. In this paper, we provide a simple, combinatorial rule that immediately provides the result of integration against the scattering equation constraints for any Möbius-invariant integrand involving only simple poles. These rules have a simple diagrammatic interpretation that makes the evaluation of any such integrand immediate. Finally, we explain how these rules are related to the computation of amplitudes in the field theory limit of string theory.

show abstract

Section: Introductionmentioning

confidence: 98%

Integration rules for scattering equations

Baadsgaard

Bjerrum-Bohr

Bourjaily

et al. 2015

J. High Energ. Phys.

142

View full text Add to dashboard Cite

show abstract

“…We may ask, if this separation of information exists for other cyclic ordered amplitudes. It is known that this is the case for tree amplitudes in N = 4 super-Yang-Mills theories (SYM) and for tree amplitudes in QCD with one massless quark-anti-quark pair and an arbitrary number of gluons [14]. These amplitudes satisfy as the pure gluon amplitudes cyclic invariance, the Kleiss-Kuijf relations [37] and the Bern-Carrasco-Johansson relations (BCJ relations) [38].…”

Section: Jhep11(2015)217mentioning

confidence: 99%

“…In the gluon case, the permutation invariant function E(z, p, ε) can be written as a (reduced) Pfaffian. The CHY representation has triggered significant interest in the community [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. In addition, there are interesting connections with string theory [23][24][25][26][27][28][29][30] and gravity [31][32][33][34][35][36].…”

Section: Jhep11(2015)217mentioning

confidence: 99%

“…These amplitudes will require in addition to the generalisationÊ(z, p, ε) of the permutation invariant function a generalisationĈ(w, z) of the standard Parke-Taylor factor. For the simplest case of the QCD tree-level four-point amplitude A 4 (q, q,q ′ , q ′ ) with two quark-antiquark pairs this has been discussed in [14]. However, what is still missing is a treatment of an arbitrary tree-level primitive QCD amplitude.…”

Section: Jhep11(2015)217mentioning

confidence: 99%

“…Putting everything together, we arrive along the lines of ref. [14] at the definition of the generalised permutation invariant function…”

Section: Jhep11(2015)217mentioning

confidence: 99%

See 2 more Smart Citations

The CHY representation of tree-level primitive QCD amplitudes

Cruz

Kniss

Weinzierl

2015

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

In this paper we construct a CHY representation for all tree-level primitive QCD amplitudes. The quarks may be massless or massive. We define a generalised cyclic factorĈ(w, z) and a generalised permutation invariant functionÊ(z, p, ε). The amplitude is then given as a contour integral encircling the solutions of the scattering equations with the productĈÊ as integrand. Equivalently, it is given as a sum over the inequivalent solutions of the scattering equations, where the summand consists of a Jacobian times the productĈÊ. This representation separates information: The generalised cyclic factor does not depend on the helicities of the external particles, the generalised permutation invariant function does not depend on the ordering of the external particles.

show abstract

Aspects of Scattering Amplitudes and Moduli Space Localization

Mizera¹

2020

Springer Theses

174

View full text Add to dashboard Cite

the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

show abstract

Fermions and the scattering equations

Cited by 31 publications

References 85 publications

Integration rules for scattering equations

Integration rules for scattering equations

The CHY representation of tree-level primitive QCD amplitudes

Aspects of Scattering Amplitudes and Moduli Space Localization

Contact Info

Product

Resources

About