publication . Preprint . Article . 2005

Loop Amplitudes in Pure Yang-Mills from Generalised Unitarity

Andreas Brandhuber; Simon McNamara; Bill Spence; Gabriele Travaglini;
Open Access English
  • Published: 09 Jun 2005
We show how generalised unitarity cuts in D = 4 - 2 epsilon dimensions can be used to calculate efficiently complete one-loop scattering amplitudes in non-supersymmetric Yang-Mills theory. This approach naturally generates the rational terms in the amplitudes, as well as the cut-constructible parts. We test the validity of our method by re-deriving the one-loop ++++, -+++, --++, -+-+ and +++++ gluon scattering amplitudes using generalised quadruple cuts and triple cuts in D dimensions.
Persistent Identifiers
free text keywords: High Energy Physics - Theory, High Energy Physics - Phenomenology, Nuclear and High Energy Physics, Scattering amplitude, Yang–Mills existence and mass gap, Unitarity, Gauge symmetry, Gluon, Physics, Amplitude, Quantum electrodynamics
38 references, page 1 of 3

[1] E. Witten, Perturbative gauge theory as a string theory in twistor space, Commun. Math. Phys. 252, 189 (2004), hep-th/0312171.

[2] R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons, Nucl. Phys. B 715, 499 (2005) hep-th/0412308.

[3] R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory, hep-th/0501052.

[4] L. D. Landau, On Analytic Properties Of Vertex Parts In Quantum Field Theory, Nucl. Phys. 13 (1959) 181.

[5] R. E. Cutkosky, Singularities And Discontinuities Of Feynman Amplitudes, J. Math. Phys. 1 (1960) 429.

[6] R. J. Eden, P. V. Landshoff, D. I. Olive and J. C. Polkinghorne, The Analytic SMatrix, Cambridge University Press, 1966.

[7] J. Bedford, A. Brandhuber, B. Spence and G. Travaglini, A recursion relation for gravity amplitudes, Nucl. Phys. B (in press), hep-th/0502146.

[17] F. Cachazo, P. Svrˇcek and E. Witten, MHV vertices and tree amplitudes in gauge theory, JHEP 0409, 006 (2004) hep-th/0403047. [OpenAIRE]

[19] G. Georgiou and V. V. Khoze, Tree amplitudes in gauge theory as scalar MHV diagrams, JHEP 0405, 070 (2004), hep-th/0404072. [OpenAIRE]

[20] J. B. Wu and C. J. Zhu, MHV vertices and scattering amplitudes in gauge theory, JHEP 0407, 032 (2004) hep-th/0406085.

[21] J. B. Wu and C. J. Zhu, MHV vertices and fermionic scattering amplitudes in gauge theory with quarks and gluinos, JHEP 0409, 063 (2004) hep-th/0406146.

[22] G. Georgiou, E. W. N. Glover and V. V. Khoze, Non-MHV tree amplitudes in gauge theory, JHEP 0407, 048 (2004) hep-th/0407027. [OpenAIRE]

[23] L. J. Dixon, E. W. N. Glover and V. V. Khoze, MHV rules for Higgs plus multi-gluon amplitudes, JHEP 0412 (2004) 015, hep-th/0411092.

[24] Z. Bern, D. Forde, D. A. Kosower and P. Mastrolia, Twistor-inspired construction of electroweak vector boson currents, hep-ph/0412167.

[25] N. Berkovits and E. Witten, Conformal supergravity in twistor-string theory, JHEP 0408, 009 (2004), hep-th/0406051. [OpenAIRE]

38 references, page 1 of 3
Any information missing or wrong?Report an Issue