Seven gluon scattering amplitude

These are the mathematica expressions of the N=1 NMHV components of the seven-gluon one-loop amplitude to accompany the article

``The Unitarity Method using a Canonical Basis Approach'', Dunbar, Perkins and Warrick , arXiv:0903.1751 [hep-ph]


indicated in green below.
Information about the Mathematica files . It is intended to update and correct these files (if necessary).
Helicity Amplitude N=4 N=1 Scalar:C Scalar:R Math file
A(+++++++) - - - [1994]2 .
A(-++++++) - - - [1993]1 .
A(--+++++) [1994]3 [1994]4 [1994] 4 [2005] 10 .
A(-+-++++) [1994]3 [1994]4 [2005]7 [2006]11 .
A(-++-+++) [1994]3 [1994]4 [2005]7 [2006]11 .
A(---++++) [2005]5 [2005]8 [2005]9 [2006]12 .
A(--+-+++) [2005]6 [2009]13 N=1
A(--++-++) [2005]6 [2009]13 N=1
A(-+-+-++) [2005]6 [2009]13 N=1
The various Helicity amplitudes were first calculated in the following papers with the dates indicated (to the best of my knowledge).
  1. G. Mahlon, ``Multi - Gluon Helicity Amplitudes Involving A Quark Loop,'' Phys.Rev. D49 (1994) 4438 [hep-ph/9312276].
  2. Z. Bern, G. Chalmers, L. J. Dixon and D. A. Kosower, `One loop N gluon amplitudes with maximal helicity violation via collinear limits,'' Phys.Rev.Lett.72 (1994) 2134 [hep-ph/9312333].
  3. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, ``One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits,'' Nucl.Phys. B425 1994 217, [hep-ph/9403226],
  4. Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, ``Fusing gauge theory tree amplitudes into loop amplitudes,'' Nucl.Phys. B435 (1995) 59 [hep-ph/9409265].
  5. R.Britto, F.Cachazo and B.Feng, ``Computing one-loop amplitudes from the holomorphic anomaly of unitaritycuts,'' Phys. Rev. D 71 (2005) 025012 [arXiv:hep-th/0410179].
  6. Z.Bern, V.Del Duca, L.J.Dixon and D.A. Kosower, ``All non-maximally-helicity-violating one-loop seven-gluon amplitudes in N= 4 super-Yang-Mills theory,'' Phys. Rev. D71 (2005) 045006 [arXiv:hep-th/0410224].
  7. J. Bedford, A. Brandhuber, B. J. Spence and G. Travaglini, ``Non-supersymmetric loop amplitudes and MHV vertices,'' Nucl.Phys. B712 (2005) 59 [hep-th/0412108].
  8. S.J.Bidder, N.E.J. Bjerrum-Bohr, D.C. Dunbar and W.B. Perkins, ``One-loop gluon scattering amplitudes in theories with N < 4 supersymmetries,'' Phys. Lett. B612 (2005) 75 [arXiv:hep-th/0502028].
  9. Z. Bern, N.E.J. Bjerrum-Bohr, D.C. Dunbar and H.Ita, ``Recursive calculation of one-loop QCD integral coefficients,'' JHEP 0511 (2005) 027 [arXiv:hep-ph/0507019].
  10. D. Forde and D.A. Kosower, ``All-multiplicity one-loop corrections to MHV amplitudes in QCD,'' Phys. Rev. D73 (2006) 061701 [arXiv:hep-ph/0509358].
  11. C.F.Berger, Z. Bern, L.J. Dixon, D. Forde and D. A. Kosower, ``All One-loop Maximally Helicity Violating Gluonic Amplitudes in QCD,'' Phys. Rev. D75 (2007) 016006 [arXiv:hep-ph/0607014].
  12. C.F. Berger, Z. Bern, L.J. Dixon, D. Forde and D.A. Kosower, ``Bootstrapping one-loop QCD amplitudes with general helicities,'' Phys. Rev. D74(2006) 036009 [arXiv:hep-ph/0604195].
  13. D.C. Dunbar, W.B. Perkins and E. Warrick ``The Unitarity Method using a Canonical Basis Approach'', arXiv:0903.1751 [hep-ph]
    See also the six gluon amplitudes
    These pages were prepared by Dave Dunbar , Warren Perkins and Ed Warrick Last update 10th March 09.