Six gluon scattering amplitude

These are the mathematica expressions of the various terms in the six-gluon amplitude

They are accompanying the article ''The Six Gluon One-Loop Amplitude'' which appears in the proceedings of the conference ``Loops and Legs in Quantum Field Theory'' which took place in Sondershausen 20-25 April 2008.
Information about the Mathematica files
It is intended to keep this web-site up to date with any corrections (hopefully none ). A list of the changes made will be kept here
Helicity Amplitude N=4 N=1 Scalar:C Scalar:R Math file
A(++++++) - - - [1993]2 Complete
A(-+++++) - - - [1994]1 Complete
A(--++++) [1994]3 [1994]4 [1994]4 [2005] 8 Complete
A(-+-+++) [1994]3 [1994]4 [2004]6 [2006]12 Complete
A(-++-++) [1994]3 [1994]4 [2004]6 [2006]12 Complete
A(---+++) [1994]4 [2004]5 [2005]9 [2006]11 Complete
A(--+-++) [1994]4 [2005]7 [2005] 10 [2006] 13 N=4 and N=1 complete
A(-+-+-+) [1994]4 [2005]7 [2005]10 [2006] 13 N=4 and N=1 complete
The Mathematica files can be checked against numerical calculations of Ellis, Giele and Zanderighi, JHEP 6506 027 2006 hep-ph:0602185 , using this code
Please fell free to use these files. Citations should be to the conference proceeding PLUS of course the original papers.
  1. G. Mahlon, ``Multi - Gluon Helicity Amplitudes Involving A Quark Loop,'' Phys.Rev. D {49 (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. B 425 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. B 435 (1995) 59 [hep-ph/9409265].
  5. S. J. Bidder, N. E. J. Bjerrum-Bohr, L. J. Dixon and D. C. Dunbar, ``N = 1 supersymmetric one-loop amplitudes and the holomorphic anomaly of unitarity cuts,'' Phys.Lett.B 606, 189 (2005) [hep-th/0410296].
  6. J. Bedford, A. Brandhuber, B. J. Spence and G. Travaglini, ``Non-supersymmetric loop amplitudes and MHV vertices,'' Nucl.Phys. B 712 (2005) 59 [hep-th/0412108].
  7. R. Britto, E. Buchbinder, F. Cachazo and B. Feng, ``One-loop amplitudes of gluons in SQCD,'' Phys.Rev. D 72 (2005) 065012 [hep-ph/0503132].
  8. Z. Bern, L. J. Dixon and D. A. Kosower, ``Bootstrapping multi-parton loop amplitudes in QCD,'' Phys.Rev. D 73 (2006) 065013 [hep-ph/0507005].
  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 [hep-ph/0507019].
  10. R. Britto, B. Feng and P. Mastrolia, ``The cut-constructible part of QCD amplitudes,'' Phys.Rev. D 73 (2006) 105004 [hep-ph/0602178].
  11. C. F. Berger, Z. Bern, L. J. Dixon, D. Forde and D. A. Kosower, ``Bootstrapping one-loop QCD amplitudes with general helicities,'' Phys.Rev. D 74 (2006) 036009 [hep-ph/0604195].
  12. 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. D 75 (2007) 016006 [hep-ph/0607014].
  13. Z. Xiao, G. Yang and C. J. Zhu, ``The rational part of QCD amplitude. III: The six-gluon,'' Nucl.Phys. B 758, 53 (2006) [hep-ph/0607017].
These pages were prepared by Dave Dunbar Last update 8th January 09 . Any feedback/corections/suggestions is most welcome