Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes

Journal of High Energy Physics

Volumn 2007, Issue 3, 2007, Pages

  Anastasiou, Charalampos ^a   Britto, Ruth ^b   Feng, Bo ^c,d   Kunszt, Zoltan ^e   Mastrolia, Pierpaolo ^f  

^a CERN   (Switzerland)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

^c ZHEJIANG UNIVERSITY   (China)

^d IMPERIAL COLLEGE LONDON   (United Kingdom)

^e ETH ZURICH   (Switzerland)

^f UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

NLO computations; QCD

Indexed keywords

EID: 33947663599     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/03/111     Document Type: Article

References (35)

1. F. Cachazo and P. Svrcek, Lectures on twistor strings and perturbative Yang-Mills theory Proc. Sci. PoS(RTN2005)004 [hep-th/0504194]
2. L.J. Dixon, Twistor string theory and QCD Proc. Sci. PoS(HEP2005)045 [hep-ph/0512111]
3. E. Witten, Perturbative gauge theory as a string theory in twistor space 2004 Comm. Math. Phys. 252 189 [hep-th/0312171]
4. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits 1994 Nucl. Phys. B 425 217 [hep-ph/9403226]
5. R. Britto, F. Cachazo and B. Feng, Generalized unitarity and one-loop amplitudes in N ≤ 4 super-Yang-Mills 2005 Nucl. Phys. B 725 275 [hep-th/0412103]
6. R. Britto, E. Buchbinder, F. Cachazo and B. Feng, One-loop amplitudes of gluons in SQCD 2005 Phys. Rev. D 72 065012 [hep-ph/0503132]
7. F. Cachazo, P. Svrcek and E. Witten, MHV vertices and tree amplitudes in gauge theory 2004 J. High Energy Phys. JHEP09(2004)006 [hep-th/0403047]
8. F. Cachazo, P. Svrcek and E. Witten, Gauge theory amplitudes in twistor space and holomorphic anomaly 2004 J. High Energy Phys. JHEP10(2004)077 [hep-th/0409245]
9. A. Brandhuber, B.J. Spence and G. Travaglini, One-loop gauge theory amplitudes in N ≤ 4 super Yang-Mills from MHV vertices 2005 Nucl. Phys. B 706 150 [hep-th/0407214]
10. F. Cachazo, P. Svrcek and E. Witten, Twistor space structure of one-loop amplitudes in gauge theory 2004 J. High Energy Phys. JHEP10(2004)074 [hep-th/0406177]
11. I. Bena, Z. Bern, D.A. Kosower and R. Roiban, Loops in twistor space 2005 Phys. Rev. D 71 106010 [hep-th/0410054]
12. F. Cachazo, Holomorphic anomaly of unitarity cuts and one-loop gauge theory amplitudes [hep-th/0410077]
13. R. Britto, F. Cachazo and B. Feng, Computing one-loop amplitudes from the holomorphic anomaly of unitarity cuts 2005 Phys. Rev. D 71 025012 [hep-th/0410179]
14. R. Britto, B. Feng and P. Mastrolia, The cut-constructible part of QCD amplitudes 2006 Phys. Rev. D 73 105004 [hep-ph/0602178]
15. Z. Bern, L.J. Dixon and D.A. Kosower, On-shell recurrence relations for one-loop QCD amplitudes 2005 Phys. Rev. D 71 105013 [hep-th/0501240]
16. Z. Bern, L.J. Dixon and D.A. Kosower, The last of the finite loop amplitudes in QCD 2005 Phys. Rev. D 72 125003 [hep-ph/0505055]
17. Z. Bern, L.J. Dixon and D.A. Kosower, Bootstrapping multi-parton loop amplitudes in QCD 2006 Phys. Rev. D 73 065013 [hep-ph/0507005]
18. C.F. Berger, Z. Bern, L.J. Dixon, D. Forde and D.A. Kosower, Bootstrapping one-loop QCD amplitudes with general helicities 2006 Phys. Rev. D 74 036009 [hep-ph/0604195]
19. C.F. Berger, Z. Bern, L.J. Dixon, D. Forde and D.A. Kosower, All one-loop maximally helicity violating gluonic amplitudes in QCD 2007 Phys. Rev. D 75 016006 [hep-ph/0607014]
20. R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons 2005 Nucl. Phys. B 715 499 [hep-th/0412308]
21. R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory 2005 Phys. Rev. Lett. 94 181602 [hep-th/0501052]
22. Z. Xiao, G. Yang and C.-J. Zhu, The rational part of QCD amplitude. I: the general formalism 2006 Nucl. Phys. B 758 1 [hep-ph/0607015]
23. X. Su, Z. Xiao, G. Yang and C.-J. Zhu, The rational part of QCD amplitude. II: the five-gluon 2006 Nucl. Phys. B 758 35 [hep-ph/0607016]
24. Z. Xiao, G. Yang and C.-J. Zhu, The rational part of QCD amplitude. III: the six-gluon 2006 Nucl. Phys. B 758 53 [hep-ph/0607017]
25. T. Binoth, J.P. Guillet and G. Heinrich, Algebraic evaluation of rational polynomials in one-loop amplitudes 2007 J. High Energy Phys. JHEP02(2007)013 [hep-ph/0609054]
26. W.L. van Neerven, Dimensional regularization of mass and infrared singularities in two loop on-shell vertex functions 1986 Nucl. Phys. B 268 453
27. Z. Bern and A.G. Morgan, Massive loop amplitudes from unitarity 1996 Nucl. Phys. B 467 479 [hep-ph/9511336]
28. Z. Bern, L.J. Dixon and D.A. Kosower, Progress in one-loop QCD computations 1996 Ann. Rev. Nucl. Part. Sci. 46 109 [hep-ph/9602280]
29. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, One-loop self-dual and N ≤ 4 super Yang-Mills 1997 Phys. Lett. B 394 105 [hep-th/9611127]
30. A. Brandhuber, S. McNamara, B.J. Spence and G. Travaglini, Loop amplitudes in pure Yang-Mills from generalised unitarity 2005 J. High Energy Phys. JHEP10(2005)011 [hep-th/0506068]
31. C. Anastasiou, R. Britto, B. Feng, Z. Kunszt and P. Mastrolia, D-dimensional unitarity cut method 2007 Phys. Lett. B 645 213 [hep-ph/0609191]
32. R. Britto and B. Feng, Unitarity cuts with massive propagators and algebraic expressions for coefficients [hep-ph/0612089]
33. S.D. Badger, E.W.N. Glover, V.V. Khoze and P. Svrcek, Recursion relations for gauge theory amplitudes with massive particles 2005 J. High Energy Phys. JHEP07(2005)025 [hep-th/0504159]
34. P. Mastrolia, On triple-cut of scattering amplitudes 2007 Phys. Lett. B 644 272 [hep-th/0611091]
35. G. Ossola, C.G. Papadopoulos and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level 2007 Nucl. Phys. B 763 147 [hep-ph/0609007]