Two-loop QED corrections to Bhabha scattering

Journal of High Energy Physics

Volumn 2007, Issue 6, 2007, Pages

  Becher, Thomas ^a   Melnikov, Kirill ^b  

^a FERMI NATIONAL ACCELERATOR LABORATORY   (United States)

^b UNIVERSITY OF HAWAII   (United States)

Author keywords

Electromagnetic processes and properties; NLO computations

Indexed keywords

EID: 34547670437     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/06/084     Document Type: Article

References (42)

1. C.M. Carloni Calame, C. Lunardini, G. Montagna, O. Nicrosini and F. Piccinini, Large-angle Bhabha scattering and luminosity at flavour factories 2000 Nucl. Phys. B 584 459 [hep-ph/0003268]
2. - linear colliders using large-angle Bhabha events 1998 Phys. Lett. B 429 162
3. For an inventory, see S. Jadach et al., Event generators for Bhabha scattering in Physics at LEP2
4. G. Altarelli, T. Sjostrand, F. Zwirner (editors), CERN report, 96-01, CERN, Geneva, (1996)
5. V.A. Smirnov, Analytical result for dimensionally regularized massive on-shell planar double box 2002 Phys. Lett. B 524 129 [hep-ph/0111160]
6. R. Bonciani, P. Mastrolia and E. Remiddi, Vertex diagrams for the QED form factors at the 2-loop level 2003 Nucl. Phys. B 661 289 [hep-ph/0301170]
7. A.I. Davydychev and M.Y. Kalmykov, Massive Feynman diagrams and inverse binomial sums 2004 Nucl. Phys. B 699 3 [hep-th/0303162]
8. R. Bonciani, A. Ferroglia, P. Mastrolia, E. Remiddi and J.J. van der Bij, Planar box diagram for the (N(F) ≤ 1) 2-loop QED virtual corrections to Bhabha scattering 2004 Nucl. Phys. B 681 261 [Erratum 2004 Nucl. Phys. 702 364] [hep-ph/0310333]
9. G. Heinrich and V.A. Smirnov, Analytical evaluation of dimensionally regularized massive on-shell double boxes 2004 Phys. Lett. B 598 55 [hep-ph/0406053]
10. M. Czakon, J. Gluza and T. Riemann, Master integrals for massive two-loop Bhabha scattering in QED 2005 Phys. Rev. D 71 073009 [hep-ph/0412164]
11. M. Czakon, J. Gluza and T. Riemann, The planar four-point master integrals for massive two-loop Bhabha scattering 2006 Nucl. Phys. B 751 1 [hep-ph/0604101]
12. F ≤ 1 QED Bhabha scattering differential cross section 2004 Nucl. Phys. B 701 121 [hep-ph/0405275]
13. F ≤ 1 QED Bhabha scattering: soft emission and numerical evaluation of the differential cross-section 2005 Nucl. Phys. B 716 280 [hep-ph/0411321]
14. R. Bonciani and A. Ferroglia, Two-loop Bhabha scattering in QED 2005 Phys. Rev. D 72 056004 [hep-ph/0507047]
15. Z. Bern, L.J. Dixon and A. Ghinculov, Two-loop correction to Bhabha scattering 2001 Phys. Rev. D 63 053007 [hep-ph/0010075]
16. A.A. Penin, Two-loop corrections to Bhabha scattering 2005 Phys. Rev. Lett. 95 010408 [hep-ph/0501120]
17. A.A. Penin, Two-loop photonic corrections to massive Bhabha scattering 2006 Nucl. Phys. B 734 185 [hep-ph/0508127]
18. A. Mitov and S. Moch, The singular behavior of massive QCD amplitudes [hep-ph/0612149]
19. R. Bonciani and A. Ferroglia, private communication
20. - (γ) 1983 Nucl. Phys. B 228 537
21. M. Caffo, R. Gatto and E. Remiddi, Hard collinear photons, high-energy radiative corrections to Bhabha scattering 1985 Nucl. Phys. B 252 378
22. A.B. Arbuzov, E.A. Kuraev and B.G. Shaikhatdenov, Second order contributions to the elastic large-angle Bhabha scattering cross-section. I: all except 2-loop box diagrams 1998 Mod. Phys. Lett. A 13 2305 [hep-ph/9806215]
23. E.W.N. Glover, J.B. Tausk and J.J. Van der Bij, Second order contributions to elastic large-angle Bhabha scattering 2001 Phys. Lett. B 516 33 [hep-ph/0106052]
24. A.B. Arbuzov, E.A. Kuraev, N.P. Merenkov and L. Trentadue, Virtual and soft real pair production in large angle Bhabha scattering 1997 Phys. Atom. Nucl. 60 591
25. J. Frenkel and J.C. Taylor, Exponentiation of leading infrared divergences in massless Yang-Mills theories 1976 Nucl. Phys. B 116 185
26. C.W. Bauer, S. Fleming, D. Pirjol and I.W. Stewart, An effective field theory for collinear and soft gluons: heavy to light decays 2001 Phys. Rev. D 63 114020 [hep-ph/0011336]
27. C.W. Bauer, D. Pirjol and I.W. Stewart, Soft-collinear factorization in effective field theory 2002 Phys. Rev. D 65 054022 [hep-ph/0109045]
28. M. Beneke, A.P. Chapovsky, M. Diehl and T. Feldmann, Soft-collinear effective theory and heavy-to-light currents beyond leading power 2002 Nucl. Phys. B 643 431 [hep-ph/0206152]
29. R. Akhoury, Mass divergences of wide angle scattering amplitudes 1979 Phys. Rev. D 19 1250
30. G. Sterman, Mass divergences in annihilation processes. 1. Origin and nature of divergences in cut vacuum polarization diagrams 1978 Phys. Rev. D 17 2773
31. A. Sen, Asymptotic behavior of the wide angle on-shell quark scattering amplitudes in nonabelian gauge theories 1983 Phys. Rev. D 28 860
32. V.A. Smirnov, Problems of the strategy of regions 1999 Phys. Lett. B 465 226 [hep-ph/9907471]
33. S. Catani, S. Dittmaier and Z. Trócsnyi, One-loop singular behaviour of QCD and SUSY QCD amplitudes with massive partons 2001 Phys. Lett. B 500 149 [hep-ph/0011222]
34. W. Bernreuther et al., Two-loop QCD corrections to the heavy quark form factors: the vector contributions 2005 Nucl. Phys. B 706 245 [hep-ph/0406046]
35. A.H. Hoang, J.H. Kuhn and T. Teubner, Radiation of light fermions in heavy fermion production 1995 Nucl. Phys. B 452 173 [hep-ph/9505262]
36. B.A. Kniehl, Two loop QED vertex correction from virtual heavy fermions 1990 Phys. Lett. B 237 127
37. S. Moch, J.A.M. Vermaseren and A. Vogt, The quark form factor at higher orders 2005 J. High Energy Phys. JHEP08(2005)049 [hep-ph/0507039]
38. T. Gehrmann, T. Huber and D. Maitre, Two-loop quark and gluon form factors in dimensional regularisation 2005 Phys. Lett. B 622 295 [hep-ph/0507061]
39. C. Anastasiou, E.W.N. Glover, C. Oleari and M.E. Tejeda-Yeomans, One-loop QCD corrections to quark scattering at NNLO 2001 Phys. Lett. B 506 59 [hep-ph/0012007]
40. S. Catani, The singular behaviour of QCD amplitudes at two-loop order, 1998 Phys. Lett. B 427 161 [hep-ph/9802439]
41. C. Anastasiou, E.W.N. Glover, C. Oleari and M.E. Tejeda-Yeomans, Two-loop QCD corrections to massless quark gluon scattering 2001 Nucl. Phys. B 605 486 [hep-ph/0101304]
42. S. Actis, M. Czakon, J. Gluza and T. Riemann, Two-loop fermionic corrections to massive Bhabha scattering [hep-ph/07042400]