NNLL resummation for jet broadening

Journal of High Energy Physics

Volumn 2012, Issue 11, 2012, Pages

  Becher, Thomas ^a   Bell, Guido ^a  

^a UNIVERSITY OF BERN   (Switzerland)

Author keywords

QCD; Renormalization Group; Resummation

Indexed keywords

EID: 84870348995     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2012)126     Document Type: Article

References (51)

1. P.E. Rakow and B. Webber, Transverse momentum moments of hadron distributions in QCD jets, Nucl. Phys. B 191 (1981) 63.
2. R.K. Ellis and B.R. Webber, Proceedings of snowmass '86 summer study on the physics of the superconducting supercollider, Snowmass U.S.A. (1986) 74
3. T. Becher and M.D. Schwartz, A precise determination of αs from LEP thrust data using effective field theory, JHEP 07 (2008) 034 [arXiv:0803.0342].
4. Y.L. Dokshitzer, A. Lucenti, G. Marchesini and G. Salam, On the QCD analysis of jet broadening, JHEP 01 (1998) 011 [hep-ph/9801324].
5. A. Gehrmann-De Ridder, T. Gehrmann, E. Glover and G. Heinrich, NNLO corrections to event shapes in e+e- annihilation, JHEP 12 (2007) 094 [arXiv:0711.4711].
6. S. Weinzierl, Event shapes and jet rates in electron-positron annihilation at NNLO, JHEP 06 (2009) 041 [arXiv:0904.1077].
7. R. Abbate, M. Fickinger, A.H. Hoang, V. Mateu and I.W. Stewart, Thrust at N3LL with power corrections and a precision global fit for αs(mZ), Phys. Rev. D 83 (2011) 074021 [arXiv:1006.3080].
8. Particle Data Group collaboration, J. Beringer et al., Review of particle physics (RPP), Phys. Rev. D 86 (2012) 010001.
9. Y.-T. Chien and M.D. Schwartz, Resummation of heavy jet mass and comparison to LEP data, JHEP 08 (2010) 058 [arXiv:1005.1644].
10. S. Catani, G. Turnock and B. Webber, Jet broadening measures in e+e- annihilation, Phys. Lett. B 295 (1992) 269.
11. C.W. Bauer, S. Fleming, D. Pirjol and I.W. Stewart, An effective field theory for collinear and soft gluons: heavy to light decays, Phys. Rev. D 63 (2001) 114020 [hep-ph/0011336].
12. C.W. Bauer, D. Pirjol and I.W. Stewart, Soft collinear factorization in effective field theory, Phys. Rev. D 65 (2002) 054022 [hep-ph/0109045].
13. M. Beneke, A. Chapovsky, M. Diehl and T. Feldmann, Soft collinear effective theory and heavy to light currents beyond leading power, Nucl. Phys. B 643 (2002) 431 [hep-ph/0206152].
14. T. Becher and M. Neubert, Drell-Yan production at small qT, transverse parton distributions and the collinear anomaly, Eur. Phys. J. C 71 (2011) 1665 [arXiv:1007.4005].
15. J.-y. Chiu, F. Golf, R. Kelley and A.V. Manohar, Electroweak corrections in high energy processes using effective field theory, Phys. Rev. D 77 (2008) 053004 [arXiv:0712.0396].
16. J.-y. Chiu, A. Jain, D. Neill and I.Z. Rothstein, The rapidity renormalization group, Phys. Rev. Lett. 108 (2012) 151601 [arXiv:1104.0881].
17. J.-Y. Chiu, A. Jain, D. Neill and I.Z. Rothstein, A formalism for the systematic treatment of rapidity logarithms in quantum field theory, JHEP 05 (2012) 084 [arXiv:1202.0814].
18. T. Becher and G. Bell, Analytic regularization in soft-collinear effective theory, Phys. Lett. B 713 (2012) 41 [arXiv:1112.3907].
19. T. Gehrmann, T. Lubbert and L.L. Yang, Transverse parton distribution functions at next-to-next-to-leading order: the quark-to-quark case, arXiv:1209.0682.
20. T. Becher, G. Bell and M. Neubert, Factorization and resummation for jet broadening, Phys. Lett. B 704 (2011) 276 [arXiv:1104.4108].
21. P. Baikov, K. Chetyrkin, A. Smirnov, V. Smirnov and M. Steinhauser, Quark and gluon form factors to three loops, Phys. Rev. Lett. 102 (2009) 212002 [arXiv:0902.3519].
22. T. Gehrmann, E. Glover, T. Huber, N. Ikizlerli and C. Studerus, The quark and gluon form factors to three loops in QCD through to O(ε2), JHEP 11 (2010) 102 [arXiv:1010.4478].
23. T. Becher and M. Neubert, On the structure of infrared singularities of gauge-theory amplitudes, JHEP 06 (2009) 081 [arXiv:0903.1126].
24. A.V. Belitsky, Two loop renormalization of Wilson loop for Drell-Yan production, Phys. Lett. B 442 (1998) 307 [hep-ph/9808389].
25. T. Becher and M. Neubert, Toward a NNLO calculation of the ̄B → Xsγ decay rate with a cut on photon energy: I. Two-loop result for the soft function, Phys. Lett. B 633 (2006) 739 [hep-ph/0512208].
26. R. Kelley, M.D. Schwartz, R.M. Schabinger and H.X. Zhu, The two-loop hemisphere soft function, Phys. Rev. D 84 (2011) 045022 [arXiv:1105.3676].
27. P.F. Monni, T. Gehrmann and G. Luisoni, Two-loop soft corrections and resummation of the thrust distribution in the dijet region, JHEP 08 (2011) 010 [arXiv:1105.4560].
28. A. Hornig, C. Lee, I.W. Stewart, J.R. Walsh and S. Zuberi, Non-global structure of the O(α2 s) dijet soft function, JHEP 08 (2011) 054 [arXiv:1105.4628].
29. Y. Li, S. Mantry and F. Petriello, An exclusive soft function for Drell-Yan at next-to-next-to-leading order, Phys. Rev. D 84 (2011) 094014 [arXiv:1105.5171].
30. R. Kelley, M.D. Schwartz, R.M. Schabinger and H.X. Zhu, Jet mass with a jet veto at two loops and the universality of non-global structure, Phys. Rev. D 86 (2012) 054017 [arXiv:1112.3343].
31. T. Becher, G. Bell and S. Marti, NNLO soft function for electroweak boson production at large transverse momentum, JHEP 04 (2012) 034 [arXiv:1201.5572].
32. A. Ferroglia, B.D. Pecjak, L.L. Yang, B.D. Pecjak and L.L. Yang, The NNLO soft function for the pair invariant mass distribution of boosted top quarks, JHEP 10 (2012) 180 [arXiv:1207.4798].
33. T. Huber and D. Mâitre, HypExp: a Mathematica package for expanding hypergeometric functions around integer-valued parameters, Comput. Phys. Commun. 175 (2006) 122 [hep-ph/0507094].
34. T. Huber and D. Mâitre, HypExp 2, expanding hypergeometric functions about half-integer parameters, Comput. Phys. Commun. 178 (2008) 755 [arXiv:0708.2443].
35. F. Jegerlehner, M.Y. Kalmykov and O. Veretin, MS-bar versus pole masses of gauge bosons. 2. Two loop electroweak fermion corrections, Nucl. Phys. B 658 (2003) 49 [hep-ph/0212319].
36. A.I. Davydychev and M.Y. Kalmykov, Massive Feynman diagrams and inverse binomial sums, Nucl. Phys. B 699 (2004) 3 [hep-th/0303162].
37. D. Cvijovic and J. Klinowski, On the integration of incomplete elliptic integrals, Proc. R. Soc. Lond. A 444 (1994) 525.
38. T. Becher, M. Neubert and B.D. Pecjak, Factorization and momentum-space resummation in deep-inelastic scattering, JHEP 01 (2007) 076 [hep-ph/0607228].
39. ALEPH collaboration, A. Heister et al., Studies of QCD at e+e- centre-of-mass energies between 91GeV and 209GeV, Eur. Phys. J. C 35 (2004) 457.
40. DELPHI collaboration, J. Abdallah et al., The measurement of αs from event shapes with the DELPHI detector at the highest LEP energies, Eur. Phys. J. C 37 (2004) 1 [hep-ex/0406011].
41. L3 collaboration, P. Achard et al., Studies of hadronic event structure in e+e- annihilation from 30GeV to 209GeV with the L3 detector, Phys. Rept. 399 (2004) 71 [hep-ex/0406049].
42. OPAL collaboration, G. Abbiendi et al., Measurement of event shape distributions and moments in e+e- → hadrons at 91GeV - 209GeV and a determination of αs, Eur. Phys. J. C 40 (2005) 287 [hep-ex/0503051].
43. S. Catani and M. Seymour, A general algorithm for calculating jet cross-sections in NLO QCD, Nucl. Phys. B 485 (1997) 291 [Erratum ibid. B 510 (1998) 503-504] [hep-ph/9605323].
44. A. Gehrmann-De Ridder, T. Gehrmann, E. Glover and G. Heinrich, Infrared structure of e+e- → 3 jets at NNLO, JHEP 11 (2007) 058 [arXiv:0710.0346].
45. D.H. Bailey, J.M. Borwein, D. Broadhurst and M. Glasser, Elliptic integral evaluations of Bessel moments, arXiv:0801.0891.
46. M. Czakon and A. Mitov, Inclusive heavy flavor hadroproduction in NLO QCD: the exact analytic result, Nucl. Phys. B 824 (2010) 111 [arXiv:0811.4119].
47. G. Dissertori, A. Gehrmann-De Ridder, T. Gehrmann, E. Glover, G. Heinrich, et al., First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in e+e- annihilations, JHEP 02 (2008) 040 [arXiv:0712.0327].
48. G. Dissertori, A. Gehrmann-De Ridder, T. Gehrmann, E. Glover, G. Heinrich, et al., Determination of the strong coupling constant using matched NNLO+NLLA predictions for hadronic event shapes in e+e- annihilations, JHEP 08 (2009) 036 [arXiv:0906.3436].
49. K. Hepp, Proof of the Bogolyubov-Parasiuk theorem on renormalization, Commun. Math. Phys. 2 (1966) 301.
50. M. Roth and A. Denner, High-energy approximation of one loop Feynman integrals, Nucl. Phys. B 479 (1996) 495 [hep-ph/9605420].
51. T. Binoth and G. Heinrich, An automatized algorithm to compute infrared divergent multiloop integrals, Nucl. Phys. B 585 (2000) 741 [hep-ph/0004013].