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On the breaking of collinear factorization in QCD

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Abstract

We investigate the breakdown of collinear factorization for non-inclusive observables in hadron-hadron collisions. For pure QCD processes, factorization is violated at the three-loop level and it has a structure identical to that encountered previously in the case of super-leading logarithms. In particular, it is driven by the non-commutation of Coulomb/Glauber gluon exchanges with other soft exchanges. Beyond QCD, factorization may be violated at the two-loop level provided that the hard subprocess contains matrix element contributions with phase differences between different colour topologies.

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References

  1. J.C. Collins, D.E. Soper and G.F. Sterman, Soft Gluons and Factorization, Nucl. Phys. B 308 (1988) 833 [INSPIRE].

    Article  ADS  Google Scholar 

  2. S. Catani, D. de Florian and G. Rodrigo, Space-like (versus time-like) collinear limits in QCD: Is factorization violated?, JHEP 07 (2012) 026 [arXiv:1112.4405] [INSPIRE].

    Article  ADS  Google Scholar 

  3. J.R. Forshaw, A. Kyrieleis and M.H. Seymour, Super-leading logarithms in non-global observables in QCD, JHEP 08 (2006) 059 [hep-ph/0604094] [INSPIRE].

    Article  ADS  Google Scholar 

  4. J.R. Forshaw, A. Kyrieleis and M.H. Seymour, Super-leading logarithms in non-global observables in QCD: Colour basis independent calculation, JHEP 09 (2008) 128 [arXiv:0808.1269] [INSPIRE].

    Article  ADS  Google Scholar 

  5. N. Kidonakis, G. Oderda and G.F. Sterman, Evolution of color exchange in QCD hard scattering, Nucl. Phys. B 531 (1998) 365 [hep-ph/9803241] [INSPIRE].

    Article  ADS  Google Scholar 

  6. G. Oderda and G.F. Sterman, Energy and color flow in dijet rapidity gaps, Phys. Rev. Lett. 81 (1998) 3591 [hep-ph/9806530] [INSPIRE].

    Article  ADS  Google Scholar 

  7. C.F. Berger, T. Kucs and G.F. Sterman, Energy flow in interjet radiation, Phys. Rev. D 65 (2002) 094031 [hep-ph/0110004] [INSPIRE].

    ADS  Google Scholar 

  8. M. Dasgupta and G.P. Salam, Accounting for coherence in interjet E(t) flow: A Case study, JHEP 03 (2002) 017 [hep-ph/0203009] [INSPIRE].

    Article  ADS  Google Scholar 

  9. A. Kyrieleis, Super-leading logarithms in gaps-between-jets, hep-ph/0606274 [INSPIRE].

  10. A. Kyrieleis, J.R. Forshaw and M.H. Seymour, Breakdown of QCD coherence?, PoS(DIFF2006)031 [hep-ph/0612202] [INSPIRE].

  11. M.H. Seymour, Breakdown of Coherence?, arXiv:0710.2733 [INSPIRE].

  12. J.R. Forshaw and M.H. Seymour, Soft gluons and superleading logarithms in QCD, Nucl. Phys. Proc. Suppl. 191 (2009) 257 [arXiv:0901.3037] [INSPIRE].

    Article  ADS  Google Scholar 

  13. J. Keates and M.H. Seymour, Super-leading logarithms in non-global observables in QCD: Fixed order calculation, JHEP 04 (2009) 040 [arXiv:0902.0477] [INSPIRE].

    Article  ADS  Google Scholar 

  14. S. Catani and M.H. 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] [INSPIRE].

  15. A. Banfi, G.P. Salam and G. Zanderighi, Phenomenology of event shapes at hadron colliders, JHEP 06 (2010) 038 [arXiv:1001.4082] [INSPIRE].

    Article  ADS  Google Scholar 

  16. S. Catani, The Singular behavior of QCD amplitudes at two loop order, Phys. Lett. B 427 (1998) 161 [hep-ph/9802439] [INSPIRE].

    ADS  Google Scholar 

  17. L.J. Dixon, L. Magnea and G.F. Sterman, Universal structure of subleading infrared poles in gauge theory amplitudes, JHEP 08 (2008) 022 [arXiv:0805.3515] [INSPIRE].

    Article  ADS  Google Scholar 

  18. T. Becher and M. Neubert, Infrared singularities of scattering amplitudes in perturbative QCD, Phys. Rev. Lett. 102 (2009) 162001 [arXiv:0901.0722] [INSPIRE].

    Article  ADS  Google Scholar 

  19. E. Gardi and L. Magnea, Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes, JHEP 03 (2009) 079 [arXiv:0901.1091] [INSPIRE].

    Article  ADS  Google Scholar 

  20. T. Becher and M. Neubert, On the Structure of Infrared Singularities of Gauge-Theory Amplitudes, JHEP 06 (2009) 081 [arXiv:0903.1126] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  21. L.J. Dixon, E. Gardi and L. Magnea, On soft singularities at three loops and beyond, JHEP 02 (2010) 081 [arXiv:0910.3653] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  22. M.H. Seymour, Symmetry of anomalous dimension matrices for colour evolution of hard scattering processes, JHEP 10 (2005) 029 [hep-ph/0508305] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  23. M.H. Seymour and M. Sjödahl, Symmetry of anomalous dimension matrices explained, JHEP 12 (2008) 066 [arXiv:0810.5756] [INSPIRE].

    Article  ADS  Google Scholar 

  24. S.M. Aybat and G.F. Sterman, Soft-Gluon Cancellation, Phases and Factorization with Initial-State Partons, Phys. Lett. B 671 (2009) 46 [arXiv:0811.0246] [INSPIRE].

    ADS  Google Scholar 

  25. V. Del Duca, C. Duhr, E. Gardi, L. Magnea and C.D. White, The Infrared structure of gauge theory amplitudes in the high-energy limit, JHEP 12 (2011) 021 [arXiv:1109.3581] [INSPIRE].

    Article  ADS  Google Scholar 

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Correspondence to Michael H. Seymour.

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ArXiv ePrint: 1206.6363

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Forshaw, J.R., Seymour, M.H. & Siódmok, A. On the breaking of collinear factorization in QCD. J. High Energ. Phys. 2012, 66 (2012). https://doi.org/10.1007/JHEP11(2012)066

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  • DOI: https://doi.org/10.1007/JHEP11(2012)066

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