Abstract
For any factorisation proof, a crucial step is a demonstration of the cancellation of so-called Glauber gluons. We summarise a recent paper in which we demonstrated this cancellation for double Drell–Yan production (the double parton scattering process in which a pair of electroweak gauge bosons is produced), both for the integrated cross section and for the cross section differential in the boson transverse momenta.
Article PDF
Similar content being viewed by others
References
Bauer, C.W., Stewart, I.W.: Invariant operators in collinear effective theory. Phys. Lett. B 516, 134–142 (2001). doi:10.1016/S0370-2693(01)00902-9. arXiv:hep-th/0107001
Bauer, C.W., Fleming, S., Luke, M.E.: Summing Sudakov logarithms in \(B\rightarrow X_s\gamma \) in effective field theory. Phys. Rev. D 63, 014,006 (2000). doi:10.1103/PhysRevD.63.014006. arXiv:hep-th/0005275
Bauer, C.W., Fleming, S., Pirjol, D., Stewart, I.W.: An effective field theory for collinear and soft gluons: heavy to light decays. Phys. Rev. D 63, 114,020 (2001). doi:10.1103/PhysRevD.63.114020. arXiv:hep-th/0011336
Bauer, C.W., Fleming, S., Pirjol, D., Rothstein, I.Z., Stewart, I.W.: Hard scattering factorization from effective field theory. Phys. Rev. D 66, 014,017 (2002a). doi:10.1103/PhysRevD.66.014017. arXiv:hep-th/0202088
Bauer, C.W., Pirjol, D., Stewart, I.W.: Soft collinear factorization in effective field theory. Phys. Rev. D 65, 054,022 (2002b). doi:10.1103/PhysRevD.65.054022. arXiv:hep-th/0109045
Beneke, M., Chapovsky, A., Diehl, M., Feldmann, T.: Soft collinear effective theory and heavy to light currents beyond leading power. Nuclear Phys. B 643, 431–476 (2002). doi:10.1016/S0550-3213(02)00687-9. arXiv:hep-th/0206152
Blok, B., Dokshitser, Yu., Frankfurt, L., Strikman, M.: pQCD physics of multiparton interactions. Eur. Phys. J C 72, 1963 (2012). arXiv:1106.5533 [hep-th]
Bodwin, G.T.: Factorization of the Drell–Yan cross-section in perturbation theory. Phys. Rev. D 31, 2616 (1985), doi:10.1103/PhysRevD.34.3932, doi:10.1103/PhysRevD.31.2616, [Erratum: Phys. Rev.D34,3932(1986)]
Brodsky, S.J., Lepage, G.P.: Exclusive processes in quantum chromodynamics. In: Mueller, A.H. (ed.) Perturbative Quantum Chromodynamics. World Scientific, Sigapore (1989)
Chang, S.J., Ma, S.K.: Feynman rules and quantum electrodynamics at infinite momentum. Phys. Rev. 180, 1506–1513 (1969). doi:10.1103/PhysRev.180.1506
Coleman, S., Norton, R.E.: Singularities in the physical region. Singul. Phys. Reg. 38, 438–442 (1965). doi:10.1007/BF02750472
Collins, J.: Foundations of Perturbative QCD. Cambridge University Press, Cambridge (2013)
Collins, J.C., Soper, D.E., Sterman, G.F.: Factorization for short distance hadron–Hadron Scattering. Nuclear Phys. B 261, 104 (1985). doi:10.1016/0550-3213(85)90565-6
Collins, J.C., Soper, D.E., Sterman, G.F.: Soft gluons and factorization. Nuclear Phys. B 308, 833 (1988). doi:10.1016/0550-3213(88)90130-7
Diehl, M., Ostermeier, D., Schafer, A.: Elements of a theory for multiparton interactions in QCD. JHEP 03, 089 (2012). doi:10.1007/JHEP03(2012)089. arXiv:1111.0910 [hep-th]
Diehl, M., Gaunt, J.R., Ostermeier, D., Plößl, P., Schäfer, A.: Cancellation of Glauber gluon exchange in the double Drell–Yan process. JHEP 01, 076 (2016). doi:10.1007/JHEP01(2016)076. arXiv:1510.08696 [hep-th]
Gaunt, J.R.: Glauber gluons and multiple parton interactions. JHEP 07, 110 (2014). doi:10.1007/JHEP07(2014)110. arXiv:1405.2080 [hep-th]
Kochegov, Y.V., Levin, E.: Quantum Chromodynamics at High Energy. Cambridge University Press, Cambridge (2012)
Kogut, J.B., Soper, D.E.: Quantum electrodynamics in the infinite momentum frame. Phys. Rev. D 1, 2901–2913 (1970). doi:10.1103/PhysRevD.1.2901
Manohar, A.V., Waalewijn, W.J.: A QCD analysis of double parton scattering: color correlations, interference effects and evolution. Phys. Rev. D 85, 114,009 (2012). doi:10.1103/PhysRevD.85.114009. arXiv:1202.3794 [hep-th]
Mekhfi, M.: Multiparton processes: an application to double Drell–Yan. Phys. Rev. D 32, 2371 (1985). doi:10.1103/PhysRevD.32.2371
Paver, N., Treleani, D.: Multi-quark scattering and large \(p_T\) jet production in hadronic collisions. Nuovo cim A 70, 215 (1982). doi:10.1007/BF02814035
Rothstein, I.Z., Stewart, I.W.: An effective field theory for forward scattering and factorization violation (2016). arXiv:1601.04695 [hep-th]
Yan, T.M.: Quantum field theories in the infinite momentum frame. 4. Scattering matrix of vector and dirac fields and perturbation theory. Phys. Rev. D 7, 1780–1800 (1973). doi:10.1103/PhysRevD.7.1780
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Diehl, M., Gaunt, J.R., Ostermeier, D. et al. Cancellation of Glauber Gluon Exchange in the Double Drell–Yan Process. Few-Body Syst 57, 399–403 (2016). https://doi.org/10.1007/s00601-016-1094-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00601-016-1094-0