zbMATH — the first resource for mathematics

Factorization and resummation for transverse thrust. (English) Zbl 1388.81380
Summary: We analyze transverse thrust in the framework of Soft Collinear Effective Theory and obtain a factorized expression for the cross section that permits resummation of terms enhanced in the dijet limit to arbitrary accuracy. The factorization theorem for this hadron-collider event-shape variable involves collinear emissions at different virtualities and suffers from a collinear anomaly. We compute all its ingredients at the one-loop order, and show that the two-loop input for next-to-next-to-leading logarithmic accuracy can be extracted numerically, from existing fixed-order codes.
81T17 Renormalization group methods applied to problems in quantum field theory
PDF BibTeX Cite
Full Text: DOI
[1] A. Banfi, G.P. Salam and G. Zanderighi, Resummed event shapes at hadron-hadron colliders, JHEP08 (2004) 062 [hep-ph/0407287] [inSPIRE]. · Zbl 1290.81159
[2] Banfi, A.; Salam, GP; Zanderighi, G., Phenomenology of event shapes at hadron colliders, JHEP, 06, 038, (2010) · Zbl 1290.81159
[3] CMS collaboration, First Measurement of Hadronic Event Shapes in PP Collisions at\( \sqrt{s=7} \)TeV, Phys. Lett. B 699 (2011) 48 [arXiv:1102.0068] [inSPIRE].
[4] ATLAS collaboration, Measurement of event shapes at large momentum transfer with the ATLAS detector in pp collisions at\( \sqrt{s=7} \)TeV, Eur. Phys. J. C 72 (2012) 2211 [arXiv:1206.2135] [inSPIRE]\(.\)
[5] ATLAS collaboration, Measurement of charged-particle event shape variables in yfs = 7 TeV proton-proton interactions with the ATLAS detector, Phys. Rev. D 88 (2013) 032004 [arXiv:1207.6915] [inSPIRE]\(.\)
[6] CMS collaboration, Study of hadronic event-shape variables in multijet final states in pp collisions at\( \sqrt{s=7} \)TeV, JHEP 1410 (2014) 87 [arXiv:1407.2856] [inSPIRE].
[7] CDF collaboration, T. Aaltonen et al., Measurement of Event Shapes in Proton-Antiproton Collisions at Center-of-Mass Energy 1.96 TeV, Phys. Rev. D 83 (2011) 112007 [arXiv:1103.5143] [inSPIRE].
[8] A. Banfi, G.P. Salam and G. Zanderighi, Principles of general final-state resummation and automated implementation, JHEP03 (2005) 073 [hep-ph/0407286] [inSPIRE].
[9] 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] [inSPIRE].
[10] 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] [inSPIRE].
[11] M. Beneke, A.P. 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] [inSPIRE]. · Zbl 0998.81538
[12] T. Becher, A. Broggio and A. Ferroglia, Introduction to Soft-Collinear Effective Theory,arXiv:1410.1892 [inSPIRE].
[13] Becher, T.; Neubert, M., Drell-Yan production at small \(q\)_{\(T\)}, transverse parton distributions and the collinear anomaly, Eur. Phys. J., C 71, 1665, (2011)
[14] Collins, JC; Soper, DE; Sterman, GF, Transverse momentum distribution in Drell-Yan pair and W and Z boson production, Nucl. Phys., B 250, 199, (1985)
[15] Mateu, V.; Rodrigo, G., Oriented event shapes at \(N\)\^{}{3}LL + \(O\)(\(α\)_{\(S\)}\^{}{2}), JHEP, 11, 030, (2013)
[16] S. Etter, Resummation of transverse thrust, MSc thesis, University of Bern (2014).
[17] Stewart, IW; Tackmann, FJ; Waalewijn, WJ, Factorization at the LHC: from PDFs to initial state jets, Phys. Rev., D 81, 094035, (2010)
[18] Kelley, R.; Schwartz, MD, 1-loop matching and NNLL resummation for all partonic 2 to 2 processes in QCD, Phys. Rev., D 83, 045022, (2011)
[19] Broggio, A.; Ferroglia, A.; Pecjak, BD; Zhang, Z., NNLO hard functions in massless QCD, JHEP, 12, 005, (2014)
[20] T. Becher and M. Neubert, On the Structure of Infrared Singularities of Gauge-Theory Amplitudes, JHEP06 (2009) 081 [Erratum ibid. 1311 (2013) 024] [arXiv:0903.1126] [inSPIRE].
[21] Chiu, J-y; Golf, F.; Kelley, R.; Manohar, AV, Electroweak corrections in high energy processes using effective field theory, Phys. Rev., D 77, 053004, (2008)
[22] T. Becher and G. Bell, Analytic Regularization in Soft-Collinear Effective Theory, Phys. Lett. B 713 (2012) 41 [arXiv:1112.3907] [inSPIRE].
[23] Chiu, J-y; Jain, A.; Neill, D.; Rothstein, IZ, The rapidity renormalization group, Phys. Rev. Lett., 108, 151601, (2012)
[24] Becher, T.; Bell, G.; Neubert, M., Factorization and resummation for jet broadening, Phys. Lett., B 704, 276, (2011)
[25] Becher, T.; Neubert, M., Factorization and NNLL resummation for Higgs production with a jet veto, JHEP, 07, 108, (2012)
[26] Becher, T.; Neubert, M.; Rothen, L., Factorization and N\^{}{{\sout 3}}LL_{p}+NNLO predictions for the Higgs cross section with a jet veto, JHEP, 10, 125, (2013)
[27] Echevarria, MG; Idilbi, A.; Scimemi, I., Soft and collinear factorization and transverse momentum dependent parton distribution functions, Phys. Lett., B 726, 795, (2013) · Zbl 1331.81334
[28] S. Catani and M.H. Seymour, The dipole formalism for the calculation of QCD jet cross-sections at next-to-leading order, Phys. Lett.B 378 (1996) 287 [hep-ph/9602277] [inSPIRE].
[29] T. Becher and M. Neubert, Infrared singularities of scattering amplitudes in perturbative QCD, Phys. Rev. Lett. 102 (2009) 162001 [Erratum ibid. 111 (2013) 199905] [arXiv:0901.0722] [inSPIRE].
[30] Gardi, E.; Magnea, L., Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes, JHEP, 03, 079, (2009)
[31] Dixon, LJ; Gardi, E.; Magnea, L., On soft singularities at three loops and beyond, JHEP, 02, 081, (2010) · Zbl 1270.81217
[32] Becher, T.; Schwartz, MD, A precise determination of a_{s} from LEP thrust data using effective field theory, JHEP, 07, 034, (2008)
[33] T. Becher, M. Neubert and B.D. Pecjak, Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering, JHEP01 (2007) 076 [hep-ph/0607228] [inSPIRE].
[34] Becher, T.; Bell, G., NNLL resummation for jet broadening, JHEP, 11, 126, (2012)
[35] Becher, T.; Bell, G., The gluon jet function at two-loop order, Phys. Lett., B 695, 252, (2011)
[36] Collins, JC; Soper, DE, Parton distribution and decay functions, Nucl. Phys., B 194, 445, (1982)
[37] 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] [hep-ph/9605323] [inSPIRE].
[38] Kelley, R.; Schwartz, MD, Threshold hadronic event shapes with effective field theory, Phys. Rev., D 83, 033001, (2011)
[39] E.W.N. Glover and M.E. Tejeda-Yeomans, Two loop QCD helicity amplitudes for massless quark massless gauge boson scattering, JHEP06 (2003) 033 [hep-ph/0304169] [inSPIRE].
[40] E.W.N. Glover, Two loop QCD helicity amplitudes for massless quark quark scattering, JHEP04 (2004) 021 [hep-ph/0401119] [inSPIRE].
[41] Z. Bern, A. De Freitas and L.J. Dixon, Two loop helicity amplitudes for quark gluon scattering in QCD and gluino gluon scattering in super-symmetric Yang-Mills theory, JHEP06 (2003) 028 [hep-ph/0304168] [Erratum ibid. 1404 (2014) 112] [inSPIRE].
[42] A. De Freitas and Z. Bern, Two-loop helicity amplitudes for quark-quark scattering in QCD and gluino-gluino scattering in super-symmetric Yang-Mills theory, JHEP09 (2004) 039 [hep-ph/0409007] [inSPIRE].
[43] Z. Bern, A. De Freitas and L.J. Dixon, Two loop helicity amplitudes for gluon-gluon scattering in QCD and super-symmetric Yang-Mills theory, JHEP03 (2002) 018 [hep-ph/0201161] [inSPIRE].
[44] T. Becher and M. Neubert, Threshold resummation in momentum space from effective field theory, Phys. Rev. Lett. 97 (2006) 082001 [hep-ph/0605050] [inSPIRE].
[45] Z. Nagy, Next-to-leading order calculation of three jet observables in hadron hadron collision, Phys. Rev. D 68 (2003) 094002 [hep-ph/0307268] [inSPIRE].
[46] CMS collaboration, Event shapes and azimuthal correlations in Z + jets events in pp collisions at fs = 7 TeV, Phys. Lett. B 722 (2013) 238 [arXiv:1301.1646] [inSPIRE].
[47] Becher, T.; Bell, G.; Lorentzen, C.; Marti, S., Transverse-momentum spectra of electroweak bosons near threshold at NNLO, JHEP, 02, 004, (2014)
[48] Becher, T.; Bell, G.; Marti, S., NNLO soft function for electroweak boson production at large transverse momentum, JHEP, 04, 034, (2012)
[49] Gavin, R.; Li, Y.; Petriello, F.; Quackenbush, S., FEWZ 2.0: A code for hadronic Z production at next-to-next-to-leading order, Comput. Phys. Commun., 182, 2388, (2011)
[50] Catani, S.; Cieri, L.; Ferrera, G.; Florian, D.; Grazzini, M., Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO, Phys. Rev. Lett., 103, 082001, (2009)
[51] Larkoski, AJ; Neill, D.; Thaler, J., Jet shapes with the broadening axis, JHEP, 04, 017, (2014)
[52] Grazzini, M., NNLO predictions for the Higgs boson signal in the H → WW → l\(v\)l\(v\) and H → ZZ → 4\(l\) decay channels, JHEP, 02, 043, (2008)
[53] Alioli, S.; etal., Combining higher-order resummation with multiple NLO calculations and parton showers in GENEVA, JHEP, 09, 120, (2013)
[54] Banfi, A.; McAslan, H.; Monni, PF; Zanderighi, G., A general method for the resummation of event-shape distributions in e\^{}{+}e\^{}{-} annihilation, JHEP, 05, 102, (2015)
[55] Becher, T.; Frederix, R.; Neubert, M.; Rothen, L., Automated N NLL + NLO resummation for jet-veto cross sections, Eur. Phys. J., C 75, 154, (2015)
[56] Alwall, J.; etal., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP, 07, 079, (2014)
[57] S. Catani and M. Grazzini, An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC, Phys. Rev. Lett. 98 (2007) 222002 [hep-ph/0703012] [inSPIRE].
[58] Gaunt, JR, Glauber gluons and multiple parton interactions, JHEP, 07, 110, (2014)
[59] G.T. Bodwin, Factorization of the Drell-Yan Cross-Section in Perturbation Theory, Phys. Rev. D 31 (1985) 2616 [Erratum ibid.D 34 (1986) 3932] [inSPIRE]\(.\)
[60] Collins, JC; Soper, DE; Sterman, GF, Factorization for short distance hadron-hadron scattering, Nucl. Phys. B, 261, 104, (1985)
[61] Collins, JC; Soper, DE; Sterman, GF, Soft gluons and factorization, Nucl. Phys., B 308, 833, (1988)
[62] J. Collins, Foundations of perturbative QCD, Cambridge monographs on particle physics, nuclear physics and cosmology, 32, Cambridge University Press (2013).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.