Exclusive final states in diffractive excitation
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Abstract
In this paper we describe a formalism for generating exclusive final states in diffractive excitation, based on the optical analogy where diffraction is fully determined by the absorption into inelastic channels. The formalism is based on the Good-Walker formalism for diffractive excitation, and it is assumed that the virtual parton cascades represent the diffractive eigenstates defined by a definite absorption amplitude. We emphasize that, although diffractive excitation is basically a quantum-mechanical phenomenon with strong interference effects, it is possible to calculate the different interfering components to the amplitude in an event generator, add them and thus calculate the reaction cross section for exclusive diffractive final states. The formalism is implemented in the DIPSY event generator, introducing no tunable parameters beyond what has been determined previously in studies of non-diffractive events. Some early results for DIS and proton-proton collisions are presented, and compared to experimental data.
Keywords
Phenomenological Models Monte Carlo SimulationsReferences
- [1]H1 collaboration, C. Adloff et al., Inclusive measurement of diffractive deep inelastic ep scattering, Z. Phys. C 76 (1997) 613 [hep-ex/9708016] [INSPIRE].Google Scholar
- [2]ZEUS collaboration, S. Chekanov et al., Study of deep inelastic inclusive and diffractive scattering with the ZEUS forward plug calorimeter, Nucl. Phys. B 713 (2005) 3 [hep-ex/0501060] [INSPIRE].ADSGoogle Scholar
- [3]UA4 collaboration, D. Bernard et al., Pseudorapidity distribution of charged particles in diffraction dissociation events at the CERN SPS collider, Phys. Lett. B 166 (1986) 459 [INSPIRE].ADSGoogle Scholar
- [4]UA5 collaboration, R. Ansorge et al., Diffraction dissociation at the CERN pulsed collider at cm energies of 900 GeV and 200 GeV, Z. Phys. C 33 (1986) 175 [INSPIRE].ADSGoogle Scholar
- [5]CDF collaboration, F. Abe et al., Measurement of \( \overline{p} \) p single diffraction dissociation at \( \sqrt{s}=546 \) GeV and 1800GeV, Phys. Rev. D 50 (1994) 5535 [INSPIRE].ADSGoogle Scholar
- [6]A.H. Mueller, O(2, 1) analysis of single particle spectra at high-energy, Phys. Rev. D 2 (1970) 2963 [INSPIRE].ADSGoogle Scholar
- [7]C.E. DeTar et al., Helicity poles, triple-regge behavior and single-particle spectra in high-energy collisions, Phys. Rev. Lett. 26 (1971) 675 [INSPIRE].ADSCrossRefGoogle Scholar
- [8]V. Abramovsky, V. Gribov and O. Kancheli, Character of inclusive spectra and fluctuations produced in inelastic processes by multi-pomeron exchange, Yad. Fiz. 18 (1973) 595 [INSPIRE].Google Scholar
- [9]A. Kaidalov and M. Poghosyan, Predictions of quark-gluon String Model for pp at LHC, Eur. Phys. J. C 67 (2010) 397 [arXiv:0910.2050] [INSPIRE].ADSCrossRefGoogle Scholar
- [10]S. Ostapchenko, Monte Carlo treatment of hadronic interactions in enhanced Pomeron scheme: I. QGSJET-II model, Phys. Rev. D 83 (2011) 014018 [arXiv:1010.1869] [INSPIRE].ADSGoogle Scholar
- [11]M. Ryskin, A. Martin and V. Khoze, High-energy strong interactions: from ‘hard’ to ‘soft’, Eur. Phys. J. C 71 (2011) 1617 [arXiv:1102.2844] [INSPIRE].ADSCrossRefGoogle Scholar
- [12]M. Ryskin, A. Martin and V. Khoze, Proton Opacity in the Light of LHC Diffractive Data, Eur. Phys. J. C 72 (2012) 1937 [arXiv:1201.6298] [INSPIRE].ADSCrossRefGoogle Scholar
- [13]E. Gotsman, A. Kormilitzin, E. Levin and U. Maor, QCD motivated approach to soft interactions at high energies: nucleus-nucleus and hadron-nucleus collisions, Nucl. Phys. A 842 (2010) 82 [arXiv:0912.4689] [INSPIRE].ADSGoogle Scholar
- [14]E. Gotsman, E. Levin and U. Maor, Soft interaction model and the LHC data, Phys. Rev. D 85 (2012) 094007 [arXiv:1203.2419] [INSPIRE].ADSGoogle Scholar
- [15]E. Gotsman, E. Levin and U. Maor, Description of LHC data in a soft interaction model, Phys. Lett. B 716 (2012) 425 [arXiv:1208.0898] [INSPIRE].ADSGoogle Scholar
- [16]A. Martin et al., Diffractive physics, PoS(QNP2012)017 [arXiv:1206.2124] [INSPIRE].
- [17]M. Good and W. Walker, Diffraction disssociation of beam particles, Phys. Rev. 120 (1960) 1857 [INSPIRE].ADSCrossRefGoogle Scholar
- [18]H.I. Miettinen and J. Pumplin, Diffraction Scattering and the Parton Structure of Hadrons, Phys. Rev. D 18 (1978) 1696 [INSPIRE].ADSGoogle Scholar
- [19]A.H. Mueller, Small x Behavior and Parton Saturation: A QCD Model, Nucl. Phys. B 335 (1990) 115 [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
- [20]Y. Hatta, E. Iancu, C. Marquet, G. Soyez and D. Triantafyllopoulos, Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large-N c, Nucl. Phys. A 773 (2006) 95 [hep-ph/0601150] [INSPIRE].ADSMATHGoogle Scholar
- [21]E. Avsar, G. Gustafson and L. Lönnblad, Diifractive excitation in DIS and pp collisions, JHEP 12 (2007) 012 [arXiv:0709.1368] [INSPIRE].ADSGoogle Scholar
- [22]C. Flensburg and G. Gustafson, Fluctuations, saturation and diffractive excitation in high energy collisions, JHEP 10 (2010) 014 [arXiv:1004.5502] [INSPIRE].ADSCrossRefGoogle Scholar
- [23]G. Gustafson, The Relation between the Good-Walker and Triple-Regge Formalisms for Diffractive Excitation, arXiv:1206.1733 [INSPIRE].
- [24]A. Edin, G. Ingelman and J. Rathsman, Soft color interactions as the origin of rapidity gaps in DIS, Phys. Lett. B 366 (1996) 371 [hep-ph/9508386] [INSPIRE].ADSGoogle Scholar
- [25]R. Pasechnik, R. Enberg and G. Ingelman, Diffractive deep inelastic scattering from multiple soft gluon exchange in QCD, Phys. Lett. B 695 (2011) 189 [arXiv:1004.2912] [INSPIRE].ADSGoogle Scholar
- [26]K.J. Golec-Biernat and M. Wusthoff, Saturation in diffractive deep inelastic scattering, Phys. Rev. D 60 (1999) 114023 [hep-ph/9903358] [INSPIRE].ADSGoogle Scholar
- [27]K.J. Golec-Biernat and M. Wusthoff, Diffractive parton distributions from the saturation model, Eur. Phys. J. C 20 (2001) 313 [hep-ph/0102093] [INSPIRE].ADSCrossRefGoogle Scholar
- [28]K.A. Goulianos, Renormalization of hadronic diffraction and the structure of the Pomeron, Phys. Lett. B 358 (1995) 379 [Erratum ibid. B 363 (1995) 268] [hep-ph/9502356] [INSPIRE].
- [29]EHS/NA22 collaboration, M. Adamus et al., Single diffraction dissociation in π+ p and K + p interactions at 250 GeV/c, Z. Phys. C 39 (1988) 301 [INSPIRE].Google Scholar
- [30]R608 collaboration, A. Smith et al., Evidence for Pomeron single quark interactions in proton diffraction at the ISR, Phys. Lett. B 163 (1985) 267 [INSPIRE].ADSGoogle Scholar
- [31]R608 collaboration, A. Smith et al., Observation of longitudinal event structure in proton diffractive dissociation at the ISR, Phys. Lett. B 167 (1986) 248 [INSPIRE].ADSGoogle Scholar
- [32]A. Donnachie and P. Landshoff, Elastic Scattering and Diffraction Dissociation, Nucl. Phys. B 244 (1984) 322 [INSPIRE].ADSCrossRefGoogle Scholar
- [33]H1 collaboration, C. Adloff et al., Thrust jet analysis of deep inelastic large rapidity gap events, Eur. Phys. J. C 1 (1998) 495 [hep-ex/9711006] [INSPIRE].ADSCrossRefGoogle Scholar
- [34]UA8 collaboration, R. Bonino et al., Evidence for Transverse Jets in High Mass Diffraction, Phys. Lett. B 211 (1988) 239 [INSPIRE].ADSGoogle Scholar
- [35]CDF collaboration, T. Affolder et al., Diffractive dijets with a leading antiproton in \( \overline{p} \) p collisions at \( \sqrt{s}=1800 \) GeV, Phys. Rev. Lett. 84 (2000) 5043 [INSPIRE].ADSCrossRefGoogle Scholar
- [36]D0 collaboration, B. Abbott et al., Hard single diffraction in \( \overline{p} \) p collisions at \( \sqrt{s}=630 \) GeV and 1800 GeV, Phys. Lett. B 531 (2002) 52 [hep-ex/9912061] [INSPIRE].Google Scholar
- [37]ZEUS collaboration, S. Chekanov et al., Dijet production in diffractive deep inelastic scattering at HERA, Eur. Phys. J. C 52 (2007) 813 [arXiv:0708.1415] [INSPIRE].ADSCrossRefGoogle Scholar
- [38]H1 collaboration, F. Aaron et al., Measurement of Dijet Production in Diffractive Deep-Inelastic Scattering with a Leading Proton at HERA, Eur. Phys. J. C 72 (2012) 1970 [arXiv:1111.0584] [INSPIRE].ADSCrossRefGoogle Scholar
- [39]CDF collaboration, T. Aaltonen et al., Observation of Exclusive Dijet Production at the Fermilab Tevatron p − \( \overline{p} \) Collider, Phys. Rev. D 77 (2008) 052004 [arXiv:0712.0604] [INSPIRE].ADSGoogle Scholar
- [40]CDF collaboration, A. Abulencia et al., Observation of Exclusive Electron-Positron Production in Hadron-Hadron Collisions, Phys. Rev. Lett. 98 (2007) 112001 [hep-ex/0611040] [INSPIRE].ADSCrossRefGoogle Scholar
- [41]G. Ingelman and P. Schlein, Jet Structure in High Mass Diffractive Scattering, Phys. Lett. B 152 (1985) 256 [INSPIRE].ADSGoogle Scholar
- [42]ZEUS collaboration, S. Chekanov et al., A QCD analysis of ZEUS diffractive data, Nucl. Phys. B 831 (2010) 1 [arXiv:0911.4119] [INSPIRE].ADSGoogle Scholar
- [43]P. Bruni, A. Edin and G. Ingelman, POMPYT version 2.6, unpublished.Google Scholar
- [44]H. Jung, Hard diffractive scattering in high-energy e p collisions and the Monte Carlo generator RAPGAP, Comput. Phys. Commun. 86 (1995) 147 [INSPIRE].ADSCrossRefGoogle Scholar
- [45]T. Sjöstrand, S. Mrenna and P.Z. Skands, A brief introduction to PYTHIA 8.1, Comput. Phys. Commun. 178 (2008) 852 [arXiv:0710.3820] [INSPIRE].ADSMATHCrossRefGoogle Scholar
- [46]E. Avsar, G. Gustafson and L. Lönnblad, Energy conservation and saturation in small-x evolution, JHEP 07 (2005) 062 [hep-ph/0503181] [INSPIRE].ADSCrossRefGoogle Scholar
- [47]C. Flensburg, G. Gustafson and L. Lönnblad, Inclusive and exclusive observables from dipoles in high energy collisions, JHEP 08 (2011) 103 [arXiv:1103.4321] [INSPIRE].ADSCrossRefGoogle Scholar
- [48]R. Glauber, in Lectures in Theoretical Physics. Vol. I, W. Brittin and L. Dunham eds., Interscience Publishers Inc., New York U.S.A. (1957), p. 315.Google Scholar
- [49]A.H. Mueller, Soft gluons in the infinite momentum wave function and the BFKL Pomeron, Nucl. Phys. B 415 (1994) 373 [INSPIRE].ADSCrossRefGoogle Scholar
- [50]A.H. Mueller and B. Patel, Single and double BFKL Pomeron exchange and a dipole picture of high-energy hard processes, Nucl. Phys. B 425 (1994) 471 [hep-ph/9403256] [INSPIRE].ADSCrossRefGoogle Scholar
- [51]A.H. Mueller, Unitarity and the BFKL Pomeron, Nucl. Phys. B 437 (1995) 107 [hep-ph/9408245] [INSPIRE].ADSCrossRefGoogle Scholar
- [52]E. Avsar, G. Gustafson and L. Lönnblad, Small-x dipole evolution beyond the large-N c imit, JHEP 01 (2007) 012 [hep-ph/0610157] [INSPIRE].ADSGoogle Scholar
- [53]C. Flensburg, G. Gustafson and L. Lönnblad, Elastic and quasi-elastic pp and γ * p scattering in the Dipole Model, Eur. Phys. J. C 60 (2009) 233 [arXiv:0807.0325] [INSPIRE].ADSCrossRefGoogle Scholar
- [54]G.P. Salam, An introduction to leading and next-to-leading BFKL, Acta Phys. Polon. B 30 (1999) 3679 [hep-ph/9910492] [INSPIRE].ADSGoogle Scholar
- [55]J. Kwiecinski, A.D. Martin and P. Sutton, Constraints on gluon evolution at small x, Z. Phys. C 71 (1996) 585 [hep-ph/9602320] [INSPIRE].ADSGoogle Scholar
- [56]I. Balitsky and G.A. Chirilli, NLO evolution of color dipole, Acta Phys. Polon. B 39 (2008) 2561 [INSPIRE].ADSGoogle Scholar
- [57]E. Avsar, On the high energy behaviour of the total cross section in the QCD dipole model, JHEP 04 (2008) 033 [arXiv:0803.0446] [INSPIRE].ADSCrossRefGoogle Scholar
- [58]S. Catani, F. Fiorani and G. Marchesini, Small x behavior of initial state radiation in perturbative QCD, Nucl. Phys. B 336 (1990) 18 [INSPIRE].ADSCrossRefGoogle Scholar
- [59]M. Ciafaloni, Coherence effects in initial jets at small Q 2 /s, Nucl. Phys. B 296 (1988) 49 [INSPIRE].ADSCrossRefGoogle Scholar
- [60]B. Andersson, G. Gustafson and J. Samuelsson, The linked dipole chain model for DIS, Nucl. Phys. B 467 (1996) 443 [INSPIRE].ADSCrossRefGoogle Scholar
- [61]G. Salam, Soft emissions and the equivalence of BFKL and CCFM final states, JHEP 03 (1999) 009 [hep-ph/9902324] [INSPIRE].ADSCrossRefGoogle Scholar
- [62]G. Gustafson and G. Miu, Minijets and transverse energy flow in high-energy collisions, Phys. Rev. D 63 (2001) 034004 [hep-ph/0002278] [INSPIRE].ADSGoogle Scholar
- [63]M. Bahr et al., HERWIG++ physics and manual, Eur. Phys. J. C 58 (2008) 639 [arXiv:0803.0883] [INSPIRE].ADSCrossRefGoogle Scholar
- [64]G. Gustafson, Dual description of a confined color field, Phys. Lett. B 175 (1986) 453 [INSPIRE].ADSGoogle Scholar
- [65]G. Gustafson and U. Pettersson, Dipole formulation of QCD cascades, Nucl. Phys. B 306 (1988) 746 [INSPIRE].ADSCrossRefGoogle Scholar
- [66]L. Lönnblad, ARIADNE version 4: A Program for simulation of QCD cascades implementing the color dipole model, Comput. Phys. Commun. 71 (1992) 15 [INSPIRE].ADSCrossRefGoogle Scholar
- [67]B. Andersson, G. Gustafson and B. Soderberg, A general model for jet fragmentation, Z. Phys. C 20 (1983) 317 [INSPIRE].ADSGoogle Scholar
- [68]B. Andersson, G. Gustafson, G. Ingelman and T. Sjöstrand, Parton fragmentation and string dynamics, Phys. Rept. 97 (1983) 31 [INSPIRE].ADSCrossRefGoogle Scholar
- [69]T. Sjöstrand, S. Mrenna and P.Z. Skands, PYTHIA 6.4 physics and manual, JHEP 05 (2006) 026 [hep-ph/0603175] [INSPIRE].ADSCrossRefGoogle Scholar
- [70]H1 collaboration, C. Adloff et al., Multiplicity structure of the hadronic final state in diffractive deep inelastic scattering at HERA, Eur. Phys. J. C 5 (1998) 439 [hep-ex/9804012] [INSPIRE].ADSCrossRefGoogle Scholar
- [71]H1 collaboration, C. Adloff et al., Hadron production in diffractive deep inelastic scattering, Phys. Lett. B 428 (1998) 206 [hep-ex/9803032] [INSPIRE].ADSGoogle Scholar