Unitarisation dependence of diffractive scattering in light of high-energy collider data

[en] We study the consequences of high-energy collider data on the best fits to total, elastic, inelastic, and single-diffractive cross sections for pp and pp¯ scattering using different unitarisation schemes. We find that the data are well fitted both by eikonal and U-matrix schemes, but that diffractive data prefer the U-matrix. Both schemes may be generalised by means of an additional parameter; however, this yields only marginal improvements to the fits. We provide estimates for ρ, the ratio of the real part to the imaginary part of the elastic amplitude, for the different fits. We comment on the effect of the different schemes on present and future cosmic ray data.

Disciplines :

Physics

Author, co-author :

Vanthieghem, Arno; High Energy Density Science Division (HEDS), SLAC National Accelerator Laboratory, California, United States

Bhattacharya, Atri ; Université de Liège - ULiège > Département d'astrophysique, géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique (IFPA)

Oueslati, Rami ; Université de Liège - ULiège > Unités de recherche interfacultaires > Space sciences, Technologies and Astrophysics Research (STAR)

Cudell, Jean-René ; Université de Liège - ULiège > Unités de recherche interfacultaires > Space sciences, Technologies and Astrophysics Research (STAR)

Language :

English

Title :

Unitarisation dependence of diffractive scattering in light of high-energy collider data

Publication date :

02 September 2021

Journal title :

Journal of High Energy Physics

ISSN :

1126-6708

eISSN :

1029-8479

Publisher :

Springer Science and Business Media Deutschland GmbH

Volume :

2021

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://link.springer.com/content/pdf/10.1007/JHEP09(2021)005.pdf

Available on ORBi :

since 15 May 2022

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Bibliography

A. Donnachie and P.V. Landshoff, pp and pp¯ total cross sections and elastic scattering, Phys. Lett. B 727 (2013) 500 [arXiv:1309.1292] [INSPIRE].
[Erratum ibid. 750 (2015) 669]
E. Gotsman, E.M. Levin and U. Maor, Diffractive dissociation and eikonalization in high-energy pp and pp¯ collisions, Phys. Rev. D 49 (1994) R4321 [hep-ph/9310257] [INSPIRE].
A.I. Shoshi, F.D. Steffen and H.J. Pirner, S matrix unitarity, impact parameter profiles, gluon saturation and high-energy scattering, Nucl. Phys. A 709 (2002) 131 [hep-ph/0202012] [INSPIRE].
O.V. Selyugin and J.R. Cudell, Saturation effects in pp scattering in the impact-parameter representation, Nucl. Phys. B Proc. Suppl. 146 (2005) 185 [hep-ph/0412338] [INSPIRE].
J.R. Cudell, E. Predazzi and O.V. Selyugin, New analytic unitarisation schemes, Phys. Rev. D 79 (2009) 034033 [arXiv:0812.0735] [INSPIRE]. DOI: 10.1103/PhysRevD.79.034033
ALICE collaboration, Measurement of inelastic, single- and double-diffraction cross sections in proton-proton collisions at the LHC with ALICE, Eur. Phys. J. C 73 (2013) 2456 [arXiv:1208.4968] [INSPIRE].
ATLAS collaboration, Measurement of the total cross section from elastic scattering in pp collisions at √s = 7 TeV with the ATLAS detector, Nucl. Phys. B 889 (2014) 486 [arXiv:1408.5778] [INSPIRE].
ATLAS collaboration, Measurement of the total cross section from elastic scattering in pp collisions at √ s = 8 TeV with the ATLAS detector, Phys. Lett. B 761 (2016) 158 [arXiv:1607.06605] [INSPIRE].
ATLAS collaboration, Measurement of the Inelastic Proton-Proton Cross-Section at √ s = 7 TeV with the ATLAS Detector, Nature Commun. 2 (2011) 463 [arXiv:1104.0326] [INSPIRE].
ATLAS collaboration, Inelastic proton cross section at 13 TeV with ATLAS, PoS ICHEP2016 (2017) 1127 [INSPIRE].
CMS collaboration, Measurement of the inelastic proton-proton cross section at √s = 13 TeV, JHEP 07 (2018) 161 [arXiv:1802.02613] [INSPIRE].
LHCb collaboration, Measurement of the inelastic pp cross-section at a centre-of-mass energy of 13 TeV, JHEP 06 (2018) 100 [arXiv:1803.10974] [INSPIRE].
G. Antchev et al., First measurement of the total proton-proton cross section at the LHC energy of √s = 7 TeV, EPL 96 (2011) 21002 [arXiv:1110.1395] [INSPIRE].
TOTEM collaboration, Measurement of proton-proton elastic scattering and total cross-section at √ s = 7 TeV, EPL 101 (2013) 21002 [INSPIRE].
TOTEM collaboration, Luminosity-independent measurements of total, elastic and inelastic cross-sections at √s = 7 TeV, EPL 101 (2013) 21004 [INSPIRE].
TOTEM collaboration, Luminosity-Independent Measurement of the Proton-Proton Total Cross Section at √ s = 8 TeV, Phys. Rev. Lett. 111 (2013) 012001 [INSPIRE].
TOTEM collaboration, First measurement of elastic, inelastic and total cross-section at √s = 13 TeV by TOTEM and overview of cross-section data at LHC energies, Eur. Phys. J. C 79 (2019) 103 [arXiv:1712.06153] [INSPIRE].
TOTEM collaboration, Measurement of proton-proton inelastic scattering cross-section at √s = 7 TeV, EPL 101 (2013) 21003 [INSPIRE].
UA4 collaboration, Measurement of the proton-antiproton total and elastic cross-sections at the CERN SPS collider, Phys. Lett. B 147 (1984) 392 [INSPIRE].
UA5 collaboration, Antiproton-proton cross sections at 200 and 900 GeV c.m. energy, Z. Phys. C 32 (1986) 153 [INSPIRE].
CDF collaboration, Measurement of small angle p p ¯ elastic scattering at √s = 546 GeV and 1800 GeV, Phys. Rev. D 50 (1994) 5518 [INSPIRE].
E-710 collaboration, A Luminosity Independent Measurement of the p p ¯ Total Cross-section at √s = 1.8 TeV, Phys. Lett. B 243 (1990) 158 [INSPIRE].
E710 collaboration, p p ¯ Elastic Scattering at √s = 1020 GeV, Nuovo Cim. A 106 (1993) 123 [INSPIRE].
CDF collaboration, Measurement of p p ¯ single diffraction dissociation at √s = 546 GeV and 1800 GeV, Phys. Rev. D 50 (1994) 5535 [INSPIRE].
E811 collaboration, A Measurement of the proton-antiproton total cross-section at √s = 1.8 TeV, Phys. Lett. B 445 (1999) 419 [INSPIRE].
E-811 collaboration, The Ratio, ρ, of the Real to the Imaginary Part of the pp¯ Forward Elastic Scattering Amplitude at √ s = 1.8 TeV, Phys. Lett. B 537 (2002) 41 [INSPIRE].
F. Riehn, R. Engel, A. Fedynitch, T.K. Gaisser and T. Stanev, Hadronic interaction model Sibyll 2. 3d and extensive air showers, Phys. Rev. D 102 (2020) 063002 [arXiv:1912.03300] [INSPIRE].
S. Ostapchenko, QGSJET-III model: physics and preliminary results, EPJ Web Conf. 208 (2019) 11001 [INSPIRE]. DOI: 10.1051/epjconf/201920811001
L. Anchordoqui et al., High energy physics in the atmosphere: Phenomenology of cosmic ray air showers, Annals Phys. 314 (2004) 145 [hep-ph/0407020] [INSPIRE].
Pierre Auger collaboration, The Pierre Auger Cosmic Ray Observatory, Nucl. Instrum. Meth. A 798 (2015) 172 [arXiv:1502.01323] [INSPIRE].
Telescope Array collaboration, Telescope array experiment, Nucl. Phys. B Proc. Suppl. 175-176 (2008) 221 [INSPIRE].
IceCube collaboration, IceTop: The surface component of IceCube, Nucl. Instrum. Meth. A 700 (2013) 188 [arXiv:1207.6326] [INSPIRE].
A. Bhattacharya, J.-R. Cudell, R. Oueslati and A. Vanthieghem, Proton inelastic cross section at ultrahigh energies, Phys. Rev. D 103 (2021) L051502 [arXiv:2012.07970] [INSPIRE].
M.L. Good and W.D. Walker, Diffraction disssociation of beam particles, Phys. Rev. 120 (1960) 1857 [INSPIRE]. DOI: 10.1103/PhysRev.120.1857
J.R. Cudell, A. Lengyel and E. Martynov, The Soft and the hard Pomerons in hadron elastic scattering at small t, Phys. Rev. D 73 (2006) 034008 [hep-ph/0511073] [INSPIRE].
J.R. Cudell and O.V. Selyugin, Saturation regimes at LHC energies, Czech. J. Phys. 54 (2004) A441 [hep-ph/0309194] [INSPIRE].
A.A. Logunov, V.I. Savrin, N.E. Tyurin and O.A. Khrustalev, Equal-time equation for two-particle system in quantum field theory, Teor. Mat. Fiz. 6 (1971) 157 [INSPIRE]. DOI: 10.1007/BF01036573
V. Savrin, N. Tyurin and O. Khrustalev, The U matrix method in the theory of strong interactions, Fiz. Elem. Chast. Atom. Yadra 7 (1976) 21.
UA5 collaboration, UA5: A general study of proton-antiproton physics at √s = 546 GeV, Phys. Rept. 154 (1987) 247 [INSPIRE].
E710 collaboration, Diffraction dissociation in p p ¯ collisions at √s = 1.8 TeV, Phys. Lett. B 301 (1993) 313 [INSPIRE].
A. Donnachie and P.V. Landshoff, Soft diffraction dissociation, hep-ph/0305246 [INSPIRE].
E. Gotsman, E. Levin and U. Maor, The Survival probability of large rapidity gaps in a three channel model, Phys. Rev. D 60 (1999) 094011 [hep-ph/9902294] [INSPIRE].
Pierre Auger collaboration, Measurement of the Fluctuations in the Number of Muons in Extensive Air Showers with the Pierre Auger Observatory, Phys. Rev. Lett. 126 (2021) 152002 [arXiv:2102.07797] [INSPIRE].
E. Gotsman, E. Levin and U. Maor, A comprehensive model of soft interactions in the LHC era, Int. J. Mod. Phys. A 30 (2015) 1542005 [arXiv:1403.4531] [INSPIRE]. DOI: 10.1142/S0217751X15420051
V.A. Khoze, A.D. Martin and M.G. Ryskin, Diffraction at the LHC, Eur. Phys. J. C 73 (2013) 2503 [arXiv:1306.2149] [INSPIRE]. DOI: 10.1140/epjc/s10052-013-2503-x
V.A. Khoze, A.D. Martin and M.G. Ryskin, Elastic and diffractive scattering at the LHC, Phys. Lett. B 784 (2018) 192 [arXiv:1806.05970] [INSPIRE]. DOI: 10.1016/j.physletb.2018.07.054
V.A. Khoze, A.D. Martin and M.G. Ryskin, Multiple interactions and rapidity gap survival, J. Phys. G 45 (2018) 053002 [arXiv:1710.11505] [INSPIRE]. DOI: 10.1088/1361-6471/aab1bf
Particle Data Group collaboration, Review of Particle Physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
A. Fedynitch, F. Riehn, R. Engel, T.K. Gaisser and T. Stanev, Hadronic interaction model sibyll 2.3c and inclusive lepton fluxes, Phys. Rev. D 100 (2019) 103018 [arXiv:1806.04140] [INSPIRE].
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].
J.R. Cudell, K. Kang and S.K. Kim, Simple pole fits to pp and p p ¯ total cross-sections and real parts, Phys. Lett. B 395 (1997) 311 [hep-ph/9601336] [INSPIRE].
M.M. Block, Sifting data in the real world, Nucl. Instrum. Meth. A 556 (2006) 308 [physics/0506010] [INSPIRE].
UA5 collaboration, Diffraction Dissociation at the CERN Pulsed Collider at CM Energies of 900-GeV and 200-GeV, Z. Phys. C 33 (1986) 175 [INSPIRE].
CDF collaboration, Double Diffraction Dissociation at the Fermilab Tevatron Collider, Phys. Rev. Lett. 87 (2001) 141802 [hep-ex/0107070] [INSPIRE].
A. Donnachie and P.V. Landshoff, Small t elastic scattering and the ρ parameter, Phys. Lett. B 798 (2019) 135008 [arXiv:1904.11218] [INSPIRE]. DOI: 10.1016/j.physletb.2019.135008
TOTEM collaboration, First determination of the ρ parameter at √s = 13 TeV: probing the existence of a colourless C-odd three-gluon compound state, Eur. Phys. J. C 79 (2019) 785 [arXiv:1812.04732] [INSPIRE].
J.R. Cudell and O.V. Selyugin, TOTEM data and the real part of the hadron elastic amplitude at 13 TeV, arXiv:1901.05863 [INSPIRE].