CMS-FSQ-17-001 ; CERN-EP-2018-325 | ||
Measurement of inclusive very forward jet cross sections in proton-lead collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | ||
CMS Collaboration | ||
4 December 2018 | ||
JHEP 05 (2019) 043 | ||
Abstract: Measurements of differential cross sections for inclusive very forward jet production in proton-lead collisions as a function of jet energy are presented. The data were collected with the CMS experiment at the LHC in the laboratory pseudorapidity range $-6.6 < \eta < -5.2$. Asymmetric beam energies of 4 TeV for protons and 1.58 TeV per nucleon for Pb nuclei were used, corresponding to a center-of-mass energy per nucleon pair of ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV. Collisions with either the proton (p+Pb) or the ion (Pb+p) traveling towards the negative $\eta$ hemisphere are studied. The jet cross sections are unfolded to stable-particle level cross sections with ${p_{\mathrm{T}}} \geq $ 3 GeV, and compared to predictions from various Monte Carlo event generators. In addition, the cross section ratio of p+Pb and Pb+p data is presented. The results are discussed in terms of the saturation of gluon densities at low fractional parton momenta. None of the models under consideration describes all the data over the full jet-energy range and for all beam configurations. Discrepancies between the differential cross sections in data and model predictions of more than two orders of magnitude are observed. | ||
Links: e-print arXiv:1812.01691 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; |
Figures | |
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Figure 1:
A schematic drawing of one half of the CASTOR calorimeter and its mechanical support structure. The diameter of CASTOR is roughly 0.6 m and it is approximately 1.6 m in length. The transversal and longitudinal segmentation in eight sectors and fourteen modules, respectively, can be clearly distinguished. The 112 small cylinders represent the photomultiplier tubes of CASTOR. These are mounted on light guides, which transport the Cherenkov radiation out of the detector. It may be observed that CASTOR has only transverse and no $\eta $ segmentation. |
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Figure 2:
Detector-level differential cross sections for inclusive forward jet production as a function of calibrated jet energy in p+Pb (left) and Pb+p (right) collisions. Model predictions are shown for EPOS-LHC, HIJING, and QGSJETII-04. |
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Figure 2-a:
Detector-level differential cross sections for inclusive forward jet production as a function of calibrated jet energy in p+Pb collisions. Model predictions are shown for EPOS-LHC, HIJING, and QGSJETII-04. |
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Figure 2-b:
Detector-level differential cross sections for inclusive forward jet production as a function of calibrated jet energy in Pb+p collisions. Model predictions are shown for EPOS-LHC, HIJING, and QGSJETII-04. |
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Figure 3:
Detector-level ratio of differential cross sections for inclusive forward jet production in p+Pb to Pb+p data vs. calibrated jet energy. Model predictions are shown for EPOS-LHC, HIJING, and QGSJETII-04. |
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Figure 4:
Stable-particle-level differential jet cross section as a function of jet energy measured in p+Pb collisions at 5.02 TeV, compared to the EPOS-LHC, HIJING, and QGSJETII-04 (left), and KATIE and AAMQS (right) predictions. The band associated with the nonlinear KATIE curve accounts for the 50-100% variation of the strength of the parton saturation effects in this model. |
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Figure 4-a:
Stable-particle-level differential jet cross section as a function of jet energy measured in p+Pb collisions at 5.02 TeV, compared to the EPOS-LHC, HIJING, and QGSJETII-04 predictions. The band associated with the nonlinear KATIE curve accounts for the 50-100% variation of the strength of the parton saturation effects in this model. |
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Figure 4-b:
Stable-particle-level differential jet cross section as a function of jet energy measured in p+Pb collisions at 5.02 TeV, compared to the KATIE and AAMQS predictions. The band associated with the nonlinear KATIE curve accounts for the 50-100% variation of the strength of the parton saturation effects in this model. |
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Figure 5:
Stable-particle-level differential jet cross section as a function of jet energy in proton-lead collisions at 5.02 TeV. The Pb+p measurement is depicted (left), and the ratio of the p+Pb to Pb+p cross sections is displayed (right). The data are compared to model predictions from EPOS-LHC, HIJING, and QGSJETII-04. |
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Figure 5-a:
Stable-particle-level differential jet cross section as a function of jet energy in proton-lead collisions at 5.02 TeV. The Pb+p measurement is depicted. The data are compared to model predictions from EPOS-LHC, HIJING, and QGSJETII-04. |
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Figure 5-b:
Stable-particle-level differential jet cross section as a function of jet energy in proton-lead collisions at 5.02 TeV. The ratio of the p+Pb to Pb+p cross sections is displayed. The data are compared to model predictions from EPOS-LHC, HIJING, and QGSJETII-04. |
Tables | |
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Table 1:
The contribution in percentage (%) of various sources of systematic uncertainty in the highest and lowest common energy bins for the p+Pb, Pb+p, and p+Pb/Pb+p spectra. |
Summary |
Measurements of the differential inclusive forward jet cross sections in proton-lead collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV have been presented. The measurements are performed in the laboratory pseudorapidity range $-6.6 < \eta < -5.2$, and as a function of jet energy over the range $E\approx $ 150-2500 GeV. Collisions with either the incoming proton (p+Pb) or the incoming ion (Pb+p) directed towards the negative $\eta$ hemisphere are studied. The jet cross sections are unfolded to stable-particle level cross sections with ${p_{\mathrm{T}}} \geq $ 3 GeV and compared to predictions from various Monte Carlo event generators. The cross section ratio for p+Pb to Pb+p data as a function of jet energy has also been measured, and exhibits a much smaller systematic uncertainty than the individual spectra. The so-far unexplored kinematic phase space covered by this measurement is sensitive to the parton densities and their evolution at low fractional momenta. Models incorporating various implementations of gluon saturation have been confronted with data. No model is, however, currently able to describe all aspects of the data. |
References | ||||
1 | G. Altarelli and G. Parisi | Asymptotic freedom in parton language | NPB 126 (1977) 298 | |
2 | Y. L. Dokshitzer | Calculation of the structure functions for deep inelastic scattering and $ e^{+}e{^{-}} $ annihilation by perturbation theory in quantum chromodynamics | Sov. Phys. JETP 46 (1977) 641. [\it Zh. Eksp. Teor. Fiz.\/ \bf 73, (1977) 1216] | |
3 | V. N. Gribov and L. N. Lipatov | Deep inelastic $ e $ p scattering in perturbation theory | Sov. J. NP 15 (1972) 438. [\it Yad. Fiz.\/ \bf 15, (1972) 781] | |
4 | CMS Collaboration | Dijet azimuthal decorrelations in pp collisions at $ \sqrt{s} = $ 7 TeV | PRL 106 (2011) 122003 | CMS-QCD-10-026 1101.5029 |
5 | CMS Collaboration | Measurement of the differential dijet production cross section in proton-proton collisions at $ \sqrt{s}= $ 7 TeV | PLB 700 (2011) 187 | CMS-QCD-10-025 1104.1693 |
6 | CMS Collaboration | Measurement of the inclusive production cross sections for forward jets and for dijet events with one forward and one central jet in pp collisions at $ \sqrt{s}= $ 7 TeV | JHEP 06 (2012) 036 | CMS-FWD-11-002 1202.0704 |
7 | CMS Collaboration | Ratios of dijet production cross sections as a function of the absolute difference in rapidity between jets in proton-proton collisions at $ \sqrt{s}= $ 7 TeV | EPJC 72 (2012) 2216 | CMS-FWD-10-014 1204.0696 |
8 | CMS Collaboration | Measurement of dijet azimuthal decorrelation in pp collisions at $ \sqrt{s}= $ 8 TeV | EPJC 76 (2016) 536 | CMS-SMP-14-015 1602.04384 |
9 | CMS Collaboration | Measurement of the triple-differential dijet cross section in proton-proton collisions at $ \sqrt{s}= $ 8 TeV and constraints on parton distribution functions | EPJC 77 (2017) 746 | CMS-SMP-16-011 1705.02628 |
10 | ATLAS Collaboration | Measurement of inclusive jet and dijet cross sections in proton-proton collisions at 7 TeV center-of-mass energy with the ATLAS detector | EPJC 71 (2011) 1512 | 1009.5908 |
11 | ATLAS Collaboration | Measurement of dijet production with a veto on additional central jet activity in pp collisions at $ \sqrt{s}= $ 7 TeV using the ATLAS detector | JHEP 09 (2011) 053 | 1107.1641 |
12 | ATLAS Collaboration | Measurement of inclusive jet and dijet production in pp collisions at $ \sqrt{s}= $ 7 TeV using the ATLAS detector | PRD 86 (2012) 014022 | 1112.6297 |
13 | ATLAS Collaboration | Measurement of dijet cross sections in pp collisions at 7 TeV center-of-mass energy using the ATLAS detector | JHEP 05 (2014) 059 | 1312.3524 |
14 | ATLAS Collaboration | Measurements of jet vetoes and azimuthal decorrelations in dijet events produced in pp collisions at $ \sqrt{s}=7 \mathrm{TeV} $ using the ATLAS detector | EPJC 74 (2014) 3117 | 1407.5756 |
15 | ATLAS Collaboration | Dijet production in $ \sqrt{s}= $ 7 TeV pp collisions with large rapidity gaps at the ATLAS experiment | PLB 754 (2016) 214 | 1511.00502 |
16 | E. A. Kuraev, L. N. Lipatov, and V. S. Fadin | The Pomeranchuk singularity in nonabelian gauge theories | Sov. Phys. JETP 45 (1977) 199 | |
17 | I. I. Balitsky and L. N. Lipatov | The Pomeranchuk singularity in quantum chromodynamics | Sov. J. NP 28 (1978) 822 | |
18 | E. A. Kuraev, L. N. Lipatov, and V. S. Fadin | Multi-Reggeon processes in the Yang-Mills theory | Sov. Phys. JETP 44 (1976) 443 | |
19 | H1 and ZEUS Collaborations | Combined measurement and QCD analysis of the inclusive $ e^{\pm}p $ scattering cross sections at HERA | JHEP 01 (2010) 109 | 0911.0884 |
20 | I. Balitsky | Operator expansion for high-energy scattering | NPB 463 (1996) 99 | hep-ph/9509348 |
21 | Y. V. Kovchegov | Small-$ x {F}_{2} $ structure function of a nucleus including multiple pomeron exchanges | PRD 60 (1999) 034008 | hep-ph/9901281 |
22 | A. H. Mueller and J. Qiu | Gluon recombination and shadowing at small values of $ x $ | NPB 268 (1986) 427 | |
23 | J. L. Albacete, A. Dumitru, H. Fujii, and Y. Nara | CGC predictions for p+Pb collisions at the LHC | NP A 897 (2013) 1 | 1209.2001 |
24 | J. L. Albacete, P. Guerrero Rodr\'iguez, and Y. Nara | Ultraforward particle production from color glass condensate and Lund fragmentation | PRD 94 (2016) 054004 | 1605.08334 |
25 | ALICE Collaboration | Measurement of charged jet production cross sections and nuclear modification in p-Pb collisions at $ \sqrt{s_{\text{NN}}} = $ 5.02 TeV | PLB 749 (2015) 68 | 1503.00681 |
26 | ATLAS Collaboration | Centrality and rapidity dependence of inclusive jet production in $ \sqrt{s_\text{NN}} = $ 5.02 TeV proton-lead collisions with the ATLAS detector | PLB 748 (2015) 392 | 1412.4092 |
27 | CMS Collaboration | Measurement of inclusive jet production and nuclear modifications in pPb collisions at $ \sqrt{s_{_\mathrm {NN}}} = $ 5.02 TeV | EPJC 76 (2016) 372 | CMS-HIN-14-001 1601.02001 |
28 | CMS Collaboration | Azimuthal decorrelation of jets widely separated in rapidity in pp collisions at $ \sqrt{s}= $ 7 TeV | JHEP 08 (2016) 139 | CMS-FSQ-12-002 1601.06713 |
29 | V. Andreev et al. | Performance studies of a full-length prototype for the CASTOR forward calorimeter at the CMS experiment | EPJC 67 (2010) 601 | |
30 | CMS Collaboration | The CMS experiment at the CERN LHC | JINST 3 (2008) S08004 | CMS-00-001 |
31 | T. Pierog et al. | EPOS LHC: Test of collective hadronization with data measured at the CERN Large Hadron Collider | PRC 92 (2015) 034906 | 1306.0121 |
32 | X.-N. Wang and M. Gyulassy | HIJING: A Monte Carlo model for multiple jet production in pp, pA, and AA collisions | PRD 44 (1991) 3501 | nucl-th/9502021 |
33 | S. Ostapchenko | QGSJET-II: Physics, recent improvements, and results for air showers | EPJ Web Conf. 52 (2013) 02001 | |
34 | GEANT Collaboration | GEANT4--a simulation toolkit | \it NIMA\/ 506 (2003) 250 | |
35 | A. van Hameren | KaTie : For parton-level event generation with $ k_{\mathrm{T}} $-dependent initial states | CPC 224 (2018) 371 | 1611.00680 |
36 | T. Sjostrand et al. | An introduction to PYTHIA 8.2 | Comput. Phys. Comm. 191 (2015) 159 | 1410.3012 |
37 | B. Andersson, G. Gustafson, and B. Nilsson-Almqvist | A model for low-$ {p_{\mathrm{T}}} $ hadronic reactions with generalizations to hadron-nucleus and nucleus-nucleus collisions | NPB 281 (1987) 289 | |
38 | A. Capella, U. Sukhatme, and J. Tran Thanh Van | Soft multi-hadron production from partonic structure and fragmentation functions | Z. Phys. C 3 (1979) 329 | |
39 | F. E. Close, J. Qiu, and R. G. Roberts | QCD parton recombination and applications to nuclear structure functions | PRD 40 (1989) 2820 | |
40 | L. Frankfurt and M. Strikman | Hard nuclear processes and microscopic nuclear structure | Phys. Rep. 160 (1988) 235 | |
41 | V. N. Gribov | A reggeon diagram technique | Sov. Phys. JETP 26 (1968) 414 | |
42 | V. N. Gribov and A. A. Migdal | Properties of the Pomeranchuk pole and the branch cuts related to it at low momentum transfer | Sov. J. NP 8 (1969) 583 | |
43 | H. J. Drescher et al. | Parton based Gribov-Regge theory | Phys. Rep. 350 (2001) 93 | hep-ph/0007198 |
44 | T. Pierog and K. Werner | Parton saturation and hydrodynamics in EPOS 3 | Acta Phys. Polon. Supp. 8 (2015) 1031 | |
45 | T. Pierog, C. Baus, and R. Ulrich | CRMC | link | |
46 | A. Dumitru, A. Hayashigaki, and J. Jalilian-Marian | The color glass condensate and hadron production in the forward region | NP A 765 (2006) 464 | hep-ph/0506308 |
47 | A. M. Stasto and D. Zaslavsky | Saturation in inclusive production beyond leading logarithm accuracy | Int. J. Mod. Phys. A 31 (2016) 1630039 | 1608.02285 |
48 | S. Catani, M. Ciafaloni, and F. Hautmann | High energy factorization and small-$ x $ heavy flavour production | NPB 366 (1991) 135 | |
49 | M. Deak, F. Hautmann, H. Jung, and K. Kutak | Forward jet production at the Large Hadron Collider | JHEP 09 (2009) 121 | 0908.0538 |
50 | K. Kutak and S. Sapeta | Gluon saturation in dijet production in p-Pb collisions at Large Hadron Collider | PRD 86 (2012) 094043 | 1205.5035 |
51 | H. L. Lai et al. | New parton distributions for collider physics | PRD 82 (2010) 074024 | 1007.2241 |
52 | H. Jung et al. | The CCFM Monte Carlo generator CASCADE version 2.2.03 | EPJC 70 (2010) 1237 | 1008.0152 |
53 | M. Bury et al. | Single inclusive jet production and the nuclear modification ratio at very forward rapidity in proton-lead collisions with $ \sqrt{s_{\mathrm{NN}}} = $ 5.02 TeV | PLB 780 (2018) 185 | 1712.08105 |
54 | L. D. McLerran and R. Venugopalan | Computing quark and gluon distribution functions for very large nuclei | PRD 49 (1994) 2233 | hep-ph/9309289 |
55 | L. D. McLerran and R. Venugopalan | Gluon distribution functions for very large nuclei at small transverse momentum | PRD 49 (1994) 3352 | hep-ph/9311205 |
56 | L. D. McLerran and R. Venugopalan | Green's functions in the color field of a large nucleus | PRD 50 (1994) 2225 | hep-ph/9402335 |
57 | J. Jalilian-Marian, A. Kovner, A. Leonidov, and H. Weigert | The BFKL equation from the Wilson renormalization group | NPB 504 (1997) 415 | hep-ph/9701284 |
58 | J. Jalilian-Marian, A. Kovner, and H. Weigert | The Wilson renormalization group for low $ x $ physics: gluon evolution at finite parton density | PRD 59 (1998) 014015 | hep-ph/9709432 |
59 | H. Weigert | Unitarity at small Bjorken $ x $ | NP A 703 (2002) 823 | hep-ph/0004044 |
60 | E. Iancu, A. Leonidov, and L. D. McLerran | Nonlinear gluon evolution in the color glass condensate. 1. | NP A 692 (2001) 583 | hep-ph/0011241 |
61 | E. Ferreiro, E. Iancu, A. Leonidov, and L. McLerran | Nonlinear gluon evolution in the color glass condensate. 2. | NP A 703 (2002) 489 | hep-ph/0109115 |
62 | F. Gelis, E. Iancu, J. Jalilian-Marian, and R. Venugopalan | The color glass condensate | Ann. Rev. Nucl. Part. Sci. 60 (2010) 463 | 1002.0333 |
63 | J. Pumplin et al. | New generation of parton distributions with uncertainties from global QCD analysis | JHEP 07 (2002) 012 | hep-ph/0201195 |
64 | B. Andersson, G. Gustafson, G. Ingelman, and T. Sjostrand | Parton fragmentation and string dynamics | Physics Reports 97 (1983) 31 | |
65 | CMS Collaboration | The CMS trigger system | JINST 12 (2017) P01020 | CMS-TRG-12-001 1609.02366 |
66 | CMS Collaboration | Measurement of the inelastic cross section in proton-lead collisions at $ \sqrt{s_{_\mathrm{NN}}}= $ 5.02 TeV | PLB 759 (2016) 641 | CMS-FSQ-13-006 1509.03893 |
67 | CMS Collaboration | Description and performance of track and primary-vertex reconstruction with the CMS tracker | JINST 9 (2014) P10009 | CMS-TRK-11-001 1405.6569 |
68 | CMS Collaboration | Jet measurement with the CASTOR calorimeter | CDS | |
69 | M. Cacciari, G. P. Salam, and G. Soyez | The anti-$ k_{\text{T}} $ jet clustering algorithm | JHEP 04 (2008) 063 | 0802.1189 |
70 | M. Cacciari, G. P. Salam, and G. Soyez | FastJet user manual | EPJC 72 (2012) 1896 | 1111.6097 |
71 | M. Cacciari and G. P. Salam | Dispelling the $ N^{3} $ myth for the $ k_\mathrm{T} $ jet-finder | PLB 641 (2006) 57 | hep-ph/0512210 |
72 | M. van de Klundert | Search for gluon saturation in proton-lead collisions at $ \sqrt{s_\text{NN}} = $ 5.02 TeV with the very forward CASTOR calorimeter at the CMS experiment | PhD thesis, University of Antwerp, 2018 CERN-THESIS-2018-087 | |
73 | G. D'Agostini | A multidimensional unfolding method based on Bayes' theorem | NIMA 362 (1995) 487 | |
74 | T. Adye | Unfolding algorithms and tests using RooUnfold | (May, 2011) | 1105.1160 |
75 | CMS Collaboration | Measurement of the inclusive energy spectrum in the very forward direction in proton-proton collisions at $ \sqrt{s}= $ 13 TeV | JHEP 08 (2017) 046 | CMS-FSQ-16-002 1701.08695 |
76 | CMS Collaboration | Luminosity calibration for the 2013 proton-lead and proton-proton data taking | CMS-PAS-LUM-13-002 | CMS-PAS-LUM-13-002 |
Compact Muon Solenoid LHC, CERN |