Abstract
Based on the non-relativistic quantum chromodynamics factorization framework, we study the inclusive J/ψ photoproduction at the future high energy e+e− collider, International Linear Collider(ILC), where the initial photons come from the back-scattering of laser and electron (positron). The intermediate states, \( c\overline{c} \)(3\( {S}_1^{\left[\mathbf{1}\right]} \),1\( {S}_0^{\left[\mathbf{8}\right]} \),3\( {S}_1^{\left[\mathbf{8}\right]} \), 3\( {P}_{0,1,2}^{\left[\mathbf{8}\right]} \)), and resolved photoproduction processes are considered. Numerical results show that the cross section of J/ψ photoproduction at the ILC could be very large, and the single resolved pro- cess via \( c\overline{c} \)(3\( {S}_0^{\left[\mathbf{8}\right]} \)) intermediate state dominates primarily the production. We also present various kinematic distributions for J/ψ photoproduction. Combining the high luminosity of the collision, J/ψ photoproduction at the ILC shall provide a good platform to test the NRQCD factorization.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G.T. Bodwin, E. Braaten and G.P. Lepage, Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium, Phys. Rev. D 51 (1995) 1125 [Erratum ibid. 55 (1997) 5853] [hep-ph/9407339] [INSPIRE].
E.L. Berger and D.L. Jones, Inelastic Photoproduction of J/ψ and Upsilon by Gluons, Phys. Rev. D 23 (1981) 1521 [INSPIRE].
R. Baier and R. Ruckl, Hadronic Production of J/ψ and Upsilon: Transverse Momentum Distributions, Phys. Lett. B 102 (1981) 364 [INSPIRE].
B. Humpert, Narrow heavy resonance production by gluons, Phys. Lett. B 184 (1987) 105 [INSPIRE].
R. Gastmans, W. Troost and T.T. Wu, Cross-Sections for Gluon + Gluon → Heavy Quarkonium + Gluon, Phys. Lett. B 184 (1987) 257 [INSPIRE].
R. Gastmans, W. Troost and T.T. Wu, Production of Heavy Quarkonia From Gluons, Nucl. Phys. B 291 (1987) 731 [INSPIRE].
J.M. Campbell, F. Maltoni and F. Tramontano, QCD corrections to J/ψ and Upsilon production at hadron colliders, Phys. Rev. Lett. 98 (2007) 252002 [hep-ph/0703113] [INSPIRE].
B. Gong, X.Q. Li and J.-X. Wang, QCD corrections to J/ψ production via color octet states at Tevatron and LHC, Phys. Lett. B 673 (2009) 197 [Erratum ibid. 693 (2010) 612] [arXiv:0805.4751] [INSPIRE].
M. Butenschoen and B.A. Kniehl, Reconciling J/ψ production at HERA, RHIC, Tevatron, and LHC with NRQCD factorization at next-to-leading order, Phys. Rev. Lett. 106 (2011) 022003 [arXiv:1009.5662] [INSPIRE].
Y.-Q. Ma, K. Wang and K.-T. Chao, J/ψ(ψ′) production at the Tevatron and LHC at \( \mathcal{O} \)(\( {\alpha}_s^4 \)v4) in nonrelativistic QCD, Phys. Rev. Lett. 106 (2011) 042002 [arXiv:1009.3655] [INSPIRE].
B. Gong, J.-X. Wang and H.-F. Zhang, QCD corrections to Υ production via color-octet states at the Tevatron and LHC, Phys. Rev. D 83 (2011) 114021 [arXiv:1009.3839] [INSPIRE].
M. Butenschoen and B.A. Kniehl, J/ψ polarization at Tevatron and LHC: Nonrelativistic-QCD factorization at the crossroads, Phys. Rev. Lett. 108 (2012) 172002 [arXiv:1201.1872] [INSPIRE].
K.-T. Chao, Y.-Q. Ma, H.-S. Shao, K. Wang and Y.-J. Zhang, J/ψ Polarization at Hadron Colliders in Nonrelativistic QCD, Phys. Rev. Lett. 108 (2012) 242004 [arXiv:1201.2675] [INSPIRE].
B. Gong, L.-P. Wan, J.-X. Wang and H.-F. Zhang, Polarization for Prompt J/ψ and ψ(2s) Production at the Tevatron and LHC, Phys. Rev. Lett. 110 (2013) 042002 [arXiv:1205.6682] [INSPIRE].
Y. Feng, B. Gong, C.-H. Chang and J.-X. Wang, Remaining parts of the long-standing J/ψ polarization puzzle, Phys. Rev. D 99 (2019) 014044 [arXiv:1810.08989] [INSPIRE].
CEPC Study Group, CEPC Conceptual Design Report. Volume 1 — Accelerator, Report number: IHEP-CEPC-DR-2018-01, IHEP-AC-2018-01 (2018) [arXiv:1809.00285] [INSPIRE].
CEPC Study Group, CEPC Conceptual Design Report. Volume 2 — Physics & Detector, Report number: IHEP-CEPC-DR-2018-02, IHEP-EP-2018-01, IHEP-TH-2018-01 (2018) [arXiv:1811.10545] [INSPIRE].
FCC collaboration, FCC-ee: The Lepton Collider. Future Circular Collider Conceptual Design Report Volume 2, Eur. Phys. J. ST 228 (2019) 261 [INSPIRE].
ILC collaboration, International Linear Collider Reference Design Report. Volume 2: Physics at the ILC, arXiv:0709.1893 [INSPIRE].
J. Erler, S. Heinemeyer, W. Hollik, G. Weiglein and P.M. Zerwas, Physics impact of GigaZ, Phys. Lett. B 486 (2000) 125 [hep-ph/0005024] [INSPIRE].
Z. Sun, X.-G. Wu, G. Chen, J. Jiang and Z. Yang, Heavy quarkonium production through the semi-exclusive e+e− annihilation channels round the Z0 peak, Phys. Rev. D 87 (2013) 114008 [arXiv:1302.4282] [INSPIRE].
S. Frixione, M.L. Mangano, P. Nason and G. Ridolfi, Improving the Weizsacker-Williams approximation in electron-proton collisions, Phys. Lett. B 319 (1993) 339 [hep-ph/9310350] [INSPIRE].
X. Chu, E.-C. Aschenauer, J.-H. Lee and L. Zheng, Photon structure studied at an Electron Ion Collider, Phys. Rev. D 96 (2017) 074035 [arXiv:1705.08831] [INSPIRE].
D. Binosi and L. Theussl, JaxoDraw: A Graphical user interface for drawing Feynman diagrams, Comput. Phys. Commun. 161 (2004) 76 [hep-ph/0309015] [INSPIRE].
J.P. Ma, B.H.J. McKellar and C.B. Paranavitane, J/ψ production at photon-photon colliders as a probe of the color octet mechanism, Phys. Rev. D 57 (1998) 606 [hep-ph/9707480] [INSPIRE].
G. Japaridze and A. Tkabladze, Color octet contribution to J/ψ production at a photon linear collider, Phys. Lett. B 433 (1998) 139 [hep-ph/9803447] [INSPIRE].
R.M. Godbole, D. Indumathi and M. Krämer, J/ψ production through resolved photon processes at e+e− colliders, Phys. Rev. D 65 (2002) 074003 [hep-ph/0101333] [INSPIRE].
C.-F. Qiao, Double J/psi production at photon colliders, Phys. Rev. D 64 (2001) 077503 [hep-ph/0104309] [INSPIRE].
B.A. Kniehl, C.P. Palisoc and L. Zwirner, Associated production of heavy quarkonia and electroweak bosons at present and future colliders, Phys. Rev. D 66 (2002) 114002 [hep-ph/0208104] [INSPIRE].
M. Klasen, B.A. Kniehl, L.N. Mihaila and M. Steinhauser, Charmonium production in polarized high-energy collisions, Phys. Rev. D 68 (2003) 034017 [hep-ph/0306080] [INSPIRE].
P. Artoisenet, F. Maltoni and T. Stelzer, Automatic generation of quarkonium amplitudes in NRQCD, JHEP 02 (2008) 102 [arXiv:0712.2770] [INSPIRE].
M. Klasen, B.A. Kniehl, L. Mihaila and M. Steinhauser, J/ψ plus dijet associated production in two photon collisions, Nucl. Phys. B 609 (2001) 518 [hep-ph/0104044] [INSPIRE].
M. Klasen and J.P. Lansberg, Perspectives for inclusive quarkonium production in photon-photon collisions at the LHC, Nucl. Phys. Proc. Suppl. 179-180 (2008) 226 [arXiv:0806.3662] [INSPIRE].
R. Li and K.-T. Chao, Photoproduction of J/psi in association with a \( c\overline{c} \) pair, Phys. Rev. D 79 (2009) 114020 [arXiv:0904.1643] [INSPIRE].
M. Butenschoen and B.A. Kniehl, Complete next-to-leading-order corrections to J/ψ photoproduction in nonrelativistic quantum chromodynamics, Phys. Rev. Lett. 104 (2010) 072001 [arXiv:0909.2798] [INSPIRE].
M. Butenschoen and B.A. Kniehl, Probing nonrelativistic QCD factorization in polarized J/ψ photoproduction at next-to-leading order, Phys. Rev. Lett. 107 (2011) 232001 [arXiv:1109.1476] [INSPIRE].
G. Chen, X.-G. Wu, H.-B. Fu, H.-Y. Han and Z. Sun, Photoproduction of heavy quarkonium at the ILC, Phys. Rev. D 90 (2014) 034004 [arXiv:1407.3650] [INSPIRE].
Z. Sun, X.-G. Wu and H.-F. Zhang, Prompt J/ψ production in association with a \( c\overline{c} \) pair within the framework of nonrelativistic QCD via photon-photon collisions at the International Linear Collider, Phys. Rev. D 92 (2015) 074021 [arXiv:1507.08190] [INSPIRE].
Z.-Q. Chen, L.-B. Chen and C.-F. Qiao, NLO QCD Corrections for J/ψ + c + \( \overline{c} \) Production in Photon-Photon Collision, Phys. Rev. D 95 (2017) 036001 [arXiv:1608.06231] [INSPIRE].
H. Yang, Z.-Q. Chen and C.-F. Qiao, NLO QCD corrections to exclusive quarkonium-pair production in photon–photon collision, Eur. Phys. J. C 80 (2020) 806 [INSPIRE].
H. Yang, Z.-Q. Chen and C.-F. Qiao, NLO QCD corrections to pseudoscalar quarkonium production with two heavy flavors in photon-photon collision, Phys. Rev. D 105 (2022) 094014 [arXiv:2203.14204] [INSPIRE].
DELPHI collaboration, Study of inclusive J/ψ production in two photon collisions at LEP-2 with the DELPHI detector, Phys. Lett. B 565 (2003) 76 [hep-ex/0307049] [INSPIRE].
M. Klasen, B.A. Kniehl, L.N. Mihaila and M. Steinhauser, Evidence for color octet mechanism from CERN LEP-2 γγ → J/ψ + X data, Phys. Rev. Lett. 89 (2002) 032001 [hep-ph/0112259] [INSPIRE].
M. Butenschoen and B.A. Kniehl, World data of J/ψ production consolidate NRQCD factorization at NLO, Phys. Rev. D 84 (2011) 051501 [arXiv:1105.0820] [INSPIRE].
Z.-G. He and B.A. Kniehl, Perspectives of heavy-quarkonium production at FCC-ee, in Theory report on the 11th FCC-ee workshop, Geneva, Switzerland (2019).
A.-P. Chen, Y.-Q. Ma and H. Zhang, A Short Theoretical Review of Charmonium Production, Adv. High Energy Phys. 2022 (2022) 7475923 [arXiv:2109.04028] [INSPIRE].
J.-P. Lansberg, New Observables in Inclusive Production of Quarkonia, Phys. Rept. 889 (2020) 1 [arXiv:1903.09185] [INSPIRE].
I.F. Ginzburg, G.L. Kotkin, V.G. Serbo and V.I. Telnov, Colliding γe and γγ Beams Based on the Single Pass Accelerators (of Vlepp Type), Nucl. Instrum. Meth. 205 (1983) 47 [INSPIRE].
V.I. Telnov, Problems of Obtaining γγ and γϵ Colliding Beams at Linear Colliders, Nucl. Instrum. Meth. A 294 (1990) 72 [INSPIRE].
M. Gluck, E. Reya and I. Schienbein, Radiatively generated parton distributions of real and virtual photons, Phys. Rev. D 60 (1999) 054019 [Erratum ibid. 62 (2000) 019902] [hep-ph/9903337] [INSPIRE].
J.-X. Wang, Progress in FDC project, Nucl. Instrum. Meth. A 534 (2004) 241 [hep-ph/0407058] [INSPIRE].
G.T. Bodwin and A. Petrelli, Order-v4 corrections to S-wave quarkonium decay, Phys. Rev. D 66 (2002) 094011 [Erratum ibid. 87 (2013) 039902] [hep-ph/0205210] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
X.-G. Wu, J.-M. Shen, B.-L. Du, X.-D. Huang, S.-Q. Wang, and S.J. Brodsky, The QCD renormalization group equation and the elimination of fixed-order scheme-and-scale ambiguities using the principle of maximum conformality, Prog. Part. Nucl. Phys. 108 (2019) 103706 [arXiv:1903.12177] [INSPIRE].
E.J. Eichten and C. Quigg, Quarkonium wave functions at the origin, Phys. Rev. D 52 (1995) 1726 [hep-ph/9503356] [INSPIRE].
G.C. Nayak, J.-W. Qiu and G.F. Sterman, Fragmentation, NRQCD and NNLO factorization analysis in heavy quarkonium production, Phys. Rev. D 72 (2005) 114012 [hep-ph/0509021] [INSPIRE].
P. Faccioli, V. Knünz, C. Lourenco, J. Seixas and H.K. Wöhri, Quarkonium production in the LHC era: a polarized perspective, Phys. Lett. B 736 (2014) 98 [arXiv:1403.3970] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2207.01763
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Zhan, XJ., Wu, XG. & Zheng, XC. Inclusive J/ψ photoproduction at the ILC within the framework of non-relativistic QCD. J. High Energ. Phys. 2022, 50 (2022). https://doi.org/10.1007/JHEP09(2022)050
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2022)050