Abstract
Since the discovery of \({J/\psi }\) in 1974 [1, 2], heavy quarkonium physics has played an important role in revealing and in investigating the QCD at the interplay between the perturbative regime and the non-perturbative regime. However, till now, we are still unable to understand the heavy quarkonium production mechanism very well. In particular, we do not know which theory can describe its production at various colliders. In this chapter, we review the main theoretical background, recent progress, and challenges in heavy quarkonium production physics. The organization of this chapter is: in Sect. 2.1, we will give an introduction of some basic theoretical ideas and establish the notations and nomenclature; in Sect. 2.2, we will present the challenges of theories in confront of experiments.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Charmonium is composed of a pair of charm quark and antiquark, whereas bottomonium is composed of a pair of bottom quark and antiquark.
- 2.
Only double real contribution is included at \(\mathscr {O}(\alpha _S^5)\).
- 3.
We call the CS and CO intermediate states as Fock states.
References
J. Aubert et al., Phys. Rev. Lett. 33, 1404 (1974). doi:10.1103/PhysRevLett.33.1404.Technicalreport96
J. Augustin et al., Phys. Rev. Lett. 33, 1406 (1974). doi:10.1103/PhysRevLett.33.1406
N. Brambilla, et al. (2004)
N. Brambilla, A. Pineda, J. Soto, A. Vairo, Rev. Mod. Phys. 77, 1423 (2005). doi:10.1103/RevModPhys.77.1423
N. Brambilla, S. Eidelman, B. Heltsley, R. Vogt, G. Bodwin et al., Eur. Phys. J. C 71, 1534 (2011). doi:10.1140/epjc/s10052-010-1534-9
M. Einhorn, S. Ellis, Phys. Rev. D 12, 2007 (1975). doi:10.1103/PhysRevD.12.2007
S. Ellis, M.B. Einhorn, C. Quigg, Phys. Rev. Lett. 36, 1263 (1976). doi:10.1103/PhysRevLett.36.1263
C. Carlson, R. Suaya, Phys. Rev. D 14, 3115 (1976). doi:10.1103/PhysRevD.14.3115
C.H. Chang, Nucl. Phys. B 172, 425 (1980). doi:10.1016/0550-3213(80)90175-3
H. Fritzsch, Phys. Lett. B 67, 217 (1977). doi:10.1016/0370-2693(77)90108-3
F. Halzen, Phys. Lett. B 69, 105 (1977). doi:10.1016/0370-2693(77)90144-7
M. Gluck, J. Owens, E. Reya, Phys. Rev. D 17, 2324 (1978). doi:10.1103/PhysRevD.17.2324
V.D. Barger, W.Y. Keung, R. Phillips, Phys. Lett. B 91, 253 (1980). doi:10.1016/0370-2693(80)90444-X
J. Amundson, O.J. Eboli, E. Gregores, F. Halzen, Phys. Lett. B 372, 127 (1996). doi:10.1016/0370-2693(96)00035-4
J. Amundson, O.J. Eboli, E. Gregores, F. Halzen, Phys. Lett. B 390, 323 (1997). doi:10.1016/S0370-2693(96)01417-7
G.T. Bodwin, E. Braaten, G. Lepage, Phys. Rev. D 51, 1125 (1995). doi:10.1103/PhysRevD.51.1125, 10.1103/PhysRevD.55.5853, 10.1103/PhysRevD.51.1125, 10.1103/PhysRevD.55.5853
E. Braaten, S. Fleming, T.C. Yuan, Ann. Rev. Nucl. Part. Sci. 46, 197 (1996). doi:10.1146/annurev.nucl.46.1.197
G.C. Nayak, J.W. Qiu, G.F. Sterman, Phys. Lett. B 613, 45 (2005). doi:10.1016/j.physletb.2005.03.031
G.C. Nayak, J.W. Qiu, G.F. Sterman, Phys. Rev. D 72, 114012 (2005). doi:10.1103/PhysRevD.72.114012
Z.B. Kang, J.W. Qiu, G. Sterman, Phys. Rev. Lett. 108, 102002 (2012). doi:10.1103/PhysRevLett.108.102002 (Latex, 11 pages, 4 figures)
S. Fleming, A.K. Leibovich, T. Mehen, I.Z. Rothstein, Phys. Rev. D 86, 094012 (2012). doi:10.1103/PhysRevD.86.094012
S. Fleming, A.K. Leibovich, T. Mehen, I.Z. Rothstein, Phys. Rev. D 87, 074022 (2013). doi:10.1103/PhysRevD.87.074022
Z.B. Kang, Y.Q. Ma, J.W. Qiu, G. Sterman, Phys. Rev. D 90(3), 034006 (2014). doi:10.1103/PhysRevD.90.034006
G.T. Bodwin, H.S. Chung, U.R. Kim, J. Lee, Phys. Rev. Lett. 113(2), 022001 (2014). doi:10.1103/PhysRevLett.113.022001
E.J. Eichten, C. Quigg, Phys. Rev. D 52, 1726 (1995). doi:10.1103/PhysRevD.52.1726
G.A. Schuler, Phys. Rept. (1994)
F. Maltoni, J. Spengler, M. Bargiotti, A. Bertin, M. Bruschi et al., Phys. Lett. B 638, 202 (2006). doi:10.1016/j.physletb.2006.05.010
S.J. Brodsky, J.P. Lansberg, Phys. Rev. D 81, 051502 (2010). doi:10.1103/PhysRevD.81.051502
F. Abe et al., Phys. Rev. Lett. 69, 3704 (1992). doi:10.1103/PhysRevLett.69.3704
F. Abe et al., Phys. Rev. Lett. 79, 572 (1997)
F. Abe et al., Phys. Rev. Lett. 79, 578 (1997)
J.M. Campbell, F. Maltoni, F. Tramontano, Phys. Rev. Lett. 98, 252002 (2007). doi:10.1103/PhysRevLett.98.252002
P. Artoisenet, J.M. Campbell, J. Lansberg, F. Maltoni, F. Tramontano, Phys. Rev. Lett. 101, 152001 (2008). doi:10.1103/PhysRevLett.101.152001
B. Gong, J.X. Wang, Phys. Rev. D 78, 074011 (2008). doi:10.1103/PhysRevD.78.074011
J. Lansberg, J. Phys. G38, 124110 (2011). doi:10.1088/0954-3899/38/12/124110
S. Chatrchyan et al., Phys. Lett. B 727, 381 (2013). doi:10.1016/j.physletb.2013.10.055
C.W. Bauer, S. Fleming, M.E. Luke, Phys. Rev. D 63, 014006 (2000). doi:10.1103/PhysRevD.63.014006
C.W. Bauer, S. Fleming, D. Pirjol, I.W. Stewart, Phys. Rev. D 63, 114020 (2001). doi:10.1103/PhysRevD.63.114020
E. Braaten, T.C. Yuan, Phys. Rev. Lett. 71, 1673 (1993). doi:10.1103/PhysRevLett.71.1673
E. Braaten, K.M. Cheung, T.C. Yuan. Phys. Rev. D48, 4230 (1993). doi:10.1103/PhysRevD.48.4230
E. Braaten, S. Fleming, Phys. Rev. Lett. 74, 3327 (1995). doi:10.1103/PhysRevLett.74.3327
E. Braaten, J. Lee, Nucl. Phys. B 586, 427 (2000). doi:10.1016/S0550-3213(00)00396-5
Y.Q. Ma, J.W. Qiu, H. Zhang, Phys. Rev. D 89(9), 094029 (2014). doi:10.1103/PhysRevD.89.094029
Y.Q. Ma, J.W. Qiu, H. Zhang, Phys. Rev. D 89(9), 094030 (2014). doi:10.1103/PhysRevD.89.094030
G.C. Nayak, J.W. Qiu, G.F. Sterman, Phys. Rev. D 74, 074007 (2006). doi:10.1103/PhysRevD.74.074007
J.C. Collins, D.E. Soper, Nucl. Phys. B 194, 445 (1982). doi:10.1016/0550-3213(82)90021-9
G. Bodwin (2013). http://indico.ihep.ac.cn/conferenceOtherViews.py?view=standard&confId=2723
G.C. Nayak, J.W. Qiu, G.F. Sterman, Phys. Rev. Lett. 99, 212001 (2007). doi:10.1103/PhysRevLett.99.212001
G.C. Nayak, J.W. Qiu, G.F. Sterman, Phys. Rev. D 77, 034022 (2008). doi:10.1103/PhysRevD.77.034022
P.L. Cho, M.B. Wise, Phys. Lett. B 346, 129 (1995). doi:10.1016/0370-2693(94)01658-Y
A.K. Leibovich, Phys. Rev. D 56, 4412 (1997). doi:10.1103/PhysRevD.56.4412
E. Braaten, B.A. Kniehl, J. Lee, Phys. Rev. D 62, 094005 (2000). doi:10.1103/PhysRevD.62.094005
T. Affolder et al., Phys. Rev. Lett. 85, 2886 (2000). doi:10.1103/PhysRevLett.85.2886
A. Abulencia et al., Phys. Rev. Lett. 99, 132001 (2007). doi:10.1103/PhysRevLett.99.132001
P. Artoisenet, J. Lansberg, F. Maltoni, Phys. Lett. B 653, 60 (2007). doi:10.1016/j.physletb.2007.04.031 (13 pages, 5 figures)
B. Gong, X.Q. Li, J.X. Wang, Phys. Lett. B 673, 197 (2009). doi:10.1016/j.physletb.2009.02.026, 10.1016/j.physletb.2010.09.031, 10.1016/j.physletb.2009.02.026, 10.1016/j.physletb.2010.09.031
B. Gong, J.X. Wang, Phys. Rev. Lett. 100, 232001 (2008). doi:10.1103/PhysRevLett.100.232001
M. Butenschoen, B.A. Kniehl, Phys. Rev. Lett. 104, 072001 (2010). doi:10.1103/PhysRevLett.104.072001
Y.Q. Ma, K. Wang, K.T. Chao, Phys. Rev. D 83, 111503 (2011). doi:10.1103/PhysRevD.83.111503
Y.Q. Ma, K. Wang, K.T. Chao, Phys. Rev. Lett. 106, 042002 (2011). doi:10.1103/PhysRevLett.106.042002
M. Butenschoen, B.A. Kniehl, Phys. Rev. Lett. 106, 022003 (2011). doi:10.1103/PhysRevLett.106.022003
Y.Q. Ma, K. Wang, K.T. Chao, Phys. Rev. D 84, 114001 (2011). doi:10.1103/PhysRevD.84.114001
M. Butenschoen, B.A. Kniehl (2011)
M. Butenschoen, B.A. Kniehl, Phys. Rev. D 84, 051501 (2011). doi:10.1103/PhysRevD.84.051501
M. Butenschoen, B.A. Kniehl, Phys. Rev. Lett. 108, 172002 (2012)
K.T. Chao, Y.Q. Ma, H.S. Shao, K. Wang, Y.J. Zhang, Phys. Rev. Lett. 108, 242004 (2012)
B. Gong, L.P. Wan, J.X. Wang, H.F. Zhang, Phys. Rev. Lett. 110, 042002 (2013)
H.S. Shao, Y.Q. Ma, K. Wang, K.T. Chao, Phys. Rev. Lett. 112(18), 182003 (2014). doi:10.1103/PhysRevLett.112.182003
P. Faccioli, V. Knnz. Phys. Lett. B736, 98 (2014). doi:10.1016/j.physletb.2014.07.006
Y. Fan, Y.Q. Ma, K.T. Chao, Phys. Rev. D 79, 114009 (2009). doi:10.1103/PhysRevD.79.114009
G.Z. Xu, Y.J. Li, K.Y. Liu, Y.J. Zhang, Phys. Rev. D 86, 094017 (2012). doi:10.1103/PhysRevD.86.094017
J. Lansberg (2010)
E. Braaten, J. Russ, Ann. Rev. Nucl. Part. Sci. 64, 221 (2014). doi:10.1146/annurev-nucl-030314-044352
H.S. Shao, K.T. Chao, Phys. Rev. D 90(1), 014002 (2014). doi:10.1103/PhysRevD.90.014002
H.S. Shao, H. Han, Y.Q. Ma, C. Meng, Y.J. Zhang, K.T. Chao, JHEP 05, 103 (2015). doi:10.1007/JHEP05(2015)103
Y.J. Zhang, K.T. Chao, Phys. Rev. Lett. 98, 092003 (2007). doi:10.1103/PhysRevLett.98.092003
B. Gong, J.X. Wang, Phys. Rev. D 80, 054015 (2009). doi:10.1103/PhysRevD.80.054015
Y.Q. Ma, Y.J. Zhang, K.T. Chao, Phys. Rev. Lett. 102, 162002 (2009). doi:10.1103/PhysRevLett.102.162002
B. Gong, J.X. Wang, Phys. Rev. Lett. 102, 162003 (2009). doi:10.1103/PhysRevLett.102.162003
Z.G. He, Y. Fan, K.T. Chao, Phys. Rev. D 81, 054036 (2010). doi:10.1103/PhysRevD.81.054036
Y. Jia, Phys. Rev. D 82, 034017 (2010). doi:10.1103/PhysRevD.82.034017
Y.J. Zhang, Y.Q. Ma, K. Wang, K.T. Chao, Phys. Rev. D 81, 034015 (2010). doi:10.1103/PhysRevD.81.034015
H.S. Shao, JHEP 04, 182 (2014)
M. Kramer, J. Zunft, J. Steegborn, P. Zerwas, Phys. Lett. B 348, 657 (1995). doi:10.1016/0370-2693(95)00155-E
S.P. Baranov, Phys. Rev. D 66, 114003 (2002). doi:10.1103/PhysRevD.66.114003
B. Kniehl, D. Vasin, V. Saleev, Phys. Rev. D 73, 074022 (2006). doi:10.1103/PhysRevD.73.074022
A. Petrelli, M. Cacciari, M. Greco, F. Maltoni, M.L. Mangano, Nucl. Phys. B 514, 245 (1998). doi:10.1016/S0550-3213(97)00801-8
R. Li, J.X. Wang, Phys. Rev. D 89(11), 114018 (2014). doi:10.1103/PhysRevD.89.114018
R. Li, J.X. Wang, Phys. Lett. B 672, 51 (2009). doi:10.1016/j.physletb.2008.12.050
S. Mao, M. Wen-Gan, L. Gang, Z. Ren-You, G. Lei, JHEP 1102, 071 (2011). doi:10.1007/JHEP12(2012)010, 10.1007/JHEP02(2011)071
B. Gong, J.P. Lansberg, C. Lorce, J. Wang, JHEP 1303, 115 (2013). doi:10.1007/JHEP03(2013)115
G. Li, M. Song, R.Y. Zhang, W.G. Ma, Phys. Rev. D 83, 014001 (2011). doi:10.1103/PhysRevD.83.014001
J. Lansberg, C. Lorce, Phys. Lett. B 726, 218 (2013). doi:10.1016/j.physletb.2013.07.059
J.P. Lansberg, H.S. Shao, Phys. Rev. Lett. 111, 122001 (2013). doi:10.1103/PhysRevLett.111.122001
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer Science+Business Media Singapore
About this chapter
Cite this chapter
Shao, HS. (2016). Background of Heavy Quarkonium Physics. In: Heavy Quarkonium Production Phenomenology and Automation of One-Loop Scattering Amplitude Computations. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-1624-0_2
Download citation
DOI: https://doi.org/10.1007/978-981-10-1624-0_2
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-1623-3
Online ISBN: 978-981-10-1624-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)