Pic-Eur. Phys. J. C (2014) 74:Page 77 of 241ture of your J/ polarization Pic-Eur. Phys. J. C (2014) 74:Page 77 of 241ture from the J/ polarization in photoproduction emerged. In addition, no photoproduction could be observed at HERA. For that reason, in the theory side, a brand new ep collider at a great deal larger energies and luminosities than HERA, like possibly an LHeC, would be very preferred. Alternatively, there is nevertheless no NLO calculation for J/ production in deep inelastic scattering obtainable, as, by way of example, measured most recently by H1 . f. Additional production observables The LHCb experiment with its in particular wealthy quarkonium plan has also measured totally new observables which nonetheless have to be exploited totally in theory tests: For the very first time in pp collisions the double J/ production cross section was measured , as well as the production of J/ in association with charmed mesons . Like double charmonium production, J/ + cc was previously only measured at the B factories, most current in the Belle evaluation , which was Crenolanib web essential for testing J/ production mechanisms in e+ e- production. J/ production in association with W bosons has for the very first time been measured by the ATLAS collaboration . Exclusive charmonium hadroproduction has been observed lately by CDF  and LHCb [1177,1178]. Exclusive production had previously been a domain of ep experiments; see  for a current update by the H1 collaboration. Another observable for which theory predictions exist is definitely the J/ production price in scattering. This observable has previously been measured at LEP by DELPHI  with extremely big uncertainties and could possibly be remeasured at an ILC. four.5.2 NLO tests of NRQCD LDME universality The phenomenological relevance on the NRQCD factorization conjecture is closely tied for the question of regardless of whether or not the LDMEs may be shown to become universal. In this section current performs will likely be reviewed which aim at examining this universality at Next-to-Leading Order (NLO) in s . In the case of c J , these tests contain just the leading  order from the NRQCD v expansion, formed by the n = three PJ and n = 3 S 1 states. In title= jir.2014.0026 the case of 3 S1 quarkonia, these tests title= srep39151 consist of the terms as much as relative order O(v four ) in the  v expansion, namely the n = 3 S1 colour singlet state, as    properly because the n = 1 S0 , three S1 , and 3 PJ Colour Octet (CO) states; see Table five. The relativistic corrections involving the   P H (three S1 ) and Q H (three S1 ) LDMEs are, nonetheless, not component of those analyses, while they're of order O(v two ) and O(v four ) in the v expansion. There are actually two causes for that: 1st, the corresponding NLO calculations are far beyond the attain of existing approaches, and secondly, they are expected to provide significant contributions to hadroproduction only at m c and for photoproduction only at z 1. This behavpT ior is inferred from the behavior at LO in s [1187,1188]and may be understood by noting that new topologies of Feynman diagrams open up when carrying out the transition from  the three S1 state for the CO states, but not when calculating relativistic corrections: As an example, at leading order in s the slope in the transverse momentum distribution in  -8 hadroproduction is d/dpT pT for the 3 S1 state, com  -6 pared to d/dpT pT for the 1 S0 and three PJ states and  -4 d/dpT pT for the three S1 state.