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C (2014) 74:Web page 77 of 241ture in the J/ polarization Pic-Eur. Phys. J. C (2014) 74:Page 77 of 241ture from the J/ polarization in photoproduction emerged. Furthermore, no photoproduction could possibly be observed at HERA. As a result, in the theory side, a new ep collider at substantially larger energies and luminosities than HERA, like possibly an LHeC, will be hugely desired. On the other hand, there is certainly nevertheless no NLO calculation for J/ production in deep inelastic scattering out there, as, for example, measured most recently by H1 [1171]. f. Additional production observables The LHCb experiment with its in particular rich quarkonium plan has also measured completely new observables which nevertheless must be exploited fully in theory tests: For the very first time in pp collisions the double J/ production cross section was measured [1172], also as the production of J/ in association with charmed mesons [1173]. Like double charmonium production, J/ + cc was previously only measured in the B factories, newest in the Belle analysis [1174], which was important for testing J/ production mechanisms in e+ e- production. J/ production in association with W bosons has for the first time been measured by the ATLAS collaboration [1175]. Exclusive charmonium hadroproduction has been observed recently by CDF [1176] and LHCb [1177,1178]. Exclusive production had previously been a domain of ep experiments; see [1179] to get a recent update by the H1 collaboration. One more observable for which theory predictions exist may be the J/ production price in scattering. This observable has previously been measured at LEP by DELPHI [1180] with very significant uncertainties and could possibly be remeasured at an ILC. four.5.2 NLO tests of NRQCD LDME universality The phenomenological relevance with the NRQCD factorization conjecture is closely tied to the question of no matter if or not the LDMEs is usually shown to be universal. Within this section recent works is going to be reviewed which aim at examining this universality at Next-to-Leading Order (NLO) in s . Inside the case of c J , these tests involve just the top [1] order of the NRQCD v expansion, formed by the n = 3 PJ and n = 3 S 1 states. In title= jir.2014.0026 the case of 3 S1 quarkonia, these tests title= srep39151 Daclatasvir (dihydrochloride) web include things like the terms up to relative order O(v four ) within the [1] v expansion, namely the n = three S1 colour singlet state, as [8] [8] [8] well because the n = 1 S0 , 3 S1 , and three PJ Colour Octet (CO) states; see Table 5. The relativistic corrections involving the [1] [1] P H (3 S1 ) and Q H (three S1 ) LDMEs are, however, not portion of those analyses, though they're of order O(v two ) and O(v four ) within the v expansion. There are actually two reasons for that: Initial, the corresponding NLO calculations are far beyond the reach of present approaches, and secondly, they may be anticipated to offer substantial 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][8]and might be understood by noting that new topologies of Feynman diagrams open up when doing the transition from [1] the 3 S1 state towards the CO states, but not when calculating relativistic corrections: By way of example, at major order in s the slope with the transverse momentum distribution in [1] -8 hadroproduction is d/dpT pT for the three S1 state, com[8] [8] -6 pared to d/dpT pT for the 1 S0 and 3 PJ states and [8] -4 d/dpT pT for the 3 S1 state.