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Phys. J. C (2014) 74:Web page 77 of 241ture of your J/ polarization Pic-Eur. Phys. J. C (2014) 74:Page 77 of 241ture of your J/ polarization in photoproduction emerged. Furthermore, no photoproduction may very well be observed at HERA. Consequently, in the theory side, a new ep collider at much higher energies and luminosities than HERA, like possibly an LHeC, could be extremely preferred. Alternatively, there is nonetheless no NLO calculation for J/ production in deep inelastic CPI-455 chemical information scattering obtainable, as, as an example, measured most recently by H1 [1171]. f. Additional production observables The LHCb experiment with its specifically wealthy quarkonium program has also measured totally new observables which nonetheless must be exploited totally in theory tests: For the first time in pp collisions the double J/ production cross section was measured [1172], as well as the production of J/ in association with charmed mesons [1173]. Like double charmonium production, J/ + cc was previously only measured at the B factories, latest inside the Belle analysis [1174], which was crucial 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 [1175]. Exclusive charmonium hadroproduction has been observed not too long ago by CDF [1176] and LHCb [1177,1178]. Exclusive production had previously been a domain of ep experiments; see [1179] for any recent update by the H1 collaboration. Another observable for which theory predictions exist is the J/ production price in scattering. This observable has previously been measured at LEP by DELPHI [1180] with really large uncertainties and could possibly be remeasured at an ILC. four.five.2 NLO tests of NRQCD LDME universality The phenomenological relevance of your NRQCD factorization conjecture is closely tied towards the question of whether or not the LDMEs may be shown to be universal. In this section recent performs are going to be reviewed which aim at examining this universality at Next-to-Leading Order (NLO) in s . Within the case of c J , these tests incorporate just the major [1] order in the NRQCD v expansion, formed by the n = three PJ and n = 3 S 1 states. In title= jir.2014.0026 the case of three S1 quarkonia, these tests title= srep39151 consist of the terms up to relative order O(v 4 ) in the [1] v expansion, namely the n = 3 S1 color singlet state, as [8] [8] [8] nicely because the n = 1 S0 , 3 S1 , and three PJ Colour Octet (CO) states; see Table five. The relativistic corrections involving the [1] [1] P H (three S1 ) and Q H (3 S1 ) LDMEs are, nevertheless, not portion of those analyses, while they are of order O(v two ) and O(v four ) inside the v expansion. You'll find two causes for that: Initially, the corresponding NLO calculations are far beyond the reach of existing strategies, and secondly, they're expected to provide 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 can be understood by noting that new topologies of Feynman diagrams open up when doing the transition from [1] the three S1 state to the CO states, but not when calculating relativistic corrections: For example, at leading order in s the slope in the transverse momentum distribution in [1] -8 hadroproduction is d/dpT pT for the 3 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 three S1 state.