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Further production observables The LHCb experiment with its particularly wealthy quarkonium plan has also measured fully new observables which nonetheless have to be exploited fully in theory tests: For the very first time in pp collisions the double J/ production cross section was measured [1172], at the same time because the production of J/ in association with charmed mesons [1173]. Like double charmonium production, J/ + cc was previously only measured at the B factories, most up-to-date within the Belle evaluation [1174], which was essential 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] for a current update by the H1 collaboration. A further observable for which theory predictions exist will be the J/ production rate in scattering. This observable has previously been measured at LEP by DELPHI [1180] with extremely substantial 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 regardless of whether or not the LDMEs may be shown to become universal. In this section recent works will be reviewed which aim at examining this universality at Next-to-Leading Order (NLO) in s . Within the case of c J , these tests include things like just the major [1] order in the NRQCD v expansion, formed by the n = three PJ and n = three S 1 states. In title= jir.2014.0026 the case of three S1 quarkonia, these tests title= srep39151 include 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] nicely because the n = 1 S0 , three S1 , and 3 PJ Colour Octet (CO) states; see Table five. The relativistic corrections involving the [1] [1] P H (3 S1 ) and Q H (3 S1 ) LDMEs are, having said that, not part of those analyses, despite the fact that they are of order O(v 2 ) and O(v four ) in the v expansion. You'll find two reasons for that: Very first, the corresponding NLO calculations are far beyond the attain of present procedures, and secondly, they are anticipated to give important 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 performing the transition from [1] the 3 S1 state towards the CO states, but not when calculating relativistic corrections: As an example, at major order in s the slope from 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. The O(s ) corrections to the vital unpolarized short[1/8] [1/8] [8] distance cross sections in the n = 1 S0 , three S1 , and 3 PJ http://brycefoster.com/members/thomas0jumbo/activity/823179/ intermediate states have been calculated for many with the.