The shape of high- pT J/ hadroproduction yield can  be nicely described by the 1 S0 element alone, which automatically yields unpolarized hadroproduction. Given that at pT > 10 GeV this can be already all data offered, there is certainly no tension among NRQCD predictions and present data if the validity with the NRQCD factorization conjecture is restricted [1/8] [1/8] and three PJ LDMEs to high sufficient pT values and the three S1 are very tiny and even put to zero, as for instance in the sixth column of Fig. 33 (set three). This can be also the spirit of , and of the evaluation , in which the NLO quick distance cross sections used in  are combined with cc production by means of single parton fragmentation utilizing frag2 mentation functions at order s such as a top log resummation. To summarize, none of your proposed CO LDME sets is capable to describe all of the studied J/ production information sets, which poses a challenge to the LDME universality. Doable resolutions include the following: 1. The perturbative v expansion could converge also slowly. 2. NRQCD factorization might hold for exclusive, but not inclusive, production. three. NRQCD factorization could hold only inside the area Monium . At the moment, photoproduction cross sections pT are measured only up to pT = 10 GeV. 4. NRQCD factorization might not hold for polarized production.four.5.three Current calculations of relativistic corrections As explained inside the final section, the relativistic corrections of order O(v 2 ) within the NRQCD v expansion have at leading order in s in inclusive hadro-  and photoproduction  been shown to become significantly less considerable than the CO contributions of order O(v title= jir.2014.0026 four ) inside the NRQCD v expansion. Similarly, title= srep39151 the O(v two )  plus the technically challenging O(v four )  relativistic corrections to gluon fragmentation into three S1 quarkonia have turned out to be little. The relativistic O(v two ) corrections to the method e+ e- J/ +gg have, on the other hand, turned out to be amongst 20 and 30 [1212,1213] relative towards the top order CS cross section, an enhancement comparable in size for the O(s ) CS correction [1214,1215]. These corrections helped bring the colour singlet model prediction for inclusive J/ production in e+ e- collisions in rough http://brycefoster.com/members/thomas0jumbo/activity/826438/ agreement with experimental information . Similarly, within the exclusive course of action e+ e- J/ + c , O(s ) corrections at the same time as relativistic corrections of O(v 2 ) have been necessary to bring the color singlet model prediction in agreement with data; see Table 14. Lately, even O(s v two ) corrections to this course of action have been calculated [1209,1216]. For a assessment on the history on the measurements and calculations of this process, also as for any description of different approaches to decide the LDMEs of relative order O(v 2 ), we refer to section four.five.1 of . As a final point of this section, we mention the interesting operate  in which relativistic corrections to the approach gg J/ +g through colour octet states formally of order O(v 6 ) had been estimated. In line with this evaluation, at major orderEur. Phys. J. C (2014) 74:3.five 3 (e e J/+X) [pb] two.five.