|−|Shold, enhancing our understanding in the dynamics of these systems and |+|
in the ,and ,,of the . , the to the , which and . for the ,, / . for , and [https://dx.doi.org/10.1098/rstb.2015.0074 title= rstb.2015.0074] the , the the .the a of the the of in to [https://dx.doi.org/10./..title= ..] , ,  ., , /...--...() .the , the even to the of . the is for any . , framework s the of ., .
|−|Shold, enhancing our understanding on the dynamics of those systems and offering, amongst other individuals, precision determinations of the strong coupling continual at low energies as well as the heavy quark masses. For states at and above threshold, they might at some point have the ability to ascertain the nature of your X Y Z exotic states, which includes in distinct the function that mixing among tetraquark and multihadron states plays. A probable way to address these issues that relies on lattice simulations has been pretty recently proposed in [ 1230,1231] . Lattice simulations are also expected for determining non-perturbative type things required in extracting the CKM matrix components |Vcb |, |Vub |, |Vcs | and |Vcd | from B D /l and D K / l decays, respectively. Present gaps involving lattice determinations and experimental fits of those form things are expected to be removed by further progress in lattice simulations. The4.5.five Existing trends in theory The most prominent candidate theory for heavy quarkonium production is NRQCD, and lots of effort is going on to prove its factorization [https://dx.doi.org/10.1098/rstb.2015.0074 title= rstb.2015.0074] theorem around the 1 hand, and to show the universality of the LDMEs by comparison to data around the other. Since at the moment you can find hints that a minimum of for the orders at the moment thought of in perturbation theory, not all information could be simultaneously described by single LDME sets, additional work might be going on to refine NRQCD calculations for [https://dx.doi.org/10. 3389/ fpsyg. 2017. 00209 title= fpsyg. 2017. 00209] particular observables or distinct kinematic regimes, for example the low and higher pT limits of your hadroproduction cross sections. For low pT resummation of significant logarithms, the current function [ 1227] followed the concept of  to apply the Collins oper terman influence parameter resummation formalism . For high pT resummation, the factorization theorem of [781, 783] in terms of single and double parton fragmentation functions, along with the soft-collinear efficient theory approach [ 785,786] is often [http:/ /besocietal. com/members/budget11velvet/activity/424084/ http://besocietal. com/members/budget11velvet/activity/424084/] applied. Other paths may be to apply transverse momentum- dependent PDFs in quarkonium production calculations, but the uncertainties inherent to these calculations will nevertheless must be completely inves- Eur. Phys. J. C ( 2014) 74:Page 81 of 241emergence of ensembles incorporating the effects of dynamical charm quarks in lattice calculations will assistance to establish regardless of whether charm sea contributions to charmonium spectra and to flavor observables are relevant. In the similar time, the trend to finer lattice spacings (even when at the moment somewhat displaced by a trend to carry out simulations in the physical pion mass) is likely to continue inside the extended run and can eventually enable the usage of completely relativistic b-quarks, which will give an essential cross-check on productive field theories, and sooner or later for some observables replace them. Rapid progress on the side of successful field theories is at present taking place for any technique involving heavy quarks. Numerous quantities, like spectra, decays, transitions and production cross sections, are computed within this framework with unprecedented precision inside the velocity and s expansions. Noteworthy progress is happening, in distinct, within the field of quarkonium production. Here, the recent Snowmass White Paper on "Quarkonium at the Frontiers of High Energy Physics"  offers a fantastic summary. |+|