Gluon jets from quarkonia

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D51, 1125 (1995)]

“…As we have already mentioned, in the calculations of Barbieri et al of the P-wave decay rates into light hadrons [7,8,21], a logarithmic dependence on an infrared cutoff appeared in the coefficients of |R The factorization formulas (4.7) for the annihilation decays of P-waves at leading order in v were first given in Ref. [10] in the form…”

“…The order-α s correction can be calculated as the sum of two terms: −4C F α s /π, which is the order-α s correction to the rate for ψ → e + e − , and 3C F α s /(4π), which is the order-α s correction to the rate for γ * → qq. For completeness, we also give the coefficient analogous to (A28) for the decay of the ψ into a photon plus light hadrons: Calculations of the annihilation rates of P-wave states were carried out through order α 3 s by Barbieri and collaborators [7,8,21]. They calculated only the coefficients of |R ′ P | 2 in (4.7).…”

Proof of factorization of $$\chi _{\text{cJ}}$$ χ cJ production in non-equilibrium QCD at RHIC and LHC in color singlet mechanism

“…This is because there are no uncanceled infrared divergences due to eikonal gluons exchange in the case of S-wave heavy quarkonium (j=w) production in the color singlet mechanism, whereas there are uncanceled infrared divergences due to eikonal gluons exchange in case of P-wave heavy quarkonium (v cJ ) production in the color singlet mechanism [23][24][25][26][27][28].…”

Mass Effects in the Quark–gluon Decays of Heavy Paraquarkonia

“…23, P. * E-mail: asmirnov@univ.uniyar.ac.ru Many-partical decays of heavy quarkonia such as 1 S 0 (QQ) → 3g,qqg, 3 S 1 (QQ) → 4g,qqgg depend on the 3g-andqqg-interactions of the final quarks and gluons and can give the useful information about these interactions. In particular, these interactions give rise to the specific thrust [1,2] and invariant masses [3,4] distributions, to the acomplanarity of the fourparticle decays [5], to the collinearization effect of final gluons [6], etc. It should be noted, however, that such effects can be essentially affected by masses of final quarks.…”

“…4 [8]. Using the width (6) and the theoretical expression for the hadronic width of the paraquarkonium Γ had = Γ 2g (1 − Cα s /π) with the C = 5.84 for charmonia and C = 5.41 for bottomonia [1] we have calculated the branching ratios Br = Γq qg /Γ had of 1 S 0 (QQ) →qqg decays. The results are presented in Table 1 for the final quark masses varying from their current values (the first values of m q and Br) to constituent ones (the last values of m q and Br).…”