Relativistic corrections to the semi-inclusive decay of $\mathbf{\psi }$ and $\mathbf{{\rm Y}}$

Abstract

In the framework of the nonrelativistic quantum chromodynamics factorization formalism, we study the processes of $\psi (nS)$ and ${\rm Y}(nS)$ decay into a lepton pair or a charm pair associated with two jets up to the next-to-leading order in velocity expansion. We present the analytic expressions for the differential decay rate to the invariant mass of the lepton pair or charm pair. We find that the ratio of the next-to-leading order short-distance coefficient to the leading order one is in the range from -5.5 to -12.4. The relativistic corrections are so large that they modify the leading order prediction significantly. Utilizing the analytic expressions, we also investigate the relativistic corrections in different kinematic regions and their dependence on the masses of the initial-state quarkonium and the final-state fermion. In addition, we study the momentum distribution of $D^{\ast +}$ in the process ${\rm Y}(1S)\to c\bar{c}gg\to D^{\ast +}X$.

26 pages, 4 figures, 3 tables. arXiv admin note: text overlap with arXiv:0707.4056 by other authors

References in corpus (13)

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• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Potential-model calculation of an order-v^2 NRQCD matrix element
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• $O({\alpha }_s{v}^2)$ Corrections to Hadronic and Electromagnetic Decays of ${}^1{S}_0$ Heavy Quarkonium
• Exclusive heavy quarkonium + gamma production from e+ e- annihilation into a virtual photon
• Exclusive Double Charmonium Production from ${\rm Y}$ Decay
• Inclusive Charm Production in chi_b Decays
• Inclusive Charm Production in Upsilon(nS) Decay
• ${\rm Y}$ decay to two-charm quark jets as a Probe of the Color Octet Mechanism
• Upsilon(1S)->gamma+f2'(1525); f2'(1525)->K0sK0s decays
• Invariant-mass distribution of cc-bar in Upsilon(1S) -> cc-bar + X

Cited by in corpus (5)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Relativistic Correction to Color Octet J/psi Production at Hadron Colliders
• $\mathcal{O}({\alpha }_s{v}^2)$ corrections to hadronic decay of vector quarkonia
• Relativistic corrections to ${\rm Y}$ exclusive decay into double $S-$wave charmonia
• Order-$v^4$ Relativistic Corrections to ${\rm Y}$ Inclusive Decay into a Charm pair