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2002

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/12463

Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum

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Abstract

We complete the leading-log renormalization group scaling of the nonrelativistic (NRQCD) Lagrangian at O ( 1 / m 2 ) . The next-to-next-to-leading-log renormalization group scaling of the potential NRQCD Lagrangian (as far as the singlet is concerned) is also obtained in the situation m α s ≫ Λ QCD . As a by-product, we obtain the heavy quarkonium spectrum with the same accuracy in the situation m α 2 s ≳ Λ QCD . When Λ QCD ≪ m α 2 s , this is equivalent to obtain the whole set of O ( m α ( n + 4 ) s ln n α s ) terms in the heavy quarkonium spectrum. The implications of our results in the nonperturbative situation m α s ∼ Λ QCD are also mentioned.

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http://dx.doi.org/10.1103/PhysRevD.65.074007

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Teoria de camps (Física), Partícules (Física nuclear), Renormalització (Física), Pertorbació (Dinàmica quàntica)

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Field theory (Physics), Particles (Nuclear physics), Renormalization (Physics), Perturbation (Quantum dynamics)

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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PINEDA, Antonio (Pineda Ruiz). Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum. Physical Review D. 2002. Vol. 65, num. 7, pags. 074007-1-074007-10. ISSN 0556-2821. [consulted: 8 of October of 2026]. Available at: https://hdl.handle.net/2445/12463

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