Renormalization group improvement of the nonrelativistic RQCD Lagrangian and heavy quarkonium spectrum
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...
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2002 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/12463 |
| Online Access: | https://hdl.handle.net/2445/12463 |
| Access Level: | Open access |
| Keyword: | Teoria de camps (Física) Partícules (Física nuclear) Renormalització (Física) Pertorbació (Dinàmica quàntica) Field theory (Physics) Particles (Nuclear physics) Renormalization (Physics) Perturbation (Quantum dynamics) |
| Summary: | 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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