Phys. Rev. Lett. 88, 012003 (2001) [4 pages]New Predictions for Inclusive Heavy-Quarkonium P-Wave Decays |
Nora Brambilla1, Dolors Eiras2, Antonio Pineda3, Joan Soto2, and Antonio Vairo4
1INFN and Dipartimento di Fisica dell'Università di Milano, via Celoria 16, 20133 Milan, Italy
2Departamento d'Estructura i Constituents de la Matèria and IFAE, U. Barcelona, Diagonal 647, E-08028 Barcelona, Catalonia, Spain
3Institut für Theoretische Teilchenphysik, U. Karlsruhe, D-76128 Karlsruhe, Germany
4Theory Division CERN, 1211 Geneva 23, Switzerland
Received 17 September 2001; published 17 December 2001
We show that some nonrelativistic quantum chromodynamics color-octet matrix elements can be written in terms of (derivatives of) wave functions at the origin and of nonperturbative universal constants once the factorization between the soft and ultrasoft scales is achieved by using an effective field theory where only ultrasoft degrees of freedom are kept as dynamical entities. This allows us to derive a new set of relations between inclusive heavy-quarkonium P-wave decays into light hadrons with different principal quantum numbers and with different heavy flavors. In particular, we can estimate the ratios of the decay widths of bottomonium P-wave states from charmonium data.
©2002 The American Physical Society
URL: http://link.aps.org/abstract/PRL/v88/e012003
DOI: 10.1103/PhysRevLett.88.012003
PACS: 12.38.-t, 12.39.Hg, 13.25.Gv
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