Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit of QCD

Details Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit of QCD Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit of QCD

1998-12-14

arxiv.org/abs/hep-ph/9812358v2

Phys.Rev. D60 (1999) 014001

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex2e, 25 pages, no figure. Slight changes in the title and the phrasing. Misprint in Eq. (25) corrected. To appear in Phys.

Scientific paper

10.1103/PhysRevD.60.014001

We argue that the Large Energy Effective Theory (LEET), originally proposed by Dugan and Grinstein, is applicable to exclusive semileptonic, radiative and rare heavy-to-light transitions in the region where the energy release E is large compared to the strong interaction scale and to the mass of the final hadron, i.e. for q^2 not close to the zero-recoil point. We derive the Effective Lagrangian from the QCD one, and show that in the limit of heavy mass M for the initial hadron and large energy E for the final one, the heavy and light quark fields behave as two-component spinors. Neglecting QCD short-distance corrections, this implies that there are only three form factors describing all the pseudoscalar to pseudoscalar or vector weak current matrix elements. We argue that the dependence of these form factors with respect to M and E should be factorizable, the M-dependence (sqrt(M)) being derived from the usual heavy quark expansion while the E-dependence is controlled by the behaviour of the light-cone distribution amplitude near the end-point u=1. The usual expectation of the (1-u) behaviour leads to a 1/E^2 scaling law, that is a dipole form in q^2. We also show explicitly that in the appropriate limit, the Light-Cone Sum Rule method satisfies our general relations as well as the scaling laws in M and E of the form factors, and obtain very compact and simple expressions for the latter. Finally we note that this formalism gives theoretical support to the quark model-inspired methods existing in the literature.

Affiliated with

Also associated with

No associations

Rating

Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit of QCD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit of QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit of QCD will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-388549