A "BPS expansion" for B and D mesons

Details A "BPS expansion" for B and D mesons A "BPS expansion" for B and D mesons

2003-11-30

arxiv.org/abs/hep-ph/0312001v1

Phys.Lett. B585 (2004) 253-262

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, LaTeX, two figures

Scientific paper

10.1016/j.physletb.2004.01.053

We analyze consequences of the approximation \mu_\pi^2 -\mu_G^2 << \mu_\pi^2 (a `BPS' limit) for B and D mesons. It is shown that neglecting perturbative effects many power corrections would vanish to all orders in 1/m_Q, in particular those violating heavy flavor symmetry. Among them are corrections to B->D formfactors. A number of relations receive corrections only to the second order expanding around the BPS limit to any order in 1/m_Q, including both f_+ and f_- at zero recoil. This allows an accurate evaluation of {\cal F}_+ for B->D l\nu. Its perturbative renormalization is computed analytically in the required Wilsonian scheme, yielding the dominant 3% enhancement.

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