Thursday, February 9, 2012

1112.0237 (Wei Wang)

Factorization of Heavy-to-Light Baryonic Transitions in SCET    [PDF]

Wei Wang
In the framework of the soft-collinear effective theory, we demonstrate that
the leading-power heavy-to-light baryonic form factors at large recoil obey the
heavy quark and large energy symmetries. Symmetry breaking effects are
suppressed by ${\Lambda}/m_{b}$ or $\Lambda/E$, where $\Lambda$ is the hadronic
scale, $m_b$ is the $b$ quark mass and $E\sim m_b$ is the energy of light
baryon in the final state. At leading order, the leading power baryonic form
factor $\xi_{\Lambda,p}(E)$, in which two hard-collinear gluons are exchanged
in the baryon constituents, can factorize into the soft and collinear matrix
elements convoluted with a hard-kernel of order $\alpha_s^2$. Including the
energy release dependence, we derive the scaling law $\xi_{\Lambda,p}(E)\sim
\Lambda^2 /E^2$. We also find that this form factor $\xi_{\Lambda}(E)$ is
numerically smaller than the form factor governed by soft processes, although
the latter is formally power-suppressed.
View original: http://arxiv.org/abs/1112.0237

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