Universal ${\tau }_{1/2}(y)$ Isgur-Wise Function at the Next-to-Leading Order in QCD Sum Rules

Abstract

We use QCD sum rules, in the framework of the Heavy Quark Effective Theory, to calculate the universal form factor ${\tau }_{1/2}(y)$ parameterizing the semileptonic transitions $B\to D_0\ell \bar{\nu }$, $B\to D_1^{\ast }\ell \bar{\nu }$, where $D_0$ and $D_1^{\ast }$ are the members of the excited charmed doublet with $J^P=(0_{1/2}^{+},1_{1/2}^{+})$. We include two-loop corrections in the perturbative contribution to the sum rule, and present a complete next-to-leading order result. As a preliminary part of our analysis we also compute, up to order ${\alpha }_s$, the leptonic constant $F^{+}$ of the doublet $D_0$, $D_1^{\ast }$. Finally, we discuss the phenomenological implications of this calculation.

arXiv commentRevTex, 29 pages, 3 figures

References in corpus (27)

• Heavy Quark Symmetry
• Strong Decays of Excited Heavy Mesons In Chiral Perturbation Theory
• Aspects Of Heavy Quark Theory
• Semileptonic B decays to excited charmed mesons
• Two-loop renormalization of the effective field theory of a static quark
• Operator product expansion in static-quark effective field theory: large perturbative correction
• A Constituent Quark-Meson Model for Heavy-Meson Processes
• Strong coupling of excited heavy mesons
• Quantitative Predictions for $B$ semileptonic decays into $D,D^{\ast }$ and the orbitally excited $D^{\ast \ast }$ in quark models à la Bakamjian-Thomas
• Model independent results for $B\to D_1(2420)\ell \bar{\nu }$ and $B\to D_2^{\ast }(2460)\ell \bar{\nu }$ at order ${\Lambda }_{QCD}/m_{c,b}$
• QCD Sum Rule Analysis of the Subleading Isgur-Wise Form Factor ${\chi }_2(v\cdot v^{\prime })$
• QCD Sum Rules for Masses of Excited Heavy Mesons
• B0(t) -> DPP time-dependent Dalitz plots, CP-violating angles 2beta, 2beta+gamma, and discrete ambiguities
• The Isgur-Wise Function to $O({\alpha }_s)$ from Sum Rules in the Heavy Quark Effective Theory
• The Subleading Isgur-Wise Form Factor ${\chi }_3(v\cdot v^{\prime })$ to Order ${\alpha }_s$ in QCD Sum Rules
• Decay constants of P and D-wave heavy-light mesons
• Two-loop corrections to the Isgur-Wise function in QCD sum rules
• Investigation of Semileptonic $B$ Meson Decay to P-Wave Charm Mesons
• Order (1/m_Q) Corrections to Masses of Excited Heavy Mesons From QCD Sum Rules
• Theoretical Analysis of B -> D^{**} pi Decays
• Non-leptonic B decays involving tensor mesons
• Semi-leptonic B decays into higher charmed resonances
• Heavy Quark S- to P-Wave Transitions in a Consistent Quark Model
• Modelling form factors in HQET
• Heavy Hadron Weak Decay Form Factors to Next-to-Leading Order in 1/m
• Study of the Reactions $B\to D^{\ast }\pi \pi$ and $B\to D^{\ast }\rho \pi$
• An Introduction to Heavy Mesons

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