Zero-Recoil Sum Rules for ${\Lambda }_b\to {\Lambda }_c$ Form Factors

Abstract

We set up a zero recoil sum rule to constrain the form factors of the ${\Lambda }_b\to {\Lambda }_c$ transition. Our results are compared with the recent lattice calculation for these transitions. We find the same situation as in the case for $B\to D^{\ast }$: The lattice results practically saturate the sum rules, leaving basically no room for excited states.

8 pages, 5 figures

References in corpus (6)

• Big-Bang Nucleosynthesis
• Precision determination of the CKM element Vcb
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Update of $|V_{cb}|$ from the $\bar{B}\to D^{\ast }\ell \bar{\nu }$ form factor at zero recoil with three-flavor lattice QCD
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• Can the differences in the determinations of $V_{ub}$ and $V_{cb}$ be explained by New Physics?

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• Form Factor Counting and HQET Matching for New Physics in ${\Lambda }_b\to {\Lambda }_c^{\ast }l\nu$
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