Improved bounds for the slope and curvature of anti-B ---> D(*) lepton anti-neutrino form-factors

Caprini, Irinel; Neubert, Matthias

doi:10.1016/0370-2693(96)00509-6

Improved bounds for the slope and curvature of anti-B ---> D(*) lepton anti-neutrino form-factors

Irinel Caprini
(
- Bucharest, IFIN-HH
)
,
Matthias Neubert
(
- CERN
)

Dec, 1995

15 pages

Published in:

Phys.Lett.B 380 (1996) 376-384

e-Print:

hep-ph/9603414 [hep-ph]

DOI:

10.1016/0370-2693(96)00509-6

Report number:

CERN-TH-95-255

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Abstract:

We derive a theoretically allowed domain for the slope

\widehat\varrho~2

and curvature

\widehat c

of the physical form factor appearing in the decay

\bar B\to D~*\ell\bar\nu

. Using heavy-quark symmetry, we relate this function to a particular

\bar B \to D

form factor free of ground-state

B_c

poles below the threshold for

B D

production, for which almost model-independent constraints are derived from QCD using unitarity and analyticity. Our results are of interest for the extraction of

|V_{cb}|

from the recoil spectrum in exclusive semileptonic

B

decays. Making conservative estimates of the theoretical uncertainties, we find (up to

1/m_Q

corrections)

\widehat\varrho~2<1.11

and

\widehat c\simeq 0.66\widehat\varrho~2-0.11

. We also derive the corresponding bounds for the form factor in the decay

\bar B\to D\ell\bar\nu

.

Note:

13 pages LaTeX, 2 figures appended Report-no: CERN-TH/95-255

anti-B: semileptonic decay
semileptonic decay: anti-B
D*(2010)
quantum chromodynamics
form factor: slope
slope: form factor
analytic properties
unitarity
dispersion relation
CKM matrix matrix

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