On measuring the kinetic energy of the heavy quark inside B mesons - INSPIRE

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On measuring the kinetic energy of the heavy quark inside B mesons

Ikaros I.Y. Bigi
(
- CERN and
- Notre Dame U.
)
,
A.G. Grozin
(
- Open U., England and
- Novosibirsk, IYF
)
,
Mikhail A. Shifman
(
- Minnesota U. and
- cERN and
- St. Petersburg, INP
)
,
N.G. Uraltsev
(
- Minnesota U. and
- cERN and
- St. Petersburg, INP
)
,
Arkady I. Vainshtein
(
- Minnesota U. and
- Novosibirsk, IYF
)

Jul, 1994

12 pages

Published in:

Phys.Lett.B 339 (1994) 160-166

e-Print:

hep-ph/9407296 [hep-ph]

DOI:

10.1016/0370-2693(94)91149-5

Report number:

TPI-MINN-94-25-T,
UMN-TH-1263-94,
UND-HEP-94-BIG07,
OUT-4102-51,
CERN-TH-7361-94

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Abstract:

We discuss how one can determine the average kinetic energy of the heavy quark inside heavy mesons from differential distributions in

B

decays. A new, so-called third, sum rule for the

b\rightarrow c

transition is derived in the small velocity (SV) limit. Using this sum rule and the existing data on the momentum dependence in the

B\rightarrow D~*

transition (the slope of the Isgur-Wise function) we obtain a new lower bound on the parameter

\mu_\pi~2 = (2M_B)~{-1}\langle B |\bar b (i\vec{D})~2 b |B\rangle

proportional to the average kinetic energy of

b

quark inside

B

meson. The existing data suggest

\mu_\pi~2 > 0.4

GeV

~2

and (from the ``optical'' sum rule)

\overline{\Lambda} > 500

MeV, albeit with some numerical uncertainties.

B: semileptonic decay
semileptonic decay: B
bottom: energy
sum rule
Isgur-Wise function: slope
momentum dependence
HQET model
numerical calculations: interpretation of experiments
B --> D*(2010) lepton antineutrino

References(23)

Figures(0)

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(
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)
,
N.G. Uraltsev
(
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)
,
A.I. Vainshtein
(
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)

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Ikaros I.Y. Bigi
(
- Notre Dame U.
)
,
N.G. Uraltsev
(
- Notre Dame U. and
- St. Petersburg, INP
)
,
A.I. Vainshtein
(
- Minnesota U. and
- Novosibirsk, IYF
)

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•
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•
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,
Mikhail A. Shifman
(
- Minnesota U.
)

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•
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(
- Santa Barbara, KITP
)
,
Mikhail A. Shifman
(
- Minnesota U.
)

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