Semileptonic decays of heavy flavors on a fine grained lattice

Abada, A.; Allton, C.R.; Boucaud, Philippe; Carpenter, D.B.; Crisafulli, M.; Gusken, S.; Hernandez, P.; Lubicz, V.; Martinelli, G.; Pene, O.

doi:10.1016/0550-3213(94)90327-1

Semileptonic decays of heavy flavors on a fine grained lattice

A. Abada
(
- Orsay, LPT
)
,
C.R. Allton
(
- Rome U. and
- INFN, Rome
)
,
Philippe Boucaud
(
- Orsay, LPT
)
,
D.B. Carpenter
(
- Southampton U.
)
,
M. Crisafulli
(
- Rome U. and
- INFN, Rome
)

Jul, 1993

29 pages

Published in:

Nucl.Phys.B 416 (1994) 675-698

e-Print:

hep-lat/9308007 [hep-lat]

DOI:

10.1016/0550-3213(94)90327-1

Report number:

LPTENS-93-14,
ROME-946-1993,
LPTHE-ORSAY-93-20,
SHEP-92-93-25,
WUB-93-27

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Abstract:

We present the results of a numerical calculation of semi-leptonic form factors relevant for heavy flavour meson decays into light mesons, at

\beta=6.4

on a

24~3 \times 60

lattice, using the Wilson action in the quenched approximation. We obtain

f~+_K(0)=0.65\pm 0.18

,

V(0)=0.95\pm 0.34

,

A_1(0)=0.63\pm 0.14

and

A_2(0)=0.45\pm 0.33

. We also obtain

A_1(q~2_{max})=0.62\pm 0.09

,

V(0)/A_1(0)=1.5\pm 0.28

and

A_2(0)/A_1(0)=0.7\pm 0.4

. The results for

f~+_K(0)

,

V(0)

and

A_1(0)

are consistent with the experimental data and with previous lattice determinations with larger lattice spacings. In the case of

A_2(0)

the errors are too large to draw any firm conclusion. We have also extrapolated the form factors to the B meson, showing a behaviour compatible with the predictions by the heavy quark effective theory (HQET). Within large uncertainties, our results suggest that

A_2/A_1

increases with the heavy quark mass. We also get very rough estimates for the partial decay widths

B \rightarrow \pi l \nu_l)=\vert V_{ub} \vert~2 (12 \pm 8) 10~{12} s~{-1}

and

\Gamma(B \rightarrow \rho l \nu_l)=\vert V_{ub} \vert~2 (13 \pm12) 10~{12} s~{-1}

, which can be used to give upper bounds on the rates

fermion: lattice field theory
approximation: quenching
D: semileptonic decay
semileptonic decay: D
B: semileptonic decay
semileptonic decay: B
form factor
HQET model
n-point function
meson: width

References(25)

Figures(0)

A Lattice Study of Semileptonic Decays of $D$ Mesons

M. Crisafulli
(
- Rome U. and
- INFN, Rome
)
,
G. Martinelli
(
- Rome U. and
- INFN, Rome
)
,
V.J. Hill
(
- Southampton U.
)
,
Christopher T. Sachrajda
(
- Southampton U.
)

- Phys.Lett.B 223 (1989) 90-96
•
DOI:
- 10.1016/0370-2693(89)90925-8

- Nucl.Phys.B 356 310

Semileptonic decays of D mesons in a lattice QCD

V. Lubicz
(
- Rome U. and
- INFN, Rome
)
,
G. Martinelli
(
- Rome U. and
- INFN, Rome
)
,
M.S. McCarthy
(
- Southampton U.
)
,
Christopher T. Sachrajda
(
- Southampton U.
)

- Phys.Lett.B 274 (1992) 415-420
•
DOI:
- 10.1016/0370-2693(92)92008-5

Semileptonic decays on the lattice: The Exclusive 0- to 0- case

Claude W. Bernard
(
- Santa Barbara, KITP
)
,
Aida X. El-Khadra
(
- Fermilab
)
,
Amarjit Soni
(
- Santa Barbara, KITP and
- Brookhaven
)

- Phys.Rev.D 43 (1991) 2140-2156
•
DOI:
- 10.1103/PhysRevD.43.2140

Lattice study of semileptonic decays of charm mesons into vector mesons

Claude W. Bernard
(
- Washington U., St. Louis
)
,
Aida X. El-Khadra
(
- Fermilab
)
,
Amarjit Soni
(
- Brookhaven
)

- Phys.Rev.D 45 (1992) 869-874
•
DOI:
- 10.1103/PhysRevD.45.869

Meson spectroscopy and decay constants with Wilson fermions at beta = 6.4

A. Abada
(
- Orsay, LPT
)
,
C.R. Allton
(
- Southampton U.
)
,
Philippe Boucaud
(
- Orsay, LPT
)
,
D.B. Carpenter
(
- Southampton U.
)
,
M. Crisafulli
(
- Rome U. and
- INFN, Rome
)

et al.

- Nucl.Phys.B 376 (1992) 172-198
•
DOI:
- 10.1016/0550-3213(92)90073-K

Overrelaxation and Monte Carlo Simulation

Michael Creutz
(
- Brookhaven
)

- Phys.Rev.D 36 (1987) 515
•
DOI:
- 10.1103/PhysRevD.36.515

Lattice Fermions: Species Doubling, Chiral Invariance, and the Triangle Anomaly

Luuk H. Karsten
(
- Stanford U., ITP
)
,
Jan Smit
(
- Amsterdam U.
)

- Nucl.Phys.B 183 (1981) 103,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 495-532. ( Nucl. Phys. B183 ( 1981) 103-140) and Stanford Univ. - ITP-677 (80,REC.NOV.) 71p
•
DOI:
- 10.1016/0550-3213(81)90549-6

Chiral Symmetry on the Lattice with Wilson Fermions

Marco Bochicchio
(
- Rome U. and
- INFN, Rome
)
,
Luciano Maiani
(
- Rome U. and
- INFN, Rome
)
,
Guido Martinelli
(
- Frascati
)
,
Gian Carlo Rossi
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Massimo Testa
(
- INFN, Rome
)

- Nucl.Phys.B 262 (1985) 331,
- Asia Pacific Conf.1987:439,
- Trieste Electroweak 1985:25
•
DOI:
- 10.1016/0550-3213(85)90290-1

The Connection Between Local Operators on the Lattice and in the Continuum and Its Relation to Meson Decay Constants

G. Martinelli
(
- Frascati
)
,
Yi-Cheng Zhang
(
- SISSA, Trieste and
- Rome U.
)

- Phys.Lett.B 123 (1983) 433,
- Phys. Lett. B123 (1983) 433-436 and Frascati Infn - LNF-82-69(P) (82,REC.MAR.83) 6p
•
DOI:
- 10.1016/0370-2693(83)90987-5