Heavy light weak matrix elements

I review the status of lattice calculations of heavy-light weak matrix elements, concentrating on semileptonic B decays to light mesons, B -> K* gamma, the B meson decay constant, f_B, and the mixing parameter B_B.

Note:

12 pages, LaTeX2e with 6 postscript figures. Uses espcrc2.sty and epsf.sty (included). Talk presented at LATTICE96(heavy quarks) Report-no: SHEP-96-21

review: St. Louis 1996/06/04
lattice field theory
B: semileptonic decay
B: radiative decay
B: decay constant
B: B-parameter
CKM matrix matrix
form factor
numerical calculations: Monte Carlo
bibliography

References(51)

Figures(0)

First calculation of D+ ---> anti-K*0 e+ electron-neutrino in lattice QCD

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

- Nucl.Phys.B 356 (1991) 301-317
•
DOI:
- 10.1016/0550-3213(91)90151-M

First measurement of the rate for the inclusive radiative penguin decay $b \to s \gamma$

CLEO

Collaboration

•

M.S. Alam
(
- SUNY, Albany
)

et al.

- Phys.Rev.Lett. 74 (1995) 2885-2889
•
DOI:
- 10.1103/PhysRevLett.74.2885

Semileptonic decays: An Update down under

James N. Simone
(
- Fermilab
)

- Nucl.Phys.B Proc.Suppl. 47 (1996) 17-30,
- Lattice 1995:0017-30,
- In *Melbourne 1995, Proceedings, Lattice '95* 17-30, and Fermilab Batavia - FERMILAB-Conf-96-017 (96,rec.Feb.) 14 p
•
e-Print:
- hep-lat/9601017
•
DOI:
- 10.1016/0920-5632(96)00029-1

B ---> K* + gamma and B(s) ---> phi + gamma on the lattice

Claude W. Bernard
(
- Washington U., St. Louis
)
,
P. Hsieh
(
- Harvard-Smithsonian Ctr. Astrophys.
)
,
A. Soni
(
- Brookhaven
)

- Phys.Rev.Lett. 72 (1994) 1402-1405
•
e-Print:
- hep-lat/9311010
•
DOI:
- 10.1103/PhysRevLett.72.1402

Status report on weak matrix element calculations

Rajan Gupta
(
- Los Alamos
)
,
Tanmoy Bhattacharya
(
- Los Alamos
)

- Nucl.Phys.B Proc.Suppl. 47 (1996) 473-480,
- Lattice 1995:0473-480,
- In *Melbourne 1995, Proceedings, Lattice '95* 473-480, and Los Alamos Nat. Lab. - LA-UR-95-4223 (95,rec.Dec.) 9 p
•
e-Print:
- hep-lat/9512006
•
DOI:
- 10.1016/0920-5632(96)00104-1

A Lattice study of the exclusive B ---> K* gamma decay amplitude, using the Clover action at Beta = 6.0

APE

Collaboration

•

A. Abada
(
- Orsay, LPT
)

et al.

- Phys.Lett.B 365 (1996) 275-284
•
e-Print:
- hep-lat/9503020
•
DOI:
- 10.1016/0370-2693(95)01236-2

Form-factors for B ---> pi lepton anti-lepton-neutrino and B ---> K* gamma decays on the lattice

UKQCD

Collaboration

•

D.R. Burford
(
- Southampton U.
)

et al.

- Nucl.Phys.B 447 (1995) 425-440
•
e-Print:
- hep-lat/9503002
•
DOI:
- 10.1016/0550-3213(95)00223-F

Lattice study of the decay anti-B0 ---> rho+ lepton- anti-lepton-neutrino: Model independent determination of |V(ub)|

UKQCD

Collaboration

•

J.M. Flynn
(
- Southampton U.
)

et al.

- Nucl.Phys.B 461 (1996) 327-349
•
e-Print:
- hep-ph/9506398
•
DOI:
- 10.1016/0550-3213(95)00595-1

Semileptonic decays of D and B mesons

S. Gusken
(
- Wuppertal U.
)
,
K. Schilling
(
- Wuppertal U. and
- Julich, NIC
)
,
G. Siegert
(
- Julich, NIC
)

- Nucl.Phys.B Proc.Suppl. 47 (1996) 485-488,
- Lattice 1995:0485-488,
- In *Melbourne 1995, Proceedings, Lattice '95* 485-488, and Wuppertal U. - WU-B-95-34 (95,rec.Oct.) 4 p
•
e-Print:
- hep-lat/9510007
•
DOI:
- 10.1016/0920-5632(96)00106-5

Weak decays of heavy - light mesons on the lattice: Semileptonic form-factors

S. Gusken
(
- Wuppertal U.
)
,
G. Siegert
(
- Wuppertal U. and
- Julich, NIC and
- DESY
)
,
K. Schilling
(
- Wuppertal U. and
- Julich, NIC and
- DESY
)

- Prog.Theor.Phys.Suppl. 122 (1996) 129-137
•
e-Print:
- hep-lat/9507002
•
DOI:
- 10.1143/PTPS.122.129

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
)

et al.

- Nucl.Phys.B 416 (1994) 675-698
•
e-Print:
- hep-lat/9308007
•
DOI:
- 10.1016/0550-3213(94)90327-1

Lattice calculation of D and B meson semileptonic decays using the Clover action at beta = 6.0 on APE

APE

Collaboration

•

C.R. Allton
(
- Rome U. and
- INFN, Rome
)

et al.

- Phys.Lett.B 345 (1995) 513-523
•
e-Print:
- hep-lat/9411011
•
DOI:
- 10.1016/0370-2693(94)01629-Q

Lattice constrained unitarity bounds for anti-B0 ---> pi+ lepton- anti-lepton-neutrino decays

Laurent Lellouch
(
- Marseille, CPT
)

- Nucl.Phys.B 479 (1996) 353-391
•
e-Print:
- hep-ph/9509358
•
DOI:
- 10.1016/0550-3213(96)00443-9

D* D pi and B* B pi couplings in QCD

V.M. Belyaev
(
- Jefferson Lab
)
,
Vladimir M. Braun
(
- Munich, Max Planck Inst.
)
,
A. Khodjamirian
(
- Munich U.
)
,
R. Ruckl
(
- Munich, Max Planck Inst. and
- Munich U.
)

- Phys.Rev.D 51 (1995) 6177-6195
•
e-Print:
- hep-ph/9410280
•
DOI:
- 10.1103/PhysRevD.51.6177

Some new results in O(a) improved lattice QCD

Martin Luscher
(
- DESY
)
,
Stefan Sint
(
- Munich, Max Planck Inst.
)
,
Rainer Sommer
(
- CERN and
- DESY, Zeuthen
)
,
Peter Weisz
(
- Munich, Max Planck Inst.
)
,
Hartmut Wittig
(
- DESY, Zeuthen and
- Julich, NIC
)

et al.

- Nucl.Phys.B Proc.Suppl. 53 (1997) 905-913,
- Lattice 96:905-913
•
e-Print:
- hep-lat/9608049
•
DOI:
- 10.1016/S0920-5632(96)00815-8

The Exclusive decay B ---> rho e neutrino beyond model calculations

Patricia Ball
(
- CERN
)

•
e-Print:
- hep-ph/9605233

B meson exclusive decays into baryons

V.L. Chernyak
(
- College de France
)
,
I.R. Zhitnitsky
(
- Irkutsk State U.
)

- Nucl.Phys.B 345 (1990) 137-172
•
DOI:
- 10.1016/0550-3213(90)90612-H

Weak matrix elements on the lattice - circa 1995

A. Soni
(
- Brookhaven
)

- Nucl.Phys.B Proc.Suppl. 47 (1996) 43-58,
- In *Melbourne 1995, Lattice '95* 43-48
•
e-Print:
- hep-lat/9510036
•
DOI:
- 10.1016/0920-5632(96)00031-X

Long Range Effects in $B(5273) \to \gamma + K^*$ (892)

Eugene Golowich
(
- Hawaii U.
)
,
Sandip Pakvasa
(
- Hawaii U.
)

- Phys.Lett.B 205 (1988) 393-396
•
DOI:
- 10.1016/0370-2693(88)91685-1

Uncertainties from long range effects in B ---> K* gamma

- Phys.Rev.D 51 (1995) 1215-1223
•
e-Print:
- hep-ph/9408370
•
DOI:
- 10.1103/PhysRevD.51.1215

Radiative weak decays of charm mesons

Gustavo Burdman
(
- Fermilab
)
,
Eugene Golowich
(
- Massachusetts U., Amherst
)
,
JoAnne L. Hewett
(
- SLAC
)
,
Sandip Pakvasa
(
- Hawaii U.
)

- Phys.Rev.D 52 (1995) 6383-6399
•
e-Print:
- hep-ph/9502329
•
DOI:
- 10.1103/PhysRevD.52.6383

Feasibility of extracting V(td) from radiative B (B(s)) decays

- Int.J.Mod.Phys.A 11 (1996) 3743-3760,
- Nuovo Cim.A 109 (1996) 873-883
•
e-Print:
- hep-ph/9408373
•
DOI:
- 10.1142/S0217751X96001759

Relationship Between Form-factors in Semileptonic $\bar{B}$ and $D$ Decays and Exclusive Rare $\bar{B}$ Meson Decays

Nathan Isgur
(
- Toronto U.
)
,
Mark B. Wise
(
- Caltech
)

- Phys.Rev.D 42 (1990) 2388-2391
•
DOI:
- 10.1103/PhysRevD.42.2388

- Phys.Rev.D 42 5751

Determination of |V(ts)| from D ---> K* lepton neutrino and B ---> K+ gamma data via heavy quark symmetry and perturbative QCD

- Phys.Rev.D 50 (1994) 5751-5761
•
e-Print:
- hep-ph/9312262
•
DOI:
- 10.1103/PhysRevD.50.5751

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