Application of Heavy Quark Effective Theory to Lattice QCD: 3. Radiative Corrections to Heavy Heavy Currents

We apply heavy-quark effective theory (HQET) to separate long- and short-distance effects of heavy quarks in lattice gauge theory. In this paper we focus on flavor-changing currents that mediate transitions from one heavy flavor to another. We stress differences in the formalism for heavy-light currents, which are discussed in a companion paper, showing how HQET provides a systematic matching procedure. We obtain one-loop results for the matching factors of lattice currents, needed for heavy-quark phenomenology, such as the calculation of zero-recoil form factors for the semileptonic decays

B\to D^{(*)}l\nu

. Results for the Brodsky-Lepage-Mackenzie scale

q^*

are also given.

12.38.Gc
12.15.Hh
13.20.He
lattice field theory: action
quantum chromodynamics
HQET model
effect: long-range
effect: short-range
current: flavor changing
current: vector

References(58)

Figures(0)

Application of heavy quark effective theory to lattice QCD. 1. Power corrections

Andreas S. Kronfeld
(
- Fermilab
)

- Phys.Rev.D 62 (2000) 014505
•
e-Print:
- hep-lat/0002008
•
DOI:
- 10.1103/PhysRevD.62.014505

Application of Heavy Quark Effective Theory to Lattice QCD. 2. Radiative Corrections to Heavy Light Currents

Junpei Harada
(
- Hiroshima U.
)
,
Shoji Hashimoto
(
- KEK, Tsukuba
)
,
Ken-Ichi Ishikawa
(
- KEK, Tsukuba and
- Tsukuba U., RCCP
)
,
Andreas S. Kronfeld
(
- Tsukuba U., RCCP and
- Fermilab
)
,
Tetsuya Onogi
(
- Hiroshima U. and
- Kyoto U., Yukawa Inst., Kyoto
)

et al.

- Phys.Rev.D 65 (2002) 094513,
- Phys.Rev.D 71 (2005) 019903 (erratum)
•
e-Print:
- hep-lat/0112044
•
DOI:
- 10.1103/PhysRevD.71.019903

Progress in QCD using lattice gauge theory

Andreas S. Kronfeld
(
- Fermilab
)
,
Paul B. Mackenzie
(
- Fermilab
)

- Ann.Rev.Nucl.Part.Sci. 43 (1993) 793-828
•
e-Print:
- hep-ph/9303305
•
DOI:
- 10.1146/annurev.ns.43.120193.004045

- Nucl.Phys.B 83 3

Lattice calculations and hadron physics

S. Aoki
(
- Tsukuba U.
)

- Int.J.Mod.Phys.A 15S1 (2000) 657-683,
- eConf C990809 (2000) 657-683,
•
e-Print:
- hep-ph/9912288
•
DOI:
- 10.1142/S0217751X0000536X

- Nucl.Phys.B 106 86

Massive fermions in lattice gauge theory

Aida X. El-Khadra
(
- Illinois U., Urbana
)
,
Andreas S. Kronfeld
(
- Fermilab
)
,
Paul B. Mackenzie
(
- Fermilab
)

- Phys.Rev.D 55 (1997) 3933-3957
•
e-Print:
- hep-lat/9604004
•
DOI:
- 10.1103/PhysRevD.55.3933

Weak Decays of Heavy Mesons in the Static Quark Approximation

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

- Phys.Lett.B 232 (1989) 113-117
•
DOI:
- 10.1016/0370-2693(89)90566-2

Weak transition form factors between heavy mesons

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

- Phys.Lett.B 237 (1990) 527-530,
- DPF Conf.1990:0459-464
•
DOI:
- 10.1016/0370-2693(90)91219-2

Continuum Limit and Improved Action in Lattice Theories. 1. Principles and $\varphi^4$ Theory

K. Symanzik
(
- DESY
)

- Nucl.Phys.B 226 (1983) 187-204
•
DOI:
- 10.1016/0550-3213(83)90468-6

Chiral symmetry and O(a) improvement in lattice QCD

Martin Luscher
(
- DESY
)
,
Stefan Sint
(
- Munich, Max Planck Inst.
)
,
Rainer Sommer
(
- CERN
)
,
Peter Weisz
(
- Munich, Max Planck Inst.
)

- Nucl.Phys.B 478 (1996) 365-400
•
e-Print:
- hep-lat/9605038
•
DOI:
- 10.1016/0550-3213(96)00378-1

Nonperturbative renormalization of lattice QCD at all scales

Karl Jansen
(
- DESY
)
,
Chuan Liu
(
- DESY
)
,
Martin Luscher
(
- DESY
)
,
Hubert Simma
(
- Edinburgh U.
)
,
Stefan Sint
(
- Munich, Max Planck Inst.
)

et al.

- Phys.Lett.B 372 (1996) 275-282
•
e-Print:
- hep-lat/9512009
•
DOI:
- 10.1016/0370-2693(96)00075-5

Nonperturbative O(a) improvement of lattice QCD

Martin Luscher
(
- DESY
)
,
Stefan Sint
(
- Florida State U., SCRI
)
,
Rainer Sommer
(
- DESY, Zeuthen and
- CERN
)
,
Peter Weisz
(
- Munich, Max Planck Inst.
)
,
Ulli Wolff
(
- Humboldt U., Berlin
)

- Nucl.Phys.B 491 (1997) 323-343
•
e-Print:
- hep-lat/9609035
•
DOI:
- 10.1016/S0550-3213(97)00080-1

Improved Continuum Limit Lattice Action for QCD with Wilson Fermions

B. Sheikholeslami
(
- Hamburg U.
)
,
R. Wohlert
(
- Hamburg U.
)

- Nucl.Phys.B 259 (1985) 572,
- Nucl. Phys. B259 ( 1985) 572-596 and Hamburg Desy - DESY 85-024 (85,REC.MAR.) 26p
•
DOI:
- 10.1016/0550-3213(85)90002-1