Asymptotics of the perturbative series for $f_{B^*}/f_B$ - INSPIRE

DataBETA

Asymptotics of the perturbative series for $f_{B^*}/f_B$

Mar, 2003

45 pages

Published in:

Nucl.Phys.B 663 (2003) 280-318,
Nucl.Phys.B 670 (2003) 331-332 (erratum)

e-Print:

hep-ph/0303052 [hep-ph]

DOI:

10.1016/S0550-3213(03)00354-7,
10.1016/j.nuclphysb.2003.08.005 (erratum)

Report number:

TTP02-11,
SFB-CPP-03-03

View in:

ADS Abstract Service

reference search14 citations

Citations per year

Abstract:

We investigate the structure of the leading IR renormalon singularity in the QCD/HQET matching coefficients for heavy-light quark currents beyond the large-\beta_0 limit. From this result, we derive the large-order behaviour of the perturbative series for these coefficients, and for ratios of meson matrix elements, such as f_{B^*}/f_B.

Note:

45 pages, 2 eps figures. v2: small corrections, reference added. v3: reference added. v4: errors in some equations of Appendix B, in (5.8) and Table 2 corrected, numerical changes are very small. Paper also available from http://www-ttp.physik.uni-karlsruhe.de/Preprints/ Report-no: TTP02-11 Journal-ref: Nucl.Phys. B663 (2003) 280-318

12.38.Cy
12.39.Hg
Heavy quark effective theory
Renormalons
quantum chromodynamics
HQET model
renormalization: renormalon
singularity
quark: current
expansion: mass

References(52)

Figures(0)

Renormalons

M. Beneke
(
- CERN
)

- Phys.Rept. 317 (1999) 1-142
•
e-Print:
- hep-ph/9807443
•
DOI:
- 10.1016/S0370-1573(98)00130-6

Singularities of the Borel Transform in Renormalizable Theories

G. Parisi
(
- Ecole Normale Superieure
)

- Phys.Lett.B 76 (1978) 65-66,
- Also in *Parisi, G.: Field theory, disorder and simulations* 148-152, and in *Le Guillou, J.C. (ed.), Zinn-Justin, J. (ed.): Large-order behaviour of perturbation theory* 448-449
•
DOI:
- 10.1016/0370-2693(78)90101-6

Large order behavior due to ultraviolet renormalons in QCD

- Phys.Lett.B 404 (1997) 315-320
•
e-Print:
- hep-ph/9703389
•
DOI:
- 10.1016/S0370-2693(97)00562-5

Heavy quark effective theory beyond perturbation theory: Renormalons, the pole mass and the residual mass term

M. Beneke
(
- Michigan U.
)
,
Vladimir M. Braun
(
- Munich, Max Planck Inst.
)

- Nucl.Phys.B 426 (1994) 301-343
•
e-Print:
- hep-ph/9402364
•
DOI:
- 10.1016/0550-3213(94)90314-X

The Pole mass of the heavy quark. Perturbation theory and beyond

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

- Phys.Rev.D 50 (1994) 2234-2246
•
e-Print:
- hep-ph/9402360
•
DOI:
- 10.1103/PhysRevD.50.2234

Cancellation of renormalon ambiguities in the heavy quark effective theory

Matthias Neubert
(
- CERN
)
,
Christopher T. Sachrajda
(
- Southampton U.
)

- Nucl.Phys.B 438 (1995) 235-260
•
e-Print:
- hep-ph/9407394
•
DOI:
- 10.1016/0550-3213(95)00032-N

Renormalons in effective field theories

Michael E. Luke
(
- Toronto U.
)
,
Aneesh V. Manohar
(
- UC, San Diego
)
,
Martin J. Savage
(
- Carnegie Mellon U.
)

- Phys.Rev.D 51 (1995) 4924-4933
•
e-Print:
- hep-ph/9407407
•
DOI:
- 10.1103/PhysRevD.51.4924

More on ambiguities in the pole mass

M. Beneke
(
- Michigan U.
)

- Phys.Lett.B 344 (1995) 341-347
•
e-Print:
- hep-ph/9408380
•
DOI:
- 10.1016/0370-2693(94)01505-7

Higher order estimates of the chromomagnetic moment of a heavy quark

A.G. Grozin
(
- Novosibirsk, IYF
)
,
M. Neubert
(
- CERN
)

- Nucl.Phys.B 508 (1997) 311-326
•
e-Print:
- hep-ph/9707318
•
DOI:
- 10.1016/S0550-3213(97)00615-9

Matching QCD and heavy-quark effective theory heavy-light currents at two loops and beyond

David J. Broadhurst
(
- Open U., England
)
,
A.G. Grozin
(
- Open U., England
)

- Phys.Rev.D 52 (1995) 4082-4098
•
e-Print:
- hep-ph/9410240
•
DOI:
- 10.1103/PhysRevD.52.4082

Scale setting in QCD and the momentum flow in Feynman diagrams

Matthias Neubert
(
- CERN
)

- Phys.Rev.D 51 (1995) 5924-5941
•
e-Print:
- hep-ph/9412265
•
DOI:
- 10.1103/PhysRevD.51.5924

An Effective Field Theory for the Calculation of Matrix Elements Involving Heavy Quarks

Estia Eichten
(
- Fermilab
)
,
Brian Russell Hill
(
- Fermilab
)

- Phys.Lett.B 234 (1990) 511-516
•
DOI:
- 10.1016/0370-2693(90)92049-O

STATIC EFFECTIVE FIELD THEORY: 1/m CORRECTIONS

Estia Eichten
(
- Fermilab
)
,
Brian Russell Hill
(
- Fermilab
)

- Phys.Lett.B 243 (1990) 427-431
•
DOI:
- 10.1016/0370-2693(90)91408-4

Leading mass corrections to the heavy quark effective theory

- Nucl.Phys.B 357 (1991) 185-207,
- Nucl.Phys.B 357 (1991) 185-207
•
DOI:
- 10.1016/0550-3213(91)90464-9

Reparametrization invariance constraints on heavy particle effective field theories

Michael E. Luke
(
- UC, San Diego
)
,
Aneesh V. Manohar
(
- UC, San Diego
)

- Phys.Lett.B 286 (1992) 348-354
•
e-Print:
- hep-ph/9205228
•
DOI:
- 10.1016/0370-2693(92)91786-9

Two loop anomalous dimension of the chromomagnetic moment of a heavy quark

- Phys.Lett.B 401 (1997) 81-90
•
e-Print:
- hep-ph/9701375
•
DOI:
- 10.1016/S0370-2693(97)00345-6

HQET chromomagnetic interaction at two loops

A. Czarnecki
(
- Karlsruhe U., TTP
)
,
A.G. Grozin
(
- Novosibirsk, IYF
)

- Phys.Lett.B 405 (1997) 142-149,
- Phys.Lett.B 650 (2007) 447 (erratum)
•
e-Print:
- hep-ph/9701415
•
DOI:
- 10.1016/S0370-2693(97)00587-X

On the annihilation constants of mesons consisting of a heavy and a light quark, and $B^0 \leftrightarrow \overline{B}^{-0}$ oscillations

M.B. Voloshin
(
- Moscow, ITEP
)
,
Mikhail A. Shifman
(
- Moscow, ITEP
)

- Sov.J.Nucl.Phys. 45 (1987) 292,
- Yad.Fiz. 45 (1987) 463-466

Leading Logarithms of Heavy Quark Masses in Processes with Light and Heavy Quarks

H.David Politzer
(
- Caltech
)
,
Mark B. Wise
(
- Caltech
)

- Phys.Lett.B 206 (1988) 681-684
•
DOI:
- 10.1016/0370-2693(88)90718-6

Effective Field Theory Approach to Processes Involving Both Light and Heavy Fields

H.David Politzer
(
- Caltech
)
,
Mark B. Wise
(
- Caltech
)

- Phys.Lett.B 208 (1988) 504-507
•
DOI:
- 10.1016/0370-2693(88)90656-9

Subleading logarithmic mass dependence in heavy meson form-factors

Xiang-Dong Ji
(
- MIT, LNS
)
,
M.J. Musolf
(
- MIT, LNS
)

- Phys.Lett.B 257 (1991) 409-413
•
DOI:
- 10.1016/0370-2693(91)91916-J

Two loop renormalization of the effective field theory of a static quark

David J. Broadhurst
(
- Open U., England
)
,
A.G. Grozin
(
- Open U., England
)

- Phys.Lett.B 267 (1991) 105-110
•
e-Print:
- hep-ph/9908362
•
DOI:
- 10.1016/0370-2693(91)90532-U

Calculating three loop diagrams in heavy quark effective theory with integration by parts recurrence relations

A.G. Grozin
(
- Karlsruhe U., TTP
)

- JHEP 03 (2000) 013
•
e-Print:
- hep-ph/0002266
•
DOI:
- 10.1088/1126-6708/2000/03/013

Three loop $\overline{\mathrm{MS}}$ tensor current anomalous dimension in QCD

J.A. Gracey
(
- Liverpool U.
)

- Phys.Lett.B 488 (2000) 175-181
•
e-Print:
- hep-ph/0007171
•
DOI:
- 10.1016/S0370-2693(00)00859-5

Decoupling of heavy quark loops in light-light and heavy - light quark currents

A.G. Grozin
(
- Karlsruhe U., TTP
)

- Phys.Lett.B 445 (1998) 165-167
•
e-Print:
- hep-ph/9810358
•
DOI:
- 10.1016/S0370-2693(98)01439-7

1-25 of 52
1
2
3
25 / page