Power counting in dimensionally regularized NRQCD

Luke, Michael E.; Savage, Martin J.

doi:10.1103/PhysRevD.57.413

Power counting in dimensionally regularized NRQCD

Jul, 1997

18 pages

Published in:

Phys.Rev.D 57 (1998) 413-423

e-Print:

hep-ph/9707313 [hep-ph]

DOI:

10.1103/PhysRevD.57.413

Report number:

UTPT-97-12,
DOE-ER-41014-21-N97

View in:

pdf

reference search104 citations

Citations per year

Abstract:

We present a scheme for calculating in NRQCD with consistent power counting in the heavy quark velocity v. As an example, we perform the systematic matching of an external current onto NRQCD at subleading order in v, a calculation relevant for the process e^+e^- -> hadrons near threshold. Consistent velocity power counting in dimensional regularization is achieved by including two distinct gluon fields, one corresponding to gluon radiation and one corresponding to an instantaneous potential. In this scheme power counting is manifest in any gauge, and also holds for non-gauge interactions. The matching conditions for an external vector current in NRQCD are calculated to O(g^2 v^2) and the cancellation of infrared divergences in the matching conditions is shown to require both gluon fields. Some subtleties arising in the matching conditions at subleading order are addressed.

Note:

18 pages, 5 figures, revtex Report-no: UTPT-97-12

13.20.He
12.38.Bx
13.20.Fc
13.30.Ce
quantum chromodynamics: nonrelativistic
velocity
coupling: Yukawa
perturbation theory: higher-order
regularization: dimensional

References(36)

Figures(0)

Effective Lagrangians for Bound State Problems in QED, QCD, and Other Field Theories

W.E. Caswell
(
- Maryland U.
)
,
G.P. Lepage
(
- Cornell U., LNS
)

- Phys.Lett.B 167 (1986) 437-442
•
DOI:
- 10.1016/0370-2693(86)91297-9

Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium

- Phys.Rev.D 51 (1995) 1125-1171,
- Phys.Rev.D 55 (1997) 5853 (erratum)
•
e-Print:
- hep-ph/9407339
•
DOI:
- 10.1103/PhysRevD.55.5853

Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium

- Phys.Rev.D 51 (1995) 1125-1171,
- Phys.Rev.D 55 (1997) 5853 (erratum)
•
e-Print:
- hep-ph/9407339
•
DOI:
- 10.1103/PhysRevD.55.5853

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

An Effective Field Theory for Heavy Quarks at Low-energies

Howard Georgi
(
- Harvard U.
)

- Phys.Lett.B 240 (1990) 447-450
•
DOI:
- 10.1016/0370-2693(90)91128-X

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

Charmonium and Gluons: Basic Experimental Facts and Theoretical Introduction

et al.

- Phys.Rept. 41 (1978) 1-133
•
DOI:
- 10.1016/0370-1573(78)90120-5

Precision determination of alpha-s and m(b) from QCD sum rules for b anti-b

M.B. Voloshin
(
- Minnesota U. and
- Moscow, ITEP
)

- Int.J.Mod.Phys.A 10 (1995) 2865-2880
•
e-Print:
- hep-ph/9502224
•
DOI:
- 10.1142/S0217751X95001364

O ( $\alpha^2$ Log ( $\alpha^$ -1)) Corrections in Positronium: Hyperfine Splitting and Decay Rate

William E. Caswell
(
- Brown U.
)
,
G.Peter Lepage
(
- SLAC and
- Cornell U., LNS
)

- Phys.Rev.A 20 (1979) 36
•
DOI:
- 10.1103/PhysRevA.20.36

Order m-alpha**8 contributions to the decay rate of orthopositronium

- Phys.Rev.Lett. 72 (1994) 2006-2008
•
e-Print:
- hep-ph/9310208
•
DOI:
- 10.1103/PhysRevLett.72.2006

- Phys.Lett.B 51 288

Effective chiral Lagrangians for nucleon - pion interactions and nuclear forces

Steven Weinberg
(
- Texas U.
)

- Nucl.Phys.B 363 (1991) 3-18
•
DOI:
- 10.1016/0550-3213(91)90231-L

Three body interactions among nucleons and pions

Steven Weinberg
(
- Texas U.
)

- Phys.Lett.B 295 (1992) 114-121
•
e-Print:
- hep-ph/9209257
•
DOI:
- 10.1016/0370-2693(92)90099-P

Chiral lagrangians and nuclear forces

C. Ordonez
(
- Texas U.
)
,
U. van Kolck
(
- Texas U.
)

- Phys.Lett.B 291 (1992) 459-464
•
DOI:
- 10.1016/0370-2693(92)91404-W

Nucleon-nucleon potential from an effective chiral Lagrangian

C. Ordonez
(
- Texas U.
)
,
L. Ray
(
- Texas U.
)
,
U. van Kolck
(
- Washington U., Seattle
)

- Phys.Rev.Lett. 72 (1994) 1982-1985
•
DOI:
- 10.1103/PhysRevLett.72.1982

The Two nucleon potential from chiral Lagrangians

C. Ordonez
(
- Texas U. and
- Vanderbilt U.
)
,
L. Ray
(
- Texas U.
)
,
U. van Kolck
(
- Washington U., Seattle
)

- Phys.Rev.C 53 (1996) 2086-2105
•
e-Print:
- hep-ph/9511380
•
DOI:
- 10.1103/PhysRevC.53.2086

Few nucleon forces from chiral Lagrangians

U. van Kolck
(
- Washington U., Seattle
)

- Phys.Rev.C 49 (1994) 2932-2941
•
DOI:
- 10.1103/PhysRevC.49.2932

Nucleon - nucleon scattering from effective field theory

David B. Kaplan
(
- Washington U., Seattle
)
,
Martin J. Savage
(
- Carnegie Mellon U.
)
,
Mark B. Wise
(
- Caltech
)

- Nucl.Phys.B 478 (1996) 629-659
•
e-Print:
- nucl-th/9605002
•
DOI:
- 10.1016/0550-3213(96)00357-4

Heavy Meson Form-factors From {QCD}

- Nucl.Phys.B 343 (1990) 1-13
•
DOI:
- 10.1016/0550-3213(90)90591-Z

Heavy meson pair production in e+ e- annihilation from the static quark effective theory

Adam F. Falk
(
- Harvard U.
)
,
Benjamin Grinstein
(
- Harvard U.
)

- Phys.Lett.B 249 (1990) 314-320
•
DOI:
- 10.1016/0370-2693(90)91262-A

Renormalization of heavy quark currents

Matthias Neubert
(
- Heidelberg U.
)

- Nucl.Phys.B 371 (1992) 149-176
•
DOI:
- 10.1016/0550-3213(92)90233-2

Second order power corrections in the heavy quark effective theory. 1. Formalism and meson form-factors

Adam F. Falk
(
- SLAC
)
,
Matthias Neubert
(
- SLAC
)

- Phys.Rev.D 47 (1993) 2965-2981
•
e-Print:
- hep-ph/9209268
•
DOI:
- 10.1103/PhysRevD.47.2965

Effective Hamiltonian for nonleptonic anti-B or Lambda(b) decays to final states with two charmed hadrons

Benjamin Grinstein
(
- Harvard U.
)
,
Wolfgang Kilian
(
- Darmstadt, Tech. Hochsch.
)
,
Thomas Mannel
(
- Darmstadt, Tech. Hochsch.
)
,
Mark B. Wise
(
- Caltech
)

- Nucl.Phys.B 363 (1991) 19-33,
- Nucl. Phys. B363 (1991) 19-33 and Harvard Univ. Cambridge - HUTP-91-A005 (91,rec.Mar.) 18 p
•
DOI:
- 10.1016/0550-3213(91)90232-M

Improved nonrelativistic QCD for heavy quark physics

- Phys.Rev.D 46 (1992) 4052-4067
•
e-Print:
- hep-lat/9205007
•
DOI:
- 10.1103/PhysRevD.46.4052

1-25 of 36
1
2
25 / page