The Nucleon axial-vector coupling beyond one loop

Bernard, Veronique; Meissner, Ulf-G.

doi:10.1016/j.physletb.2006.06.018

The Nucleon axial-vector coupling beyond one loop

May, 2006

9 pages

Published in:

Phys.Lett.B 639 (2006) 278-282

e-Print:

hep-lat/0605010 [hep-lat]

DOI:

10.1016/j.physletb.2006.06.018

Report number:

FZJ-IKP-TH-2006-07,
HISKP-TH-06-11

View in:

reference search69 citations

Citations per year

Abstract: (arXiv)

We analyze the nucleon axial-vector coupling to two loops in chiral perturbation theory. We show that chiral extrapolations based on this representation require lattice data with pion masses below 300 MeV.

gauge field theory: SU(2)
lattice field theory
effective Lagrangian
renormalization
nucleon: coupling constant
coupling constant: axial-vector
coupling constant: mass dependence
pi: mass
numerical calculations

References(27)

Figures(2)

Axial structure of the nucleon: Topical Review

- J.Phys.G 28 (2002) R1-R35
•
e-Print:
- hep-ph/0107088
•
DOI:
- 10.1088/0954-3899/28/1/201

Nucleon axial charge from quenched lattice QCD with domain wall fermions and DBW2 gauge action

RBC

Collaboration

•

Shigemi Ohta
(
- KEK, Tsukuba and
- RIKEN BNL
)

for the collaboration.

- Nucl.Phys.B Proc.Suppl. 119 (2003) 389-391,
•
e-Print:
- hep-lat/0210006
•
DOI:
- 10.1016/S0920-5632(03)01563-9

Nucleon axial charge from quenched lattice QCD with domain wall fermions

RIKEN-BNL-Columbia-KEK

Collaboration

•

Shoichi Sasaki
(
- Tokyo U.
)

et al.

- Phys.Rev.D 68 (2003) 054509
•
e-Print:
- hep-lat/0306007
•
DOI:
- 10.1103/PhysRevD.68.054509

Axial and tensor charge of the nucleon with dynamical fermions

et al.

- Nucl.Phys.B Proc.Suppl. 140 (2005) 408-410,
•
e-Print:
- hep-lat/0409161
•
DOI:
- 10.1016/j.nuclphysbps.2004.11.320

The Nucleon axial charge in full lattice QCD

LHPC

Collaboration

•

R.G. Edwards
(
- Jefferson Lab
)

et al.

- Phys.Rev.Lett. 96 (2006) 052001
•
e-Print:
- hep-lat/0510062
•
DOI:
- 10.1103/PhysRevLett.96.052001

Baryon axial charge in a finite volume

Silas R. Beane
(
- New Hampshire U. and
- Jefferson Lab
)
,
Martin J. Savage
(
- Washington U., Seattle
)

- Phys.Rev.D 70 (2004) 074029
•
e-Print:
- hep-ph/0404131
•
DOI:
- 10.1103/PhysRevD.70.074029

Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume

et al.

- Phys.Rev.D 74 (2006) 094508
•
e-Print:
- hep-lat/0603028
•
DOI:
- 10.1103/PhysRevD.74.094508

Field redefinitions and wave function renormalization to O(p**4) in heavy baryon chiral perturbation theory

Joachim Kambor
(
- Zurich U.
)
,
Martin Mojzis
(
- Comenius U.
)

- JHEP 04 (1999) 031
•
e-Print:
- hep-ph/9901235
•
DOI:
- 10.1088/1126-6708/1999/04/031

Quark mass dependence of the nucleon axial vector coupling constant

Thomas R. Hemmert
(
- Munich, Tech. U.
)
,
Massimiliano Procura
(
- Munich, Tech. U. and
- ECT, Trento
)
,
Wolfram Weise
(
- Munich, Tech. U. and
- ECT, Trento
)

- Phys.Rev.D 68 (2003) 075009
•
e-Print:
- hep-lat/0303002
•
DOI:
- 10.1103/PhysRevD.68.075009

Quark mass dependence of nucleon mass and axial-vector coupling constant

- Nucl.Phys.B Proc.Suppl. 153 (2006) 229-233
•
e-Print:
- hep-lat/0512026
•
DOI:
- 10.1016/j.nuclphysbps.2006.01.042

Quark mass dependence of baryon properties

Ulf-G. Meissner
(
- Bonn U., HISKP and
- Julich, Forschungszentrum
)

- PoS LAT2005 (2006) 009
•
e-Print:
- hep-lat/0509029
•
DOI:
- 10.22323/1.020.0009

The pion and proton mass in finite volume

- Nucl.Phys.B Proc.Suppl. 153 (2006) 41-48
•
e-Print:
- hep-lat/0512002
•
DOI:
- 10.1016/j.nuclphysbps.2006.01.004

Nucleon electroweak form-factors: Analysis of their spectral functions

- Nucl.Phys.A 611 (1996) 429-441
•
e-Print:
- hep-ph/9607428
•
DOI:
- 10.1016/S0375-9474(96)00291-6

Chiral dynamics in nucleons and nuclei

- Int.J.Mod.Phys.E 4 (1995) 193-346
•
e-Print:
- hep-ph/9501384
•
DOI:
- 10.1142/S0218301395000092

Chiral structure of the nucleon

Veronique Bernard
(
- Strasbourg, CRN
)
,
Norbert Kaiser
(
- Munich, Tech. U.
)
,
Joachim Kambor
(
- Munich, Tech. U.
)
,
Ulf G. Meissner
(
- Bern U.
)

- Nucl.Phys.B 388 (1992) 315-345
•
DOI:
- 10.1016/0550-3213(92)90615-I

Pion - nucleon scattering in chiral perturbation theory. 1. Isospin symmetric case

Nadia Fettes
(
- Julich, Forschungszentrum
)
,
Ulf-G. Meissner
(
- Julich, Forschungszentrum
)
,
Sven Steininger
(
- Julich, Forschungszentrum and
- Bonn U.
)

- Nucl.Phys.A 640 (1998) 199-234
•
e-Print:
- hep-ph/9803266
•
DOI:
- 10.1016/S0375-9474(98)00452-7

Phenomenological Lagrangians

Steven Weinberg
(
- Harvard U. and
- Harvard-Smithsonian Ctr. Astrophys.
)

- Physica A 96 (1979) 1-2, 327-340
•
DOI:
- 10.1016/0378-4371(79)90223-1

Double chiral logs in the $\pi \pi$ scattering amplitude

G. Colangelo
(
- Bern U.
)

- Phys.Lett.B 350 (1995) 85-91,
- Phys.Lett.B 361 (1995) 234-234 (erratum)
•
e-Print:
- hep-ph/9502285
•
DOI:
- 10.1016/0370-2693(95)00349-P

Double chiral logs

J. Bijnens
(
- Lund U., Dept. Theor. Phys.
)
,
G. Colangelo
(
- Frascati
)
,
G. Ecker
(
- Vienna U.
)

- Phys.Lett.B 441 (1998) 437-446
•
e-Print:
- hep-ph/9808421
•
DOI:
- 10.1016/S0370-2693(98)01193-9

The Chiral logs of the K ---> pi pi amplitude

Matthias Buchler
(
- Washington U., Seattle
)

- Phys.Lett.B 633 (2006) 497-506
•
e-Print:
- hep-ph/0511087
•
DOI:
- 10.1016/j.physletb.2005.12.018

Renormalization group equations for effective field theories

Matthias Buchler
(
- Zurich U. and
- Bern U.
)
,
Gilberto Colangelo
(
- Bern U.
)

- Eur.Phys.J.C 32 (2003) 427-442
•
e-Print:
- hep-ph/0309049
•
DOI:
- 10.1140/epjc/s2003-01390-2

Low-energy expansion of the pion - nucleon Lagrangian

G. Ecker
(
- Vienna U.
)
,
M. Mojzis
(
- Vienna U. and
- Comenius U.
)

- Phys.Lett.B 365 (1996) 312-318
•
e-Print:
- hep-ph/9508204
•
DOI:
- 10.1016/0370-2693(95)01275-3

Ground state energy of pionic hydrogen to one loop

J. Gasser
(
- Bern U.
)
,
M.A. Ivanov
(
- Dubna, JINR
)
,
E. Lipartia
(
- Lund U. and
- Dubna, JINR and
- Tbilisi State U.
)
,
M. Mojzis
(
- Massachusetts U., Amherst and
- Comenius U.
)
,
A. Rusetsky
(
- Bern U. and
- Tbilisi State U.
)

The Nucleon axial-vector coupling beyond one loop

Citations per year

Axial structure of the nucleon: Topical Review

Nucleon axial charge from quenched lattice QCD with domain wall fermions and DBW2 gauge action

Nucleon axial charge from quenched lattice QCD with domain wall fermions

Axial and tensor charge of the nucleon with dynamical fermions

The Nucleon axial charge in full lattice QCD

Baryon axial charge in a finite volume

Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume

Field redefinitions and wave function renormalization to O(p**4) in heavy baryon chiral perturbation theory

Quark mass dependence of the nucleon axial vector coupling constant

Quark mass dependence of nucleon mass and axial-vector coupling constant

Quark mass dependence of baryon properties

The pion and proton mass in finite volume

Nucleon electroweak form-factors: Analysis of their spectral functions

Chiral dynamics in nucleons and nuclei

Chiral structure of the nucleon

Pion - nucleon scattering in chiral perturbation theory. 1. Isospin symmetric case

Phenomenological Lagrangians

Double chiral logs in the $\pi \pi$ scattering amplitude

Double chiral logs

The Chiral logs of the K ---> pi pi amplitude

Renormalization group equations for effective field theories

Low-energy expansion of the pion - nucleon Lagrangian

Ground state energy of pionic hydrogen to one loop

One loop analysis of the reaction pi N ---> pi pi N

Aspects of chiral pion - nucleon physics