QCD sum rules and the pi (1300) resonance - INSPIRE

DataBETA

QCD sum rules and the pi (1300) resonance

Thomas G. Steele
(
- Saskatchewan U.
)
,
J.C. Breckenridge
(
- Saskatchewan U.
)
,
M. Benmerrouche
(
- Saskatchewan U.
)
,
V. Elias
(
- Western Ontario U.
)
,
A.H. Fariborz
(
- Western Ontario U.
)

Aug, 1997

8 pages

Published in:

Nucl.Phys.A 624 (1997) 517-526

e-Print:

hep-ph/9708454 [hep-ph]

DOI:

10.1016/S0375-9474(97)00472-7

View in:

reference search9 citations

Citations per year

Abstract:

Global fits to the shape of the first QCD Laplace sum rule exhibiting sensitivity to pion-resonance [

\Pi (1300)

] parameters are performed, leading to predictions for the pion-resonance mass and decay constant. Two scenarios are considered which differ only in their treatment of the dimension-six quark condensate

< O_6>

. The first scenario assumes an effective scale for

< O_6>

from other sum-rule applications which is assumed to be independent of the physical value of the quark mass, while the second scenario requires self-consistency between the value of

< O_6>

and the current algebra constraint

2m< \bar q q>=-f_\pi^2m_\pi^2

. Predictions of the pion-resonance mass

M_\pi

and decay constant

F_\pi

are obtained in these two scenarios. A byproduct of this analysis is a prediction of the renormalization-group invariant quark mass

(\hat m_u+\hat m_d)/2

.

Note:

latex, 8 pages, 5 figures

14.40.Cs
14.65.Bt
Sum rules
quantum chromodynamics: sum rule
pi(1300): mass
pi(1300): decay constant
quark: condensation
dimension: 6
current algebra
quark: mass

References(16)

Figures(0)

QCD and Resonance Physics. Theoretical Foundations

- Nucl.Phys.B 147 (1979) 385-447
•
DOI:
- 10.1016/0550-3213(79)90022-1

QCD and Resonance Physics: Applications

- Nucl.Phys.B 147 (1979) 448-518
•
DOI:
- 10.1016/0550-3213(79)90023-3

Light Quark Masses in Quantum Chromodynamics and Chiral Symmetry Breaking

- Z.Phys.C 8 (1981) 335
•
DOI:
- 10.1007/BF01546328

Heavy and Heavy to Light Quark Expansions

- Z.Phys.C 32 (1986) 43
•
DOI:
- 10.1007/BF01441349

Below unitarity threshold branch cut in the (anti-q q) coefficient of the axial vector two current correlation function

- Z.Phys.C 60 (1993) 235-241
•
DOI:
- 10.1007/BF01474619

Pseudoscalar Mesons and Instantons

Edward V. Shuryak
(
- CERN
)

- Nucl.Phys.B 214 (1983) 237-252
•
DOI:
- 10.1016/0550-3213(83)90660-0

Multi - instanton effects in QCD sum rules for the pion

- J.Phys.G 23 (1997) 643-649
•
e-Print:
- hep-th/9601086
•
DOI:
- 10.1088/0954-3899/23/6/003

- Nucl.Phys.B 357 61

Where are the corrections to the goldberger-treiman relation?

H. Pagels
(
- Rockefeller U.
)
,
A. Zepeda
(
- Rockefeller U.
)

- Phys.Rev.D 5 (1972) 3262-3268
•
DOI:
- 10.1103/PhysRevD.5.3262

Light Quark Masses in QCD from Local Duality

C.A. Dominguez
(
- ICTP, Trieste
)
,
E. de Rafael
(
- Marseille, CPT and
- Vienna U.
)

- Annals Phys. 174 (1987) 372
•
DOI:
- 10.1016/0003-4916(87)90033-9

- Phys.Lett.B 57 103

The Pole Mass in Perturbative QCD

R. Tarrach
(
- Marseille, CPT
)

- Nucl.Phys.B 183 (1981) 384-396
•
DOI:
- 10.1016/0550-3213(81)90140-1

QCD sum rules for skeptics

Derek B. Leinweber
(
- Washington U., Seattle and
- TRIUMF
)

- Annals Phys. 254 (1997) 328-396
•
e-Print:
- nucl-th/9510051
•
DOI:
- 10.1006/aphy.1996.5641

Review of particle physics. Particle Data Group

et al.

- Phys.Rev.D 54 (1996) 1, 1-720
•
DOI:
- 10.1103/PhysRevD.54.1

Determination of Quark and Gluon Vacuum Condensates From $\tau$ Lepton Decay Data

C.A. Dominguez
(
- DESY
)
,
J. Sola
(
- DESY
)

- Z.Phys.C 40 (1988) 63
•
DOI:
- 10.1007/BF01559718

A method to calculate ratios among QCD condensates

- Nucl.Phys.B 357 (1991) 3-31,
- Nucl.Phys.B 357 (1991) 3-31
•
DOI:
- 10.1016/0550-3213(91)90457-9