Chiral expansions of the pi0 lifetime

lifetime are reexamined. We consider NNLO corrections and we compute all the one-loop and the two-loop diagrams which contribute to the decay amplitude at NNLO in the two-flavour chiral expansion. We show that the result is renormalizable, as Weinberg consistency conditions are satisfied. We find that chiral logarithms are present at this order unlike the case at NLO. The result could be used in conjunction with lattice QCD simulations, the feasibility of which was recently demonstrated. We discuss the matching between the two-flavour and the three-flavour chiral expansions in the anomalous sector at order one-loop and derive the relations between the coupling constants. A modified chiral counting is proposed, in which

m_s

counts as

O(p)

. We have updated the various inputs needed and used this to make a phenomenological prediction.

12.15.Ff
11.30.Rd
12.39.Fe
13.40.Hq
pi0: radiative decay
pi0: width
pi0: lifetime
amplitude analysis: decay
current algebra
quark: mass

References(58)

Figures(7)

Performance of the PrimEx electromagnetic calorimeter

PrimEx

Collaboration

•

M. Kubantsev
(
- Moscow, ITEP and
- Northwestern U.
)

et al.

- AIP Conf.Proc. 867 (2006) 1, 51-58
•
e-Print:
- physics/0609201
•
DOI:
- 10.1063/1.2396938

Testing the {PCAC} Prediction for the $\pi^0$ Lifetime

Yoshihisa Kitazawa
(
- Chicago U., EFI
)

- Phys.Lett.B 151 (1985) 165-170
•
DOI:
- 10.1016/0370-2693(85)91407-8

Chiral Loops in pi0, eta0 ---> gamma gamma and eta eta-prime Mixing

- Phys.Rev.Lett. 55 (1985) 2766-2769,
- Phys.Rev.Lett. 61 (1988) 1527-1527 (erratum),
- Phys. Rev. Lett. 55 ( 1985) 2766-2769
•
DOI:
- 10.1103/PhysRevLett.55.2766

Pseudoscalar Decays Into Photon-photon in Chiral Perturbation Theory

Johan Bijnens
(
- Munich U.
)
,
Albert Bramon
(
- Barcelona, Autonoma U.
)
,
Fernando Cornet
(
- Munich, Max Planck Inst.
)

- Phys.Rev.Lett. 61 (1988) 1453
•
DOI:
- 10.1103/PhysRevLett.61.1453

Chiral Symmetry Breaking Corrections in Two Photon Decays of Pseudoscalar Mesons

Riazuddin
(
- KFUPM, Dhahran
)
,
Fayyazuddin
(
- Umm Al-Qura U.
)

- Phys.Rev.D 37 (1988) 149
•
DOI:
- 10.1103/PhysRevD.37.149

Chiral sum rules for parameters of the order six Lagrangian in the W-Z sector and application to pi0, eta, eta-prime decays

B. Moussallam
(
- Orsay, IPN
)

- Phys.Rev.D 51 (1995) 4939-4949
•
e-Print:
- hep-ph/9407402
•
DOI:
- 10.1103/PhysRevD.51.4939

Electromagnetic corrections in the anomaly sector

- JHEP 05 (2002) 052
•
e-Print:
- hep-ph/0205232
•
DOI:
- 10.1088/1126-6708/2002/05/052

Two photon decay of the pseudoscalars, the chiral symmetry breaking corrections

N. F. Nasrallah
(
- Lebanese U.
)

- Phys.Rev.D 66 (2002) 076012
•
DOI:
- 10.1103/PhysRevD.66.076012

The Decay pi0 ---> gamma gamma to next to leading order in chiral perturbation theory

J.L. Goity
(
- Hampton U. and
- Jefferson Lab
)
,
A.M. Bernstein
(
- MIT, LNS
)
,
B.R. Holstein
(
- Massachusetts U., Amherst
)

- Phys.Rev.D 66 (2002) 076014
•
e-Print:
- hep-ph/0206007
•
DOI:
- 10.1103/PhysRevD.66.076014

Axial anomaly and the precise value of the pi0 ---> 2 gamma decay width

B.L. Ioffe
(
- Moscow, ITEP
)
,
A.G. Oganesian
(
- Moscow, ITEP
)

- Phys.Lett.B 647 (2007) 389-393
•
e-Print:
- hep-ph/0701077
•
DOI:
- 10.1016/j.physletb.2007.02.021

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

Introduction to chiral perturbation theory

Stefan Scherer
(
- Mainz U., Inst. Kernphys.
)

- Adv.Nucl.Phys. 27 (2003) 277,
•
e-Print:
- hep-ph/0210398

Virtual photons in chiral perturbation theory

Res Urech
(
- Bern U.
)

- Nucl.Phys.B 433 (1995) 234-254
•
e-Print:
- hep-ph/9405341
•
DOI:
- 10.1016/0550-3213(95)90707-N

Light-Meson Two-Photon Decays in Full QCD

- PoS LATTICE2008 (2008) 159
•
e-Print:
- 0810.5550
•
DOI:
- 10.22323/1.066.0159

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

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

Consequences of anomalous Ward identities

J. Wess
(
- CERN and
- Karlsruhe U.
)
,
B. Zumino
(
- CERN
)

- Phys.Lett.B 37 (1971) 95-97
•
DOI:
- 10.1016/0370-2693(71)90582-X

Global Aspects of Current Algebra

Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 223 (1983) 422-432,
- IN *SHAPERE, A. (ED.), WILCZEK, F. (ED.): GEOMETRIC PHASES IN PHYSICS* 369-379. (NUCL. PHYS. B223 (1983) 422-432) AND PREPRINT - WITTEN, E. (REC.APR.83) 18 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(83)90063-9