Chiral sum rules and their phenomenology

Journal Article · Tue Feb 01 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.1513· OSTI ID:5288303

Donoghue, J F; Golowich, E ^[1]

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1. Department of Physics and Astronomy, University of Massachusetts, Amherst, Massachusetts 01003 (United States)

We present an analysis of four sum rules, each based on chiral symmetry and containing the difference [rho][sub [ital V]]([ital s])[minus][rho][sub [ital A]]([ital s]) of isovector vector and axial-vector spectral functions. Experimental data from [tau] lepton decay and electron-positron scattering identify the spectral functions over a limited kinematic domain. We summarize the status of the existing database. However, a successful determination of the sum rules requires additional content, in the form of theoretical input. We show how chiral symmetry and the operator product expansion can be used to constrain the spectral functions, respectively, in the low energy and the high energy limits and proceed to perform a phenomenological test of the sum rules.

• OSTI ID: 5288303
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:3; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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Conservation Laws
Currents & Their Properties-- (1992-)
662130* -- General Theory of Particles & Fields-- S-Matrix Theory
Relativistic Scattering Theory-- (1992-)
662310 -- Weak & Electromagnetic Interactions of Leptons-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
DECAY
ELECTRON-POSITRON INTERACTIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
HEAVY LEPTONS
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
LEPTONS
OPERATOR PRODUCT EXPANSION
PARTICLE DECAY
PARTICLE INTERACTIONS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SEMILEPTONIC DECAY
SERIES EXPANSION
SPECTRAL FUNCTIONS
SUM RULES
SYMMETRY
TAU PARTICLES
WEAK PARTICLE DECAY