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What {pi}-{pi} scattering tells us about chiral perturbation theory

Technical Report:

Abstract

A rearrangement of the standard expansion of the symmetry breaking part of the QCD effective Lagrangian is described that includes into each order additional terms which in the standard chiral perturbation theory {chi}PT, are relegated to higher orders. The new expansion represents a systematic and unambiguous generalization of the standard {chi}PT and is more likely to converge rapidly. It provides a consistent framework for a measurement of the importance of additional `higher order` terms whose smallness is usually assumed but has never been checked. A method of measuring, among other quantities, the QCD parameters m-circumflex(q-barq) and the quark mass ratio m{sub s}/m-circumflex is elaborated in detail. The method is illustrated using various sets of available data. The importance of new, more accurate, experimental information on low-energy {pi}-{pi} scattering is stressed. (author) 33 refs.; 6 figs.; 5 tabs.
Authors:
Stern, J; Sazdjian, H; [1]  Fuchs, N H [2] 
  1. Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
  2. Purdue Univ., Lafayette, IN (United States). Dept. of Physics
Publication Date:
Dec 31, 1992
Product Type:
Technical Report
Report Number:
IPNO-TH-92-106
Reference Number:
SCA: 662340; 662230; PA: AIX-25:004199; EDB-94:015795; ERA-19:005661; NTS-94:014788; SN: 93001121099
Resource Relation:
Other Information: PBD: 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; PION-PION INTERACTIONS; LAGRANGIAN FUNCTION; PERTURBATION THEORY; CHIRAL SYMMETRY; MEASURING METHODS; QUANTUM CHROMODYNAMICS; SYMMETRY BREAKING; 662340; 662230; HADRON INTERACTIONS
OSTI ID:
10109880
Research Organizations:
Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
Country of Origin:
France
Language:
English
Other Identifying Numbers:
Other: ON: DE94609683; TRN: FR9303113004199
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
FRN
Size:
78 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Stern, J, Sazdjian, H, and Fuchs, N H. What {pi}-{pi} scattering tells us about chiral perturbation theory. France: N. p., 1992. Web.
Stern, J, Sazdjian, H, & Fuchs, N H. What {pi}-{pi} scattering tells us about chiral perturbation theory. France.
Stern, J, Sazdjian, H, and Fuchs, N H. 1992. "What {pi}-{pi} scattering tells us about chiral perturbation theory." France.
@misc{etde_10109880,
title = {What {pi}-{pi} scattering tells us about chiral perturbation theory}
author = {Stern, J, Sazdjian, H, and Fuchs, N H}
abstractNote = {A rearrangement of the standard expansion of the symmetry breaking part of the QCD effective Lagrangian is described that includes into each order additional terms which in the standard chiral perturbation theory {chi}PT, are relegated to higher orders. The new expansion represents a systematic and unambiguous generalization of the standard {chi}PT and is more likely to converge rapidly. It provides a consistent framework for a measurement of the importance of additional `higher order` terms whose smallness is usually assumed but has never been checked. A method of measuring, among other quantities, the QCD parameters m-circumflex(q-barq) and the quark mass ratio m{sub s}/m-circumflex is elaborated in detail. The method is illustrated using various sets of available data. The importance of new, more accurate, experimental information on low-energy {pi}-{pi} scattering is stressed. (author) 33 refs.; 6 figs.; 5 tabs.}
place = {France}
year = {1992}
month = {Dec}
}