Dispersive calculation of $B_{7}^{3/2}$ and $B_{8}^{3/2}$ in the chiral limit

We show how the isospin vector and axialvector current spectral functions rho_V and rho_A can be used to determine in leading chiral order the low energy constants B_7^{3/2} and B_8^{3/2}. This is accomplished by matching the Operator Product Expansion to the dispersive analysis of vacuum polarizati...

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Detalles Bibliográficos
Autores principales: Donoghue, J F, Golowich, E
Lenguaje:eng
Publicado: 2000
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/S0370-2693(00)00239-2
http://cds.cern.ch/record/407682
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author Donoghue, J F
Golowich, E
author_facet Donoghue, J F
Golowich, E
author_sort Donoghue, J F
collection CERN
description We show how the isospin vector and axialvector current spectral functions rho_V and rho_A can be used to determine in leading chiral order the low energy constants B_7^{3/2} and B_8^{3/2}. This is accomplished by matching the Operator Product Expansion to the dispersive analysis of vacuum polarization functions. The data for the evaluation of these dispersive integrals has been recently enhanced by the ALEPH measurement of spectral functions in tau decay, and we update our previous phenomenological determination. Our calculation yields in the NDR renormalization scheme and at renormalization scale mu = 2 GeV the values B_7^{3/2} = 0.55 +- 0.07 +- 0.10 and B_8^{3/2} = 1.11 +- 0.16 +- 0.23 for the quark mass values m_s + m = 0.1 GeV.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
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spelling cern-4076822019-09-30T06:29:59Zdoi:10.1016/S0370-2693(00)00239-2http://cds.cern.ch/record/407682engDonoghue, J FGolowich, EDispersive calculation of $B_{7}^{3/2}$ and $B_{8}^{3/2}$ in the chiral limitParticle Physics - PhenomenologyWe show how the isospin vector and axialvector current spectral functions rho_V and rho_A can be used to determine in leading chiral order the low energy constants B_7^{3/2} and B_8^{3/2}. This is accomplished by matching the Operator Product Expansion to the dispersive analysis of vacuum polarization functions. The data for the evaluation of these dispersive integrals has been recently enhanced by the ALEPH measurement of spectral functions in tau decay, and we update our previous phenomenological determination. Our calculation yields in the NDR renormalization scheme and at renormalization scale mu = 2 GeV the values B_7^{3/2} = 0.55 +- 0.07 +- 0.10 and B_8^{3/2} = 1.11 +- 0.16 +- 0.23 for the quark mass values m_s + m = 0.1 GeV.hep-ph/9911309oai:cds.cern.ch:4076822000
spellingShingle Particle Physics - Phenomenology
Donoghue, J F
Golowich, E
Dispersive calculation of $B_{7}^{3/2}$ and $B_{8}^{3/2}$ in the chiral limit
title Dispersive calculation of $B_{7}^{3/2}$ and $B_{8}^{3/2}$ in the chiral limit
title_full Dispersive calculation of $B_{7}^{3/2}$ and $B_{8}^{3/2}$ in the chiral limit
title_fullStr Dispersive calculation of $B_{7}^{3/2}$ and $B_{8}^{3/2}$ in the chiral limit
title_full_unstemmed Dispersive calculation of $B_{7}^{3/2}$ and $B_{8}^{3/2}$ in the chiral limit
title_short Dispersive calculation of $B_{7}^{3/2}$ and $B_{8}^{3/2}$ in the chiral limit
title_sort dispersive calculation of $b_{7}^{3/2}$ and $b_{8}^{3/2}$ in the chiral limit
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0370-2693(00)00239-2
http://cds.cern.ch/record/407682
work_keys_str_mv AT donoghuejf dispersivecalculationofb732andb832inthechirallimit
AT golowiche dispersivecalculationofb732andb832inthechirallimit

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