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Upgraded Breaking Of The HLS Model: A Full Solution to the tau-e+e- and phi Decay Issues And Its Consequences On g-2 VMD Estimates | | M.Benayoun
; P.David
; L.DelBuono
; F.Jegerlehner
; | | Date: |
7 Jun 2011 | | Abstract: | The muon anomalous magnetic moment $a_mu$ and the hadronic vacuum
polarization are examined using data analyzed within the framework of a
suitably broken HLS model. The analysis relies on all available scan data
samples and leaves provisionally aside the existing ISR data. Our HLS model
based global fit approach allows for a better check of consistency between data
sets and we investigate how results depend on different strategies which may be
followed. Relying on global fit qualities, we find several acceptable solutions
leading to ambiguities in the reconstructed value for $(a_mu)_{th}$. Among
these, the most conservative solution is $a_mu^{
m had,LO}[{
m HLS
improved}]=687.72(4.63) imes 10^{-10}$ and
$(a_mu)_{th}=11,659,175.37(5.31) imes 10^{-10}$ corresponding to a $4.1
sigma$ significance for the difference $Delta
a_mu=(a_mu)_{exp}-(a_mu)_{th}$. It is also shown that the various
contributions accessible through the model yield uniformly a factor 2
improvement of their uncertainty. The breaking procedure implemented in the HLS
model is an extension of the former procedure based on the BKY mechanism. This
yields a quite satisfactory simultaneous description of most $e^+e^-$
annihilation channels up to and including the $phi$ meson ($pi^+pi^-$,
$pi^0gamma$, $etagamma$, $pi^+pi^-pi^0$, $K^+K^-$, $K^0 ar{K}^0$) and
of a set of 10 (mostly radiative) decay widths of light mesons. It also allows
to achieve the proof of consistency between the $e^+e^- o pi^+pi^-$
annihilation and the $ au^pm
a pi^pmpi^0
u$ decay and gives a solution
to the reported problem concerning the measured partial width ratio
$Gamma(phi o K^+K^-)/Gamma(phi o K^0 ar{K}^0)$. Prospects for
improving the VMD based estimates of $a_mu$ are emphasized. | | Source: | arXiv, 1106.1315 | | Services: | Forum | Review | PDF | Favorites | |
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