Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A BHLS model based moment analysis of muon g-2, and its use for lattice
  QCD evaluations of $a_\mu^{\rm had}$   We present an up-to-date analysis of muon $g-2$ evaluations in terms of
Mellin-Barnes moments as they might be useful for lattice QCD calculations of
$a_\mu$. The moments up to 4th order are evaluated directly in terms of
$e^+e^-$--annihilation data and improved within the Hidden Local Symmetry (HLS)
Model, supplied with appropriate symmetry breaking mechanisms. The model
provides a reliable Effective Lagrangian (BHLS) estimate of the two-body
channels plus the $\pi\pi\pi$ channel up to 1.05~GeV, just including the $\phi$
resonance. The HLS piece accounts for 80\% of the contribution to $a_\mu$. The
missing pieces are evaluated in the standard way directly in terms of the data.
We find that the moment expansion converges well in terms of a few moments. The
two types of moments which show up in the Mellin-Barnes representation are
calculated in terms of hadronic cross--section data in the timelike region and
in terms of the hadronic vacuum polarization (HVP) function in the spacelike
region which is accessible to lattice QCD (LQCD). In the Euclidean the first
type of moments are the usual Taylor coefficients of the HVP and we show that
the second type of moments may be obtained as integrals over the appropriately
Taylor truncated HVP function. Specific results for the isovector part of
$a_\mu^{\rm had}$ are determined by means of HLS model predictions in close
relation to $\tau$--decay spectra.

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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg