Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isospin-breaking corrections to $\tau^- \to \pi^- \pi^0 \nu_\tau$ decays
  and the muon $g-2$   We review the isospin-breaking and electromagnetic corrections to the $\tau^-
\to \pi^- \pi^0 \nu_\tau$ decays, which are used as an input to the two-pion
contributions to the hadronic vacuum polarization (at LO) of the anomalous
magnetic moment ($a_\mu$). We extend previous analyses by Cirigliano et al.
working with ChPT with resonances. As an outcome, we improve the agreement
between this determination and the other based on $e^+e^-$ data. The new
results are in better agreement with an old estimation that uses Vector
Dominance Model (VMD), and the discrepancy between the SM prediction and the
combined results from BNL and FNAL is reduced to $2.1\,\sigma$ at
$\mathcal{O}(p^4)$ and $2.3\sigma$ at $\mathcal{O}(p^6)$.

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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math