Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Leptonic Dirac CP Violation Predictions from Residual Discrete
  Symmetries   Assuming that the observed pattern of 3-neutrino mixing is related to the
existence of a (lepton) flavour symmetry, corresponding to a non-Abelian
discrete symmetry group $G_f$, and that $G_f$ is broken to specific residual
symmetries $G_e$ and $G_\nu$ of the charged lepton and neutrino mass terms, we
derive sum rules for the cosine of the Dirac phase $\delta$ of the neutrino
mixing matrix $U$. The residual symmetries considered are: i) $G_e = Z_2$ and
$G_{\nu} = Z_n$, $n > 2$ or $Z_n \times Z_m$, $n,m \geq 2$; ii) $G_e = Z_n$, $n
> 2$ or $Z_n \times Z_m$, $n,m \geq 2$ and $G_{\nu} = Z_2$; iii) $G_e = Z_2$
and $G_{\nu} = Z_2$; iv) $G_e$ is fully broken and $G_{\nu} = Z_n$, $n > 2$ or
$Z_n \times Z_m$, $n,m \geq 2$; and v) $G_e = Z_n$, $n > 2$ or $Z_n \times
Z_m$, $n,m \geq 2$ and $G_{\nu}$ is fully broken. For given $G_e$ and $G_\nu$,
the sum rules for $\cos\delta$ thus derived are exact, within the approach
employed, and are valid, in particular, for any $G_f$ containing $G_e$ and
$G_\nu$ as subgroups. We identify the cases when the value of $\cos\delta$
cannot be determined, or cannot be uniquely determined, without making
additional assumptions on unconstrained parameters. In a large class of cases
considered the value of $\cos\delta$ can be unambiguously predicted once the
flavour symmetry $G_f$ is fixed. We present predictions for $\cos\delta$ in
these cases for the flavour symmetry groups $G_f = S_4$, $A_4$, $T^\prime$ and
$A_5$, requiring that the measured values of the 3-neutrino mixing parameters
$\sin^2\theta_{12}$, $\sin^2\theta_{13}$ and $\sin^2\theta_{23}$, taking into
account their respective $3\sigma$ uncertainties, are successfully reproduced.

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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th