Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enhanced $\Gamma(p\to K^0\mu^+)/\Gamma(p\to K^+\bar{\nu}_\mu)$ as a
  Signature of Minimal Renormalizable SUSY $SO(10)$ GUT   The ratio of the partial widths of some dimension-5 proton decay modes can be
predicted without detailed knowledge of SUSY particle masses, and thus allows
us to experimentally test various SUSY GUT models without discovering SUSY
particles. In this paper, we study the ratio of the partial widths of the $p\to
K^0\mu^+$ and $p\to K^+\bar{\nu}_\mu$ decays in the minimal renormalizable SUSY
$SO(10)$ GUT, under only a plausible assumption that the 1st and 2nd generation
left-handed squarks are mass-degenerate. In the model, we expect that the
Wilson coefficients of dimension-5 operators responsible for these modes are on
the same order and that the ratio of $p\to K^0\mu^+$ and $p\to
K^+\bar{\nu}_\mu$ partial widths is $O(0.1)$. Hence, we may be able to detect
both $p\to K^0\mu^+$ and $p\to K^+\bar{\nu}_\mu$ decays at Hyper-Kamiokande,
thereby gaining a hint for the minimal renormalizable SUSY $SO(10)$ GUT.
Moreover, since this partial width ratio is quite suppressed in the minimal
$SU(5)$ GUT, it allows us to distinguish the minimal renormalizable SUSY
$SO(10)$ GUT from the minimal $SU(5)$ GUT. In the main body of the paper, we
perform a fitting of the quark and lepton masses and flavor mixings with the
Yukawa couplings of the minimal renormalizable $SO(10)$ GUT, and derive a
concrete prediction for the partial width ratio based on the fitting results.
We find that the partial width ratio generally varies in the range 0.05-0.6,
confirming the above expectation.

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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: math
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph