Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Standard Model with spontaneously broken quantum scale invariance   We explore the possibility that scale symmetry is a quantum symmetry that is
broken only spontaneously and apply this idea to the Standard Model (SM). We
compute the quantum corrections to the potential of the higgs field ($\phi$) in
the classically scale invariant version of the SM ($m_\phi=0$ at tree level)
extended by the dilaton ($\sigma$). The tree-level potential of $\phi$ and
$\sigma$, dictated by scale invariance, may contain non-polynomial effective
operators, e.g. $\phi^6/\sigma^2$, $\phi^8/\sigma^4$, $\phi^{10}/\sigma^6$,
etc. The one-loop scalar potential is scale invariant, since the loop
calculations manifestly preserve the scale symmetry, with the DR subtraction
scale $\mu$ generated spontaneously by the dilaton vev
$\mu\sim\langle\sigma\rangle$. The Callan-Symanzik equation of the potential is
verified in the presence of the gauge, Yukawa and the non-polynomial operators.
The couplings of the non-polynomial operators have non-zero beta functions that
we can actually compute from the quantum potential. At the quantum level the
higgs mass is protected by spontaneously broken scale symmetry, even though the
theory is non-renormalizable. We compare the one-loop potential to its
counterpart computed in the "traditional" DR scheme that breaks scale symmetry
explicitly ($\mu=$constant) in the presence at the tree level of the
non-polynomial operators.

28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
16
The categories of this paper are: stat
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The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg