Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-loop analysis of classically scale-invariant models with extended
  Higgs sectors   We present the first explicit calculation of leading two-loop corrections to
the Higgs trilinear coupling $\lambda_{hhh}$ in models with classical scale
invariance (CSI), using the effective-potential approximation. Furthermore, we
also study -- for the first time at two loops -- the relation that appears
between the masses of all states in CSI theories, due to the requirement of
reproducing correctly the 125-GeV Higgs-boson mass. In addition to obtaining
analytic results for general CSI models, we consider two particular examples of
Beyond-the-Standard-Model theories with extended Higgs sectors, namely an
$N$-scalar model (endowed with a global $O(N)$ symmetry) and a CSI version of
the Two-Higgs-Doublet Model, and we perform detailed numerical studies of these
scenarios. While at one loop the value of the Higgs trilinear coupling is
identical in all CSI models, and deviates by approximately $82\%$ from the
(one-loop) SM prediction, we find that the inclusion of two-loop corrections
lifts this universality and allows distinguishing different BSM scenarios with
CSI. Taking into account constraints from perturbative unitarity and the
relation among masses, we find for both types of scenarios we consider that at
two loops $\lambda_{hhh}$ deviates from its SM prediction by $100\pm10\%$ --
i.e. a quite significant further deviation with respect to the one-loop result
of $\sim 82\%$.

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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th