Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Higgs-Graviton Couplings: from Amplitudes to the Action   In this paper we study the coupling of scalar (Higgs) particles ($\phi$) with
gravitons ($h$) and their possible effects. The general form of the 3-point
interaction $\phi(p) h(1)h(2)$ can be derived using the scaling behavior of the
spinor variables under the little group; the resulting vertices exhibit such
simplicity, that some simplifications should be hidden in the expressions
obtained from the extended scalar action. To investigate this, we study an
extended Einstein-Hilbert action that besides the minimal coupling, it also
includes terms of the form $\phi R^2$, $\phi R^{\mu\nu} R_{\mu\nu}$ and $\phi
R^{\mu\nu\rho\sigma} R_{\mu\nu\rho\sigma}$, as well as the term
$\epsilon_{\mu\nu \alpha\beta} \phi_5 R^{\mu\nu}_{\rho\sigma}
R^{\alpha\beta\rho\sigma}$ for the case of a pseudo-scalar ($\phi_5$). The
resulting vertices satisfy KLT-type relations, i.e., they can be written as the
square of the coupling of the Higgs with gluons. We find that the amplitude for
the Higgs decay into a pair of gravitons (on-shell) only receives a
contribution coming from the square of the Riemann tensor. Similar results are
obtained for the 3-body decay $\phi \to h h^* (\to XX)$, with an off-shell
graviton ($h^*$) that goes into the final state $XX$. One could expect that
these quadratic terms can produce new loop effects, however we find that the
new contribution from this non-minimal coupling to the graviton self-energy,
also vanishes for on-shell gravitons.

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The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
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The categories of this paper are: eess
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
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The categories of this paper are: stat