Claudio Coriano, Luigi Delle Rose, Antonio Quintavalle, Mirko Serino
We show that the dilatation current ($J_D$) of the Standard Model inherits from the energy momentum tensor ($T$) of the theory an anomaly pole in each gauge invariant sector of the $J_D VV$ correlator, with $V$ denoting a photon, a $Z$ gauge boson or a gluon. The pole describes an effective dilaton, here interpreted as a composite degree of freedom, in analogy to the case of the pion pole in the chiral anomaly diagram, which can be searched for at the LHC. For this purpose we extend a former analysis of the $TVV$ vertex, previously studied by us both in QCD and in the full electroweak theory, to extract the interactions of such a state. The electroweak corrections to the vertices of the off-shell effective action involving a dilaton $(\rho)$ and two photons, two gluons, a photon and a $Z$ and two $Z$ gauge bosons are given, together with their renormalization properties. We also outline the computation of the cubic corrections to dilaton interactions, discussing its couplings mediated by virtual scalar, fermion and spin 1 sectors, expanding on a previous analysis of the $TTT$ (3-graviton) vertex.
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http://arxiv.org/abs/1206.0590
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