×

zbMATH — the first resource for mathematics

Dilaton interactions and the anomalous breaking of scale invariance of the standard model. (English) Zbl 1342.81235
Summary: We discuss the main features of dilaton interactions for fundamental and effective dilaton fields. In particular, we elaborate on the various ways in which dilatons can couple to the Standard Model and on the role played by the conformal anomaly as a way to characterize their interactions. In the case of a dilaton derived from a metric compactification (graviscalar), we present the structure of the radiative corrections to its decay into two photons, a photon and a Z, two Z gauge bosons and two gluons, together with their renormalization properties. We prove that, in the electroweak sector, the renormalization of the theory is guaranteed only if the Higgs is conformally coupled. For such a dilaton, its coupling to the trace anomaly is quite general, and determines, for instance, an enhancement of its decay rates into two photons and two gluons. We then turn our attention to theories containing a non-gravitational (effective) dilaton, which, in our perturbative analysis, manifests as a pseudo-Nambu Goldstone mode of the dilatation current (JD). The infrared coupling of such a state to the two-photons and to the two-gluons sector, and the corresponding anomaly enhancements of its decay rates in these channels, is critically analyzed.

MSC:
81T10 Model quantum field theories
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Han, T.; Lykken, JD; Zhang, R-J, On Kaluza-Klein states from large extra dimensions, Phys. Rev., D 59, 105006, (1999)
[2] Giudice, GF; Rattazzi, R.; Wells, JD, Graviscalars from higher dimensional metrics and curvature Higgs mixing, Nucl. Phys., B 595, 250, (2001) · Zbl 0972.83065
[3] Corianò, C.; Delle Rose, L.; Serino, M., Gravity and the neutral currents: effective interactions from the trace anomaly, Phys. Rev., D 83, 125028, (2011)
[4] Giannotti, M.; Mottola, E., The trace anomaly and massless scalar degrees of freedom in gravity, Phys. Rev., D 79, 045014, (2009)
[5] Armillis, R.; Corianò, C.; Delle Rose, L., Conformal anomalies and the gravitational effective action: the TJJ correlator for a Dirac fermion, Phys. Rev., D 81, 085001, (2010)
[6] Knecht, M.; Peris, S.; Perrottet, M.; Rafael, E., New nonrenormalization theorems for anomalous three point functions, JHEP, 03, 035, (2004)
[7] Jegerlehner, F.; Tarasov, O., Explicit results for the anomalous three point function and non-renormalization theorems, Phys. Lett., B 639, 299, (2006)
[8] Armillis, R.; Corianò, C.; Delle Rose, L.; Guzzi, M., Anomalous U(1) models in four and five dimensions and their anomaly poles, JHEP, 12, 029, (2009)
[9] Horejsi, J.; Schnabl, M., Dispersive derivation of the trace anomaly, Z. Phys., C 76, 561, (1997)
[10] Armillis, R.; Corianò, C.; Delle Rose, L., Trace anomaly, massless scalars and the gravitational coupling of QCD, Phys. Rev., D 82, 064023, (2010)
[11] Goldberger, WD; Grinstein, B.; Skiba, W., Distinguishing the Higgs boson from the Dilaton at the large hadron collider, Phys. Rev. Lett., 100, 111802, (2008)
[12] Denner, A., Techniques for calculation of electroweak radiative corrections at the one loop level and results for W physics at LEP-200, Fortsch. Phys., 41, 307, (1993)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.