Fermion localization in higher curvature and scalar–tensor theories of gravity

Mitra, Joydip (Department of Physics, Scottish Church College, 0000 0001 0664 9773, 1 and 3 Urquhart Square, 700006, Kolkata, India) ; Paul, Tanmoy (Department of Theoretical Physics, Indian Association for the Cultivation of Science, 0000 0001 1093 3582, 2A and 2B Raja S. C. Mullick Road, 700 032, Kolkata, India) ; SenGupta, Soumitra (Department of Theoretical Physics, Indian Association for the Cultivation of Science, 0000 0001 1093 3582, 2A and 2B Raja S. C. Mullick Road, 700 032, Kolkata, India)

07 December 2017

Abstract: It is well known that, in a braneworld model, the localization of fermions on a lower dimensional submanifold (say a TeV 3-brane) is governed by the gravity in the bulk, which also determines the corresponding phenomenology on the brane. Here we consider a five dimensional warped spacetime where the bulk geometry is governed by higher curvature like F ( R ) gravity. In such a scenario, we explore the role of higher curvature terms on the localization of bulk fermions which in turn determines the effective radion–fermion coupling on the brane. Our result reveals that, for appropriate choices of the higher curvature parameter, the profiles of the massless chiral modes of the fermions may get localized near the TeV brane, while those for massive Kaluza–Klein (KK) fermions localize towards the Planck brane. We also explore these features in the dual scalar–tensor model by appropriate transformations. The localization property turns out to be identical in the two models. This rules out the possibility of any signature of massive KK fermions in TeV scale collider experiments due to higher curvature gravity effects.


Published in: EPJC 77 (2017) 833
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-017-5420-6
License: CC-BY-3.0



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