Inflation and longrange force from a clockwork D term
Abstract
Cosmic inflation driven by the vacuum energy associated with the D term of a supersymmetric Abelian gauge group and a possible existence of longrange force mediated by an ultralight gauge boson Z^{′} are two extreme examples of models based on extra U (1 ) symmetries. Large vacuum energy sets the scale of inflation while the scales of longrange forces induced by anomaly free extra gauged U (1 ) symmetries are constrained by neutrino oscillations, binary pulsar timings, and invisible neutrino decay. There exists a difference of about 40 orders of magnitude between the scales of these two. Also, gauge couplings associated with the longrange forces are very small compared to the standard model couplings and the one required for inflation. We propose a framework based on clockwork mechanism in which these vastly different scales and associated new physics can coexist without invoking any arbitrarily small or large parameter in the fundamental theory. A chain of U (1 ) is introduced with characteristic nearestneighbor interactions. A large D term introduced at one end governs the dynamics of inflation. Z^{′} is localized on the other end of the chain, and it can be massless or can get naturally suppressed mass. The standard model fields can be charged under one of the intermediate U (1 )s in the chain to give rise to their small effective coupling g^{′} with Z^{′}. Constraints on g^{′} and M_{Z′} are discussed in the context of the longrange forces of type L_{μ}L_{τ}, L_{e}L_{μ}, and B L . These, along with the inflation observables, are used to constraint the parameters of the underlying clockwork model.
 Publication:

Physical Review D
 Pub Date:
 February 2021
 DOI:
 10.1103/PhysRevD.103.035008
 arXiv:
 arXiv:2008.13334
 Bibcode:
 2021PhRvD.103c5008J
 Keywords:

 High Energy Physics  Phenomenology;
 General Relativity and Quantum Cosmology
 EPrint:
 22 pages, 6 captioned figures