Abstract
In this paper we present an augmented version of the Abelian scalar clockwork model to generate geometrically suppressed vacuum expectation values (vev) of the pseudo Nambu-Goldstone bosons, that we call the clockworked vevs. We briefly comment on generalization of the setup and possible 5D UV realizations. We demonstrate how tiny neutrino mass can be generated by clockworking a weak scale vev.
Highlights
PNGB scalar and the scales involved in the Lagrangian can be obtained using the geometric suppression arising from clockwork mechanism, without introducing any substantial finetuning in the underlying theory
We show that this remnant flat direction in the original clockwork potential can be lifted by addition of a soft breaking potential at any particular site such that, it ensures a vev for the pNGB at that site
The scalar clockwork setup comprises of N + 1 sites in a theory space, each endowed with a global U(1) symmetry spontaneously broken to its discrete subgroup Z2 at some scale f
Summary
The scalar clockwork setup comprises of N + 1 sites in a theory space, each endowed with a global U(1) symmetry spontaneously broken to its discrete subgroup Z2 at some scale f. In addition there are terms which simultaneously break this set of U(1)N+1 global symmetries explicitly to a single remnant U(1). Out of total (N + 1) NGBs, only one remains massless while the other modes develop non-trivial tree level masses proportional to the strength of explicit breaking term. This shows that the massless eigenstate (a0 = Oj0πj) is hierarchically localized at the different sites with a weight factor 1/qj, which for large values of j can give rise to an exponential suppression. This observation leads to the clockwork effect
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
