Gauged U(1)U(1) Clockwork Theory

We consider the gauged $U(1)$ clockwork theory with a product of multiple gauge groups and discuss the continuum limit of the theory to a massless gauged $U(1)$ with linear dilaton background in five dimensions. The localization of the lightest state of gauge fields on a site in the theory space naturally leads to exponentially small effective couplings of external matter fields localized away from the site. We discuss the implications of our general discussion with some examples, such as mediators of dark matter interactions, flavor-changing $B$-meson decays as well as D-term SUSY breaking.Comment: 22 pages, 2 figures, Expanded discussion on dark matter mediator, To be published in Physics Letters

Softness of Supersymmetry Breaking on the Orbifold T2/Z2T^2/Z_2

We consider supersymmetry breaking due to a Scherk-Schwarz twist or localized mass terms in 6d ${\cal N}=1$ supersymmetric gauge theory compactified on the orbifold $T^2/Z_2$. We show that the Scherk-Schwarz breaking in 6d is equivalent to the localized breaking with mass terms along the lines in extra dimensions. In the presence of the considered supersymmetry breaking, we find that there arises a finite one-loop mass correction to a brane scalar due to the KK modes of bulk gauge fields.Comment: JHEP style file of 16 pages, no figures, published versio

Gauge Coupling Unification in a 6D SO(10) Orbifold GUT

We consider the gauge coupling running in a six-dimensional SO(10) orbifold GUT model. The bulk gauge symmetry is broken down to the standard model gauge group with an extra U(1)_X by orbifold boundary conditions and the extra U(1)_X is further broken through the U(1)_{B-L} breaking with bulk hyper multiplets. We obtain the corrections of Kaluza-Klein massive modes to the running of the gauge couplings and discuss their implication to the successful gauge coupling unification.Comment: 10 pages, 2 figures, version to appear in Physics Letters