Ultraviolet sensitivity of rare decays in nonuniversal extra dimensional models

Paramita Dey, Gautam Bhattacharyya
2004 Physical Review D  
We consider a nonuniversal five dimensional model in which fermions are localised on a four dimensional brane, while gauge bosons and a scalar doublet can travel in the bulk. As a result of KK number non-conservation at the brane-bulk intersection, the ultraviolet divergence does not cancel out in some physical observables. For example, the B_d → l^+l^- decay amplitude is linearly divergent, while B--B̅ mixing amplitude is log divergent. We attempt to identify the exact source of this
more » ... lizability. We compare and contrast our results with those obtained in the universal five dimensional model where all particles travel in the extra dimension.
doi:10.1103/physrevd.69.076009 fatcat:cug2jgk3xncglkcrai5yl6ofpq