Abstract
We study contributions coming to ΔmB from one or more universal extra dimensions (UED) in which all the Standard Model fields can propagate. In the model with a single UED, the box diagrams for mixing are convergent and therefore insensitive to the cut-off scale of the theory. In the case of two UEDs, the result is not very sensitive to the cut-off scale due to GIM mechanism. Within the present range of the parameters at 1σ level, the lower bound on the compactification scale 1/R has been estimated to be 165 GeV for one UED and 280 GeV for two UEDs. The bound increases drastically if one can have a better determination of the B meson decay constant fB and the QCD correction parameter BB. For example, it rises to 740 GeV (for one UED) if the error (at 1σ) in the determination of fBBB from quenched lattice calculation is reduced to one-third from its present value. The UED contributions to the K system are strongly suppressed.
Highlights
Within the present range of the parameters at 1σ level, the lower bound on the compactification scale 1/R has been estimated to be 165 GeV for one universal extra dimension (UED) and 280 GeV for two UEDs
In 4D effective theory, the existence of these extra dimensions are felt by the appearance of towers of heavy Kaluza-Klein (KK) states having masses quantised in units of the compactification scale 1/R
The key feature of UED models is the conservation of momentum in extra dimensions which leads to KK number conservation in the effective 4D theory
Summary
GeV (for one UED) if the error (at 1σ) in the determination of fB BB from quenched lattice calculation is reduced to one-third from its present value. The key feature of UED models is the conservation of momentum in extra dimensions which leads to KK number conservation in the effective 4D theory.
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