Two loop radion correction to $K_L$ - $K_S$ mass difference in the stabilised Randall-Sundrum brane world scenario

Details Two loop radion correction to $K_L$ - $K_S$ mass difference in the stabilised Randall-Sundrum brane world scenario Two loop radion correction to $K_L$ - $K_S$ mass difference in the stabilised Randall-Sundrum brane world scenario

2001-05-08

arxiv.org/abs/hep-ph/0105068v3

Phys.Rev. D65 (2002) 056003

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 page Latex2e file including one postscript figure. Journal Ref: PRD 65, 056003 (2002)

Scientific paper

10.1103/PhysRevD.65.056003

In the stabilised Randall-Sundrum brane world scenario, the radion can have phenomenologically testable effects, which can be measured against precisely measured electroweak physics data. We investigate the effect of two loop radion corrections to $K_L$ - $K_S$ mass difference to set a bound on the radion mass and vacuum expectation value. It is found that the leading two loop corrections are of the order $[Log(\frac{\Lambda^2}{m_\phi^2}) ]^2$ where $\Lambda$ is the cut-off scale ${\cal O}(\sim$TeV) and $m_\phi$ is the radion mass.

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