Effects of non-minimal Universal Extra Dimension on $B\rightarrow X_s\gamma$

TL;DR

This paper investigates how non-minimal Universal Extra Dimensions affect the $B\rightarrow X_s\gamma$ decay, constraining the size of extra dimensions and boundary terms using experimental data and higher-order QCD corrections.

Contribution

It provides the first estimation of $B\rightarrow X_s\gamma$ decay in non-minimal Universal Extra Dimensions including boundary localized terms and derives bounds on the model parameters.

Findings

Lower limit on inverse radius $R^{-1}$ as large as 670 GeV.

Constraints on boundary localized term coefficients.

Compatibility with experimental branching ratio measurements.

Abstract

We estimate contributions from Kaluza-Klein excitations of third generation quarks and gauge bosons to the branching ratio of $B\rightarrow X_s\gamma$ decay process in 5-Dimensional Universal Extra Dimensional scenario with non-vanishing boundary localised terms. This model is conventionally known as non-minimal Universal Extra Dimensional model. We have derived the lower limit on the size of the extra dimension by comparing our theoretical estimation of the branching ratio which includes next-to-next-to leading order QCD corrections with its experimentally measured value. Coefficients of the boundary localised terms have also been constrained. 95 \% C.L. lower limit on inverse of radius of compactification ($R^{-1}$) can be as large as 670 GeV for some choice of the value of coefficients of boundary localised terms.