On Unparticles and B\to X_s Missing Energy

TL;DR

This paper investigates the decay process $B o X_s$ plus missing energy within the unparticle framework, providing analytical calculations and numerical insights that highlight differences from Standard Model predictions, especially near the endpoint region.

Contribution

It presents the first analytical calculation of the inclusive $B o X_s$ decay width with unparticle missing energy using Heavy Quark Effective Theory, including differential decay rates up to order $1/m_b^2$.

Findings

Unparticle effects cause significant deviations from Standard Model predictions near the endpoint.

The decay width and differential rates are analytically derived in the free quark limit and including $1/m_b^2$ corrections.

Numerical results show distinctive behavior for $d_{ ext{U}}<2$ unparticles compared to Standard Model particles.

Abstract

We analyze the inclusive decay mode $B\to X_s+{\rm Missing Energy}$ in the unparticle model, where an unparticle can also serve as the missing energy. We use the Heavy Quark Effective Theory in the calculation. The analytical result of the decay width in the free quark limit and that of the differential decay rate to the order of $1/m_b^2$ are presented. Numerical results of the inclusive mode show interesting differences from those of the exclusive modes. Near the lower endpoint region, the $d_{\mathcal U}<2$ unparticle has very different behavior from the Standard Model particles.