Constraints on Unparticle Interactions from Particle and Antiparticle Oscillations

TL;DR

This paper investigates how unparticles could influence meson-antimeson and muonium-antimuonium oscillations, deriving constraints on unparticle interactions and exploring their effects on mixing parameters and CP violation.

Contribution

It introduces the potential impact of unparticles on oscillation phenomena and derives new constraints based on experimental data, considering fractional unparticle dimensions.

Findings

Unparticle effects can significantly contribute to meson oscillations.

Constraints on unparticle interactions are very stringent.

Unparticle dominance could explain certain meson mixing parameters.

Abstract

We study unparticle effects on particle and antiparticle osillations in meson-antimeson, and muonium-antimuonium systems. Unlike usual tree level contributions to meson oscillations from heavy particle exchange with small $\Gamma_{12}$, the unparticle may have sizeable contributions to both $M_{12}$ and $\Gamma_{12}$ due to fractional dimension $d_\U$ of the unparticle. We find that very stringent constraints on the unparticle and particle interactions can be obtained. If unparticle effect dominates the contributions (which may happen in $D^0-\bar D^0$ mixing) to meson mixing parameters $x$ and $y$, we find that $x/y =\cot(\pi d_\U)$. Interesting constraints on unparticle and particle interactions can also be obtained using muonion and antimuonion oscillation data. We also comment on unparticle effects on CP violation in meson oscillations.