Bounds on Unparticles Couplings to Electrons: from Electron g-2 to Positronium Decays

Abstract

Unparticles as suggested recently by Georgi have surprising phenomenological implications, distinctive from any other new physics that we know of. But they must interact very feebly with ordinary matter to have avoided detection thus far. We determine how feebly they can interact with the electron, using the precisely measured quantities in QED: the electron g-2 and the bounds on invisible and exotic positronium decays. The most stringent bound comes from invisible ortho-positronium decays: the effective energy scale entering the vector unparticle-electron interaction must exceed 4 x 10^5 TeV for a scaling dimension 3/2 of the vector unparticle. The lower bounds on scales for other unparticles range from a few tens to a few hundreds TeV. This makes the detection of unparticles challenging in low energy electron systems.

v1: 8 pages, 1 figure; v2: proofread version for PRD. (1) Added '(see also [4])' just before eq. (5). (2) Update ref list and change its format, change one PACS number. (3) Minor changes during the course of copyediting, like adding punctuation to eqs, changing hyphenation, etc

References in corpus (4)

• Unparticle Physics
• Another Odd Thing About Unparticle Physics
• Collider signals in unparticle physics
• An Improved Limit on Invisible Decays of Positronium

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