Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-08-24
Eur.Phys.J.C55:483-488,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
v1:12 pages, 2 figures; v2: to appear in EPJC. Title changed, very minor rewording in text, ref updated, now in EPJC format
Scientific paper
10.1140/epjc/s10052-008-0601-y
Unparticles charged under a gauge group can contribute to the running of the gauge coupling. We show that a scalar unparticle of scaling dimension d contributes to the \beta function a term that is (2-d) times that from a scalar particle in the same representation. This result has important implications on asymptotic freedom. An unparticle with d>2, in contrast to its matter counterpart, can speed up the approach to asymptotic freedom for a non-Abelian gauge theory and has the tendency to make an Abelian theory also asymptotically free. For not spoiling the excellent agreement of the standard model (SM) with precision tests, the infrared cut-off, m, of such an unparticle would be high but might still be reachable at colliders such as LHC and ILC. Furthermore, if the unparticle scale \Lambda_\calU is high enough, unparticles could significantly modify the unification pattern of the SM gauge couplings. For instance, with 3 scalar unparticles of d\sim 2.5 in the adjoint representation of the strong gauge group but neutral under the electroweak one, the three gauge couplings would unify at a scale of \sim 8\times 10^{12} {\rm GeV}, which is several orders of magnitude below the supersymmetric unification scale.
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