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GAUGE MODEL OF UNPARTICLES Discovering the Unexpected. Gennady A. Kozlov Bogolyubov Laboratory of Theoretical Physics JINR, Dubna. Mediators, M. SM, m. CFT, m=0. The very high energy theory contains the fields of the SM and Banks-Zaks fields of a theory with a nontrivial IR fixed point.
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GAUGE MODEL OF UNPARTICLESDiscovering the Unexpected Gennady A. Kozlov Bogolyubov Laboratory of Theoretical Physics JINR, Dubna
Mediators, M SM, m CFT, m=0 GA Kozlov
The very high energy theory contains the fields of the SM and Banks-Zaks fields of a theory with a nontrivial IR fixed point. GA Kozlov
CONFORMAL INVARIANCE At the quantum level, dimensionless couplings depend on scale: renormalization group evolution QEDQCD are not conformal theories g g Q Q GA Kozlov
g Q GA Kozlov
CONFORMAL Symmetry Breaking & High energy scale g Q LU M • Unparticle physics is only possible in the conformal window • Width of this window depends on 3 characteristic scales: -Hidden sector couples at M • Conformal - EWSB CSB at GA Kozlov
UNPARTICLE PHASE SPACE • The density of unparticle final states is the spectral density • Scale invariance • This is similar to the phase space for n massless particles: • “Unparticle” with dU = 1 is a massless particle. “Unparticles” with some other dimension dU look like a non-integral number dU of massless particles Georgi (2007) GA Kozlov
TOP-quark DECAY Georgi (2007) • For dU 1, recover 2-body decay kinematics, monoenergetic u- jet. • For dU > 1, however, get continuum of energies; unparticle does not have a definite mass Consider t u U decay through GA Kozlov
TOP-quark DECAY Georgi (2007) • For dU 1, recover 2-body decay kinematics, monoenergetic u- jet. • For 2>dU > 1, however, get continuum of energies; unparticle does not have a definite mass Consider t u U decay through GA Kozlov
3 POINT COUPLINGS • E.g., LHC: gg O O O gggg • Rate controlled by value of the (strong) coupling, constrained only by experiment • Many possibilities: ggZZ, ggee, ggmm, … Photon pT 3-point coupling is determined, up to a constant, by conformal invariance: GA Kozlov
UNPARTICLE INTERACTIONS • Interactions depend on the dimension of the unparticle operator and whether it is scalar, vector, tensor, … • Super-renormalizable couplings: Most important (model will follow) GA Kozlov
SUMMARY. For experimentalists Unparticles:conformal energy window implies high energy colliders are the most useful machines Real unparticle production missing energy As for of the SM particles is concerned, - staff production looks the same as production of massless particles Multi-unparticle production spectacular signals Virtual unparticle production rare processes Unparticles:Quite distinguishable from other HE physics through own specific kinematic properties GA Kozlov