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Muon electric dipole moment induced by unparticles

VIII Latin American Symposium on High Energy Physics. Benemérita Universidad Autónoma de Puebla. Instituto de Física. Muon electric dipole moment induced by unparticles. Authors :. Agustín Moyotl Acuahuitl Alfonso Rosado Sánchez Gilberto Tavares Velasco.

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Muon electric dipole moment induced by unparticles

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  1. VIII Latin American Symposium on High Energy Physics Benemérita Universidad Autónoma de Puebla Instituto de Física Muon electric dipole moment induced by unparticles Authors: Agustín MoyotlAcuahuitl Alfonso Rosado Sánchez Gilberto Tavares Velasco December 9, 2010, Valparaíso, Chile

  2. contents Unparticle Physics (UP) overview Moun g-2 Unparticle contributions to af Constraints on UP parameters from muon g-2 Fermion electric dipole moment (EDM) Unparticle contributions to EDM Mathematical structure of UP parameters Conclusions VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  3. Unparticles overview Unparticle Physics★ The standard model does not have the property of scale invariance… But there could be a sector of the theory, as yet unseem, that is exactly scale invariant and very weakly interacting with the rest of the standard model… unparticles. Λ=Λplanck E.W. Scheme Λ=Λu Λ<MU nonrenormalizable couplings Λ=v Λ<Λu renormalizable couplings dimensional transmutation U(1)Y BZ SU(2)L G Λ<v ★H. Georgi, Phys. Rev. Lett. 98, 221601 (2007) VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  4. Unparticles overview Unparticle Physics★ Scalar-pseudoscalar The standard model does not have the property of scale invariance… But there could be a sector of the theory, as yet unseem, that is exactly scale invariant and very weakly interacting with the rest of the standard model… unparticles. Tensor Vector-Axial where Kingman Cheung, Wai-Yee Keung and Tzu-Chiang Yuan, Phys. Rev. D.76 055003 (2007) VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  5. Muong-2 The relevant interaction Lagrangian of the fermion Magnetic Dipole Moment al is given by The anomalous magnetic moment of a fermion l is related to the photon-lepton vertex functionΓμas follows: It is well known that between the experimental value and the SM prediction there is a small discrepancy The E821 Muon (g-2), Brookhaven National Laboratory, Phys. Rev. Lett. 92 (2004) 161802 VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  6. Unparticles contributions to af New contributions to af from unparticles are generated at the one-loop level. The results are where rfi=mf2/mi2 and the functions F are given by: Scalar-pseudoscalar  Vector-Axial from the chirality structure, η=+1(-1) for scalar and vector (pseudo scalar and axial) unparticles. Andi Hektor, Yuji Kajiyama and Kristjan Kannike, Phys. Rev. D78 053008 (2008) VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  7. Bounded UP parameters from muong-2 From the total contributions to af from unparticles we obtain a constraint on the λμik parameters given by a quadric equation of twelve dimensions 207.512 stands for the systematic and experimental errors of Δaμwith 2 standard deviations. Numerical evaluation shows thatαμek is undefined in the interval wheredUguarantees unitarity, Also; We can however project the quadric surface by requiring that λμek=0, thus the resulting constraint equation represents an eight dimensional hyperboloid hipervolume with parametric equations (Ω6 coshϑ, Ω2 sinhϑ), where: Ω6 and Ω2 represent a six and two dimensional ellipses. VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  8. Bounded UP parameters from muong-2 From the total contributions to af from unparticles Limit on Λu with λμμv=1 from monophoton production data of σ(e+e- γ + X)≈0.2 pb at LEP2(95% C.L.)✜ 1000 TeV 100 TeV 10 TeV 1 TeV ✜Kingman Cheung, Wai-Yee Keung and Tzu-Chiang Yuan, Phys. Rev. D.76 055003 (2007) VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  9. Bounded UP parameters from muong-2 αμμs αμτs αμμv αμτv αμμa αμμa VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  10. Bounded UP parameters from muong-2 but, what is the allowed interval for the hyperbolic angle ? VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  11. Muon electric dipole moment The presence of a non-zero df would mean that there are both parity and time-reversal violation. In a world with perfect CPT symmetry, a search for df would also be a direct test of CP symmetry The dipole magnetic moment of a fermion l is related to the T violating form factor F3(q2) term of the photon-lepton vertex functionΓμas follows: The experimental limit on the electric dipole moments [e-cm] with 95% C.L. and the theoretical standard model values are: J. Bailey et al., J. Phys. G 4, 345 (1978) VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  12. Unparticles contribution to EDM The presence of a non-zero df would therefore signify the existence of both parity and time-reversal violation. In a world with perfect CPT symmetry, a search for df would also be a direct test of CP symmetry Unparticle contribution to EDM is induced by interference of scalar (vector) and pseudo scalar (axial) operators: where J. Bailey et al., J. Phys. G 4, 345 (1978) VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  13. Unparticles contribution to EDM we used the parameterization of the hyperboloid (Ω6cosh ϑ, Ω2sinh ϑ) to correctly use the phenomenological bound of effective parameters discussed above, and we found: our prediction is well above the experimental bound! J. Bailey et al., J. Phys. G 4, 345 (1978) VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  14. Mathematical structure of UP parameters ✗ we will study another particular case all effective parameters are real numbers ✗ ✔ If ? J. Bailey et al., J. Phys. G 4, 345 (1978) VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  15. Mathematical structure of UP parameters There are other possibilities for the hyperbolic angle: λμip small and vanishing vector-axial contribution to EDM and λμipsmall and nonvanishing vector-axial contribution to EDM and and All effective parameters about the same order of magnitude VIII Latin American Symposium on High Energy Physics, Valparaíso, Chile, 6-12 December 2010

  16. Conclusions We find phenomenological bounds for some effective parameters (λμik) on framework of Unparticles Physics Model. The muon electric dipole moment(dμ) induced by unparticles operators show a complex structure of the coupling parameters. Therefore it reveals an new phases of CP violation. Since the muon electric dipole moment depends very much on the different phases of the effective parameters, it is more sensitive than the standard model approach. VIII Latin American Symposium on Higth Energy Physics, Valparaíso, Chile, 6-12 December 2010

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