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Spacetime foam at TeV

Spacetime foam at TeV. Luis Anchordoqui University of Wisconsin-Milwaukee. Bounds on Quantum Gravity from limits on proton lifetime. Probability of 2 bound quarks being within of one another. Proton size. Fundamental Planck length.

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Spacetime foam at TeV

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  1. Spacetime foam at TeV Luis Anchordoqui University of Wisconsin-Milwaukee

  2. Bounds on Quantum Gravity from limits on proton lifetime Probability of 2 bound quarks being within of one another Proton size Fundamental Planck length Probability that 2 quarks pass within within Heisenberg uncertainty lifetime of a black hole Lower limit on proton lifetime Super- Kamiokande Collaboration, Phys. Rev. Lett. 83 (1999) 1529 Adams, Kane, Mbonye & Perry, Int. J. Mod. Phys. A 16 (2001) 2399

  3. Split fermions Arkani –Hamed & Schmaltz, Phys. Rev. D 61 (2000) 033005

  4. Gravity-induced decoherence in the electroweak sector Consider two neutrino generations Basis of mass eigenstates and with masses and Flavor eigenstates and represented by 2 x 2 matrices Interactions with foamy reservoir described by generalized Liouville equation Dissipative operator

  5. Gravity-induced decoherence in the electroweak sector Using the identity and the Pauli matrices • Energy conservation • Complete positivity • Increase of the von-Neumann entropy • Dissipation as perturbation on standard oscillations Decoherence effects vanish in the weak gravitional limit

  6. Gravity-induced decoherence in the electroweak sector Initial condition

  7. Bounds on quantum decoherence from Super-Kamiokande data zenith angle distribution shows deficit of upward-going muon neutrinos well explain byoscillations Super Kamiokande Collaboration, Phys. Rev. Lett. 81 (1998) 1562 best fit oscillations + decoherence @ 90 % CL Lisi, Marrone & Montanino Phys. Rev. Lett. 85 (2000) 1166

  8. Bounds on quantum decoherence from Super-Kamiokande data @ 90 % CL Naturalness expectation Lower limit on the UV cutoff well beyond the electroweak scale

  9. Bounds on quantum decoherence from CCFR detector CCFR/NuTeV Collaboration Phys. Rev. D 59 (1999) 031101 Phys. Rev. Lett. 78 (1997) 2912 @ 99% CL Gago, Santos, Tevez & Zukanovich Funchal, Phys. Rev. D 63 (2001) 073001 Bounds on quantum decoherence in the quark sector Persistence of coherence in oscillations @ 90% CL Ellis , Hagelin, Nanopoulos & Srednicki. Nucl. Phys. B 241 (1984) 381

  10. Conclusions If M QG = 1 TeV interactions with virtual black holes non dissipative Non-disipative interactions gravity embedded in String Theory - S-matrix description B-violating ql and B-conserving qq outgoing channels may not have same probability Future prospects 90% (99%) CL LAA, Goldberg, Gonzalez García, Halzen, Hooper, Sarker & Weiler Phys. Rev. D 72 (2005) 065019

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