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Bounds on Quantum Gravity from Proton Lifetime Limits

Explore the limits on quantum gravity through proton lifetime constraints, quark proximity probabilities, and decoherence effects induced by gravity in the electroweak sector. Investigate the connection between spacetime foam at TeV scales and fundamental Planck length considerations.

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Bounds on Quantum Gravity from Proton Lifetime Limits

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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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