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Rare Decays in Theories with LGS

This presentation discusses gravitational decays and problems in theories with large extra dimensions (LGS), focusing on the classical black hole conjecture as a possible solution. The implications of LGS theories on proton decay and other (semi)-leptonic processes are also explored. The talk concludes with a summary of the findings and possible phenomenology accessible in future experiments.

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Rare Decays in Theories with LGS

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  1. Rare Decays in Theories with LGS Cosimo Bambi Wayne State University Search for B and L Number Violations, Berkeley, 22 September 2007 Based on the paper: C. Bambi, A.D. Dolgov and K. Freese, NPB 763, 91 (2007) [arXiv:hep-ph/0606321]

  2. Outline Gravitational Decays Problems in Theories with LGS Possible Solution: Classical BH Conjecture Phenomenology Berkeley, 22 September 2007 2

  3. Gravitational Decays Classical BHs violate global charges Virtual BHs can mediate proton decay (Zeldovich, 1976) Berkeley, 22 September 2007 3

  4. Theories with LGS ADD model Strong gravity at short (sub-mm?) distances QG effects in particle physics Berkeley, 22 September 2007 4

  5. p-decay in Theories with LGS Too fast proton decay!!! Solution: i) No LGS: (Adams et al., 2001) ii) New suppression mechanism Berkeley, 22 September 2007 5

  6. Classical BH Conjecture Classical BHs cannot have arbitrary large electric charge and angular momentum If MBH << MPl, BH must be neutral and have 0 spin Conjecture: virtual BHs satisfy this condition Berkeley, 22 September 2007 6

  7. Assumptions BH coupling to 2 or 4 particles is found from dimension arguments (probability of 2 or 4 particles to be inside BH horizon): BHs propagate only forward in time, no anti-BHs (Breaking of LI). No Et  1. For example, BHs cannot be in the t-channel of a reaction Berkeley, 22 September 2007 7

  8. Comments In absence of any quantum theory of gravity, this is the simplest possibility Predictions are numerous and close to existing bounds Breaking of LI and of standard QFT rules is discussed in numerous literature Berkeley, 22 September 2007 8

  9. Phenomenology Berkeley, 22 September 2007 9

  10. Muon decay Berkeley, 22 September 2007 10

  11. Other (Semi)-Leptonic Processes As above BR < 10-11 (BRExp < 10-7 – 10-6) Strongly suppressed Berkeley, 22 September 2007 11

  12. K–meson decay (1) Berkeley, 22 September 2007 12

  13. K–meson decay (2) If BHs are scalars and not pseudo-scalars (i.e. BHs have the quantum numbers of vacuum), 2 body decays are suppressed and not dangerous Berkeley, 22 September 2007 13

  14. Scalar BHs – Summary Berkeley, 22 September 2007 14

  15. Proton Decay Berkeley, 22 September 2007 15

  16. Neutron–Antineutron Oscillation Experimental bound: Berkeley, 22 September 2007 16

  17. Neutron–Antineutron Oscillation(SUSY Extension) Berkeley, 22 September 2007 17

  18. Heavy Quark Decays • t-quark may not be the best candidate • B-mesons more promising Berkeley, 22 September 2007 18

  19. Summary Berkeley, 22 September 2007 19

  20. Conclusions Classical BH Conjecture: simple (but very speculative) solution to dangerous gravitationally induced decays in particle physics Rich phenomenology, possibly accessible in near future experiments Berkeley, 22 September 2007 20

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