Propagation of Supersymmetric Charged Slepton at High Energies

1. Propagation of Supersymmetric Charged Slepton at High Energies Shufang Su • U. of Arizona M.H. Reno, I. Sarcevic and S. Su hep-ph/0503030

2. Msl=250 GeV Mwino=250 GeV  earth   ~ ~     earth N ~ l ~ q ~ ~   Motivation - Neutrino telescopes have great potential to probe new physics beyond SM Gravitino LSP Stau NLSP Albuquerque, Chacko and Burdman (2003) Larger production rate smaller production rate  = 2.197£ 10-6 sec c=659 meter Larger effective detector volumn stau propagation

3. stau energy loss - • Discovery potential for neutrino telescope depends on the stau lifetime and range • Crucial to determine the energy loss of the high energy stau as it traverse the earth stau propagation

4. energy ionization energy loss Constant: =2 £ 10-3 cm2/g radiative energy loss m,  , more later … c = E / () stau energy loss - Average energy loss of a particle traversing distance X WhenE ¿, i.e. E ¿ 4 £ 105 GeV £ (msl/150 GeV) Stau range determined by ionization energy loss or lifetime c stau propagation

5. radiative energy loss:  - • photonuclear • bremsstrahlung • pair production stau propagation

6. muon Stau: mass dependence / 1/m radiative energy loss:  - Stau / 1/m2 stau propagation

7. E ¿ m=250 GeV m=150 GeV E À E0=106 GeV stau range: X(E, E0) - m=250 GeV lifetime lifetime m=250 GeV m=150 GeV m=150 GeV E0=103 GeV stau propagation

8. Xus / XABC Comparison - • InAlbuquerque, Chacko and Burdman (2003) • Rescale from: •  = 0.8 £ 10-6 cm2/g •  • stau=9.5 £ 10-9 (150 GeV/mstau) cm2/g • No energy dependence ? Improve the potential of neutrino telescopes for detecting metastable stau stau propagation

9. Conclusion - • Stau radiative energy loss  is dominated by photo-nuclear and pair production • Photonuclear and pair: / 1/m • Bremsstrahlung: / 1/m2 • Low energy ( E ¿), stau range is determined by ionization energy loss or stau lifetime, X / E • High energy ( E À), stau range is determined by radiative energy loss, X / log (E) • Previous estimation (scale stau) underestimate stau range by about a factor of two stau propagation