Osamu YasudaTokyo Metropolitan UniversityModel independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL NEUTRINO FACTORY AND SUPERBEAM SCOPING STUDY MEETING26 April 2006 @RAL
Based on a work with Hiroaki Sugiyama (KEK) & Noriaki Kitazawa (TMU)Without referring to specific models, assuming the maximum values of the New Physics parameters which are currently allowed by all the experimental data, the values of oscillation probabilities are estimated for future long baseline experiments.
nanbffNP effects in propagation(NP matter effect)SMNPthe same f (f=e, u, d)potential due to CC intadditional potential Aeab
NP effects at source and detector (Charged Current)SMNP (source)NP (detector)
njpropagation in energy eigenstate energy eigenstate to flavor eigenstateflavor eigenstate to energy eigenstateSM+mnnanblbla
For simplicity, here we discuss the case where Us=Ud=1, i.e., NP exists only in propagation.For simplicity, well also neglect all complex phases.Present talk
Davidson et al (03): Constraints from various n experimentsn Our starting point: two constraints on eab
With some modifications:
Friedland-Lunardini (05): Constraints from atmospheric neutrinos95%CL99%CL3sCL
Large values, if any, come from, eee , eet , ett:
n Phenomenology with eee , eet , ett ~ O(1)~10MeV~a few 10GeVEnIn high energy limit (|DEjk |> A), reduces to vacuum oscillationanalytical resultIn between ( |DEjk |~ A ), analytical treatment is difficultnumerical result
- In low energy limit |DEjk |>> A (E< 10 MeV), it reduces to vacuum oscillations reactors have no sensitivity to NP (because AL
- In between 10 MeV
MINOS may see NP!MINOS (ne appearance)
T2K(K) (ne appearance)
SummaryThere is a chance that MINOS (nmgne), T2K(K) (nmgne), n factory (negnm, negnt) see a signal of NP which could be larger than what is expected from the CHOOZ limit on q13 in SM+mn.Assuming the maximum values of the NP parameters which are currently allowed by all the experimental data, the values of oscillation probabilities are estimated (taking into account NP in propagation only) for future long baseline experiments.
The probability to see the effects of New Physics depends both on the baseline and En, and combination of a reactor, T2K, NF is necessary to identify the source of the oscillation.
Future work (in progress)Inclusion of NP at source (Us) & detector (Ud) Us and Ud only change the magnitudes of P (the oscillation lengths are not modified). The best way to measure Us and Ud is to take the limit Lg0. For SB/BB, processes of production and detection are both hadronic, so Ud = Us SB/BB with Lg0 is useless. For NF, production process is leptonic while detection process is hadronic, so Ud m UsNF with Lg0 is useful!Analytical treatment of probabilities
At detector (hadronic) At source NF(leptonic)
In case of Nn=2 using Grossmans notation