Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions...
-
Upload
alisha-collins -
Category
Documents
-
view
226 -
download
0
Transcript of Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions...
![Page 1: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/1.jpg)
Osamu Yasuda
Tokyo Metropolitan University
Model independent analysis of New Physics interactions and implications
for long baseline experiments
INTERNATIONAL NEUTRINO FACTORY AND SUPERBEAM SCOPING STUDY MEETING
26 April 2006 @RAL
![Page 2: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/2.jpg)
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.
![Page 3: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/3.jpg)
ff
NP effects in propagation (NP matter
effect)
SM NP
the same f (f=e, u, d)potential due to CC int
additional poten
tial A
![Page 4: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/4.jpg)
l
f’f
NP effects at source and detector
(Charged Current)
SM
s
s
s
d
d
d
NP (source)
NP (detector)
![Page 5: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/5.jpg)
j
propagation in energy eigenstate
energy eigenstate to flavor eigenstate
flavor eigenstate to energy eigenstate
SM+m
ll
f f’ F F’
![Page 6: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/6.jpg)
NP
l
j
l
f f’ F F’
![Page 7: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/7.jpg)
For simplicity, here we discuss the case where
Us=Ud=1, i.e., NP exists only in propagation.
For simplicity, we’ll also neglect all complex phases.
11
Present talk
![Page 8: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/8.jpg)
①Davidson et al (’03): Constraints from
various experiments
Our starting point: two constraints on
![Page 9: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/9.jpg)
With some modifications:
②Friedland-Lunardini (’05): Constraints from atmospheric neutrinos
95%CL
99%CL
3CL
![Page 10: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/10.jpg)
: Points used as reference
values
εε
εε 0
0000~
e
eee
Large values, if any, come from, ee , e , :
23232
23 104105.2 eVmeV
0.12sin9.023
2
![Page 11: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/11.jpg)
Phenomenology with ee , e , ~ O(1)
~10MeV ~a few 10GeV
E
In high energy limit (|Ejk |<< A), it reduces to N=2 case analytical result
In low energy limit (|Ejk |>> A), reduces to vacuum oscillation analytical result
In between ( |Ejk |~ A ), analytical treatment is difficult numerical result
E
mE
jkjk 2
2
![Page 12: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/12.jpg)
In high energy limit |Ejk |<< A (E>a few 10 GeV), i
t reduces to N=2 case:
if this factor~1, Pe~ O(1) !!
AL/2~ L/4000km
![Page 13: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/13.jpg)
In low energy limit |Ejk |>> A (E< 10 MeV), it r
educes to vacuum oscillations reactors have no sensitivity to NP (because AL<<1)
(reactor)
indistinguishable
![Page 14: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/14.jpg)
In between 10 MeV <E< a few 10 GeV ( |Ejk |~
A ), analytical treatment is difficult. numerically calculated
MINOS (e) (L=730km, 0<E<25GeV)
T2K(K) (e) (L=295km, 0<E<1GeV)
(L=1050km, 0<E<5GeV) factory (e,e)
(L=3000km, 0<E<50GeV) (L=730km, 0<E<25GeV)
Plot for SM+m has 30% uncertainty because
0.9<sin2223<1.0. Nevertheless NP effects can be distin
guishable even with this uncertainty, except for T2K.
NB ,223s
goldenP
,223c
silverP
![Page 15: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/15.jpg)
MINOS may see NP!MINOS (e appearance)
![Page 16: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/16.jpg)
T2K(K) (e appearance)
![Page 17: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/17.jpg)
factory ( channel)
![Page 18: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/18.jpg)
Amazing!!!
factory ( channel)
![Page 19: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/19.jpg)
Summary
There is a chance that MINOS (e), T2K(K) (
e), factory (e,e) see a signal of
NP which could be larger than what is expected fro
m the CHOOZ limit on 13 in SM+m.
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.
![Page 20: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/20.jpg)
The (for NF) (e) and e appeara
nce (for SB) (e) channels are also powerful t
o detect the effects of New Physics (because of
large 23 mixing ).
The probability to see the effects of New
Physics depends both on the baseline and E,
and combination of a reactor, T2K, NF is necessary to identify the source of the oscillation.
The channel (e) is the most powerful t
o detect the effects of New Physics for larger value
of eallowed by atm .
![Page 21: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/21.jpg)
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 L0.• For SB/BB, processes of production and detection are both
hadronic, so Ud = Us SB/BB with L0 is useless.• For NF, production process is leptonic while detection proce
ss is hadronic, so Ud Us NF with L0 is useful!
Analytical treatment of probabilities
NP
![Page 22: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/22.jpg)
At detector (hadronic)
At source
eepn s
NF(leptonic)
SB/BB (hadronic) s
e s se
In case of N=2 using Grossman’s notation
ees s
ehadron e
se
lepton e
se
hadron e
de
![Page 23: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/23.jpg)
Backup slides
![Page 24: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/24.jpg)
![Page 25: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/25.jpg)
![Page 26: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/26.jpg)
![Page 27: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/27.jpg)
![Page 28: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/28.jpg)
![Page 29: Osamu Yasuda Tokyo Metropolitan University Model independent analysis of New Physics interactions and implications for long baseline experiments INTERNATIONAL.](https://reader035.fdocuments.net/reader035/viewer/2022062322/56649ee45503460f94bf3533/html5/thumbnails/29.jpg)