t- edm with polarized beams
DESCRIPTION
t- EDM with polarized beams. Gabriel González Sprinberg Instituto de Física, Facultad de Ciencias Montevideo Uruguay [email protected]. EUROPHYSICS CONFERENCE ON HIGH ENERGY PHYSICS MANCHESTER, ENGLAND 19-25 JULY 2007. . t- EDM with polarized beams. - PowerPoint PPT PresentationTRANSCRIPT
EDM with polarized beamsEDM with polarized beams
Gabriel González SprinbergInstituto de Física, Facultad de Ciencias
Montevideo Uruguay
EUROPHYSICS CONFERENCE ON HIGH ENERGY PHYSICS MANCHESTER, ENGLAND
19-25 JULY 2007.
electric dipole moment can be bounded from high statistic B/Super B factories data. For polarized beams we study new CP-odd observables and we find that limits of the order of 10-19 e-cm can be obtained.
OUTLINE
1. ELECTRIC DIPOLE MOMENT (EDM)
1.1 Definition 1.2 Experiments
2. OBSERVABLES
3. CONCLUSIONS
EDM with polarized beamsEDM with polarized beams
1. EDM 1. EDM 1.1Definition1.1Definition
P and T-odd interaction of a fermion with gauge fields (Landau 1957): Besides, chirality flipping (insight into the mass origin)
Classical electromagnetismOrdinary quantum mechanics
Same H with non-relativistic limit of Dirac’s equation:
CPT: CP and T are equivalent
d sd
EDM d E ,
H
5( )2
iH i eA m Fd
SM : • vertex corrections • at least 4-loops for leptons
Beyond SM: • one loop effect (SUSY,2HDM,...)
• dimension six effective operator
EDM
1. EDM 1. EDM 1.1Definition1.1Definition
SM :
VCKM V*CKM E.P.Shabalin ’78
We need 3-loops for a quark-EDM, and 4 loops for a lepton...
1. EDM 1. EDM 1.1Definition1.1Definition
= 0 !!!
2 5 344 10
F S
d eG m J / ( ) ecm
BOUNDS:
PDG ’06 95% CL EDM BELLE ‘02
1. EDM 1. EDM 1.2 Experiments1.2 Experiments
172 2 4 5 10 Re(d ) : ( . to . ) e cm
172 5 0 8 10I m(d ) : ( . to . ) e cm
1. EDM 1. EDM 1.2 Experiments1.2 Experiments
Light Fermions :
• Stables or with enough large lifetime• EDM : spin dynamics in electric fields
Heavy Fermions:
• Short living particles
• Spin matrix and angular distribution of decay
products in TAU-pair production may depend on the EDM
1. EDM 1. EDM 1.2 Experiments1.2 Experiments
si s
j
si
HOW DO WE MEASURE ELECTRIC DIPOLE MOMENTS?
Total cross sections e+e- +-
e+e- e+e- +-
Partial widths Z +-
Sensitive to many contributions
Spin correlations · Linear polarizations
Correlations and asymmetries observables select EDM by symmetry properties
2. Observables 2. Observables Tau pair production
Normal polarization:
and needs helicity-flip so for the Tau it is mass enhanced
Genuine if J.Bernabéu,GGS,J.Vidal
Nucl. Phys B763 (2007)
NORMAL POLARIZATION: T-odd P-even
Vs.
EDM: T-odd P-odd
Polarized beams provide another P-odd source
NP T odd, P even
N NP P CP
2. Observables 2. Observables
+ -
101011-1
211-1
2 TAU P
AIRS
TAU P
AIRS
2. Observables 2. Observables
Diagrams
e e , (s ) (s )
d
d
2. Observables 2. Observables
+
RESONANT PRODUCTION
22 22 22
3
3be Q FH(M ) Br( e e )
M
Normal polarization: EDM and polarized beams can produce a
P-even observable
2. Observables 2. Observables
Angular asymmetries ( ) are proportional to EDM
One can also measure for and/or
1
2 CP
N N NA (A A )
NP
A
CP :
2
23
8 3L R
NL R
Rem
(dA )( ) e
2 cos si Ren ( )N
mdP
e
For polarized beams
2. Observables 2. Observables
2. Observables 2. Observables
Bounds:
1 ab = 10-18 b
1
1
19
20
1 15
5 75
1 6 10
7 2 10
SuperB factory, yr running, ab
SuperB factory, yrs running, ab
Re(d ) . ecm
Re(d ) . ecm
3. Conclusions3. Conclusions
• We studied linear polarization CP-odd observables at SuperB factories.
• Normal Tau polarization observables and polarized beams allow to put strong limits on the EDM.
• These observables are independent from other low and high energy observables already investigated.
• These bounds are 3 orders of magnitude below current limits.
Discussions with J.Bernabéu, J.Vidal and A.Santamaria are gratefully acknowledged
SOME REFERENCES
J. Bernabéu, G-S., Jordi Vidal
Nuclear Physics B763 (2007) 283-292
D. Gomez-Dumm, G-S.
Eur. Phys. J. C 11, 293-300 (1999)
3. Conclusions3. Conclusions
Gabriel González Sprinberg, Facultad de Ciencias, Uruguay