1. Delving into the –ino sector of the MSSM Jan Kalinowski

2. Delving into the -inos of the MSSM
Outline
Introduction
MSSM charginos and neutralinos
tree level: basic properties, parameter determination,
CP violation
CP in chargino production at one loop
Towards reconstructing the fundamental theory
the SPA Convention and Project
J. Kalinowski
Delving into the -inos of the MSSM

3. or From Strings to LHC Top-down:
Exact SUSY
Exact SUSY => no new parameters
SUSY implies relations between masses and couplings:
gauge coupling = Yukawa coupling
crucial for hierarchy problem
scalars and fermions from the same multiplet have equal masses
SUSY must be broken
or From Strings to LHC
Top-down:
Derive SUSY breaking from high-scale physics
J. Kalinowski
Delving into the -inos of the MSSM

4. From LHC (and ILC) to Strings
Bottom-up:
From LHC (and ILC) to Strings
Unconstrained MSSM
No particular SUSY breaking mechanism assumed
L. Girardello, M. Grisaru ’82
Most general case: 105 new parameter – masses, mixing angles, CP phases
Good phenomenological description if universal breaking terms
Experimental determination of SUSY parameters
=> patterns of SUSY breaking
J. Kalinowski
Delving into the -inos of the MSSM

5. MSSM charginos and neutralinos
Mass matrices
neutralinos
charginos
At tree level:
charginos
neutralinos
CP phases
Expected to be among the lightest sparticles
A good starting point towards SUSY parameter determination
J. Kalinowski
Delving into the -inos of the MSSM

6. Delving into the -inos of the MSSM
Charginos
Chargino mass matrix diagonalized by two unitary matrices
J. Kalinowski
Delving into the -inos of the MSSM

7. Delving into the -inos of the MSSM
Neutralinos
Neutralino mass matrix diagonalized by a unitary matrix
Can be solved analytically
Unitarity constraints – two types of unitarity quadrangles
Two rows:
CKMZ ’01
Two columns
Unlike in CKM or MNS, the orientation of all quadrangles is physical
CP is conserved if all quadrangles collaps to lines parallel to either Re or Im axis
J. Kalinowski
Delving into the -inos of the MSSM

8. Unitarity quadranglesM
Choi, JK, Moortgat-Pick, Zerwas
All phases determined by two phases of M1 and mu parameters – many consistency checks
J. Kalinowski
Delving into the -inos of the MSSM

9. Chargino production in e+e-
after Fierz-ing
For diagonal pairs (11)/(22)
For non-diagonal pairs (12)/(21)
Choi ea
linear in
CP phases enter only (12)/(21)
sneutrino only in LR amplitude
breaks L-R symmetry
J. Kalinowski
Delving into the -inos of the MSSM

10. Chargino production in e+e-
With polarized beams , summing chargino polarizations
Polarized beams not sufficient to probe CP from
cross-section measurements alone
Only Q4 changes sign under CP
determines the normal component of the polarization vector of produced chargino
vanishes if produced charginos are of equal mass
J. Kalinowski
Delving into the -inos of the MSSM

11. Determining masses and mixings
Masses: from threshold or in continuum
If mass splitting small, exploit
[fb]
U.Martyn
C.Hensel
Mixing angles: from polarized
cross sections
Choi ea.
If only light chargino measured, reconstruction possible with help from neutralinos
J. Kalinowski
Delving into the -inos of the MSSM

12. Derive SUSY parameterss
Choi ea., Kneur & Moultaka
Two-fold ambiguity in resolved from
chargino spin
or CP-asymmetries in production+decay, e.g.
Bartl ea., hep-ph/
J. Kalinowski
Delving into the -inos of the MSSM

13. Neutralino production
after Fierz-ing selectron exchanges
For polarized beams and summing neutralino polarizations
Majorana nature => new term
non-vanishing only if CP violated and
neutralinos of different mass
where e.g.
Transverse beam polarization useful to probe CP in non-diagonal neutralino pairs
J. Kalinowski
Delving into the -inos of the MSSM

14. Neutralino masses, couplings
Masses from threshold or in continuum
Couplings: gauge=Yukawa
Martyn
Choi ea
If only the lightest accessible, exploit
Ambrosanio, Mele
Possible with
high luminosity
+ polarization
O.Kittel, LCWS’07
J. Kalinowski
Delving into the -inos of the MSSM

15. Delving into the -inos of the MSSM
LHC/ILC interplay
Gjelsten, Miller, Osland
hep-ph/
false solutions may occur
ILC would help to eliminate them
Desch, JK, Moortgat-Pick, Nojiri,
Polesello, hep-ph/
heavy gauginos in cascade decays
ILC would help to identify edges
of beyond-ILC states
J. Kalinowski
Delving into the -inos of the MSSM

16. Delving into the -inos of the MSSM
Neutralinos as tools
If a double cascade occurs, the intermediate state can be fully reconstructed
e.g.
Assuming neutralino masses known to some extent
two LSP 4-momenta => 8 unknowns
4 mass relations + E,p conservation => 8 constraints
LSP momenta can be reconstructed
Berggren
4-momentum of the intermediate particle
(here slepton) can be measured!
e+L e-R  smu+R smu-R P-wave
e+L e-L  sel+R sel-L S-wave, e-R e-R  sel-R sel-R S-wave
So if you are used to think that
a sparticle is just an edge or an end-point,
change your mind – it can be a peak!
J. Kalinowski
Delving into the -inos of the MSSM

17. Delving into the -inos of the MSSM
Heavy sfermion case
sfermions ~ 2 TeV, only stop1 ~1.1 TeV
FB asymmetry very sensitive
to sneutrino mass
, Z
Desch, JK, Moortgat-Pick, Rolbiecki, Stirling
obtain sneutrino mass
distinguish models
(e.g. focus point SUSY from split SUSY)
AFB
Decay lepton FB asymmetry
=>
Even a partial spectrum
can tell a lot…
J. Kalinowski
Delving into the -inos of the MSSM

18. Majorana and CP of neutralinos
Can be probed in many ways
1. Production at threshold
If CP conserved, in non-relat. limit
( intrinsic CP )
CPC: if (13) and (23) in S-wave
(12) must be in P-wave
otherwise CP violated
if => P-wave
if => S-wave JK
J. Kalinowski
Delving into the -inos of the MSSM

19. Majorana and CP of neutralinos
2. neutralino decay spectrum near the end-point
Production:
Decay:
for production
for decay
Compare production of
(12) with decay of 2->1
S.Y.Choi
CPC: if production in S-wave
decay must be in P-wave
otherwise CP violated
J. Kalinowski
Delving into the -inos of the MSSM

20. Majorana and CP of neutralinos
3. neutralino production and decay
Consider the process c.c.
Kinematics fully reconstructable
Neutralino coming from selectron fully polarized
left-handed in
right-handed in
Aguilar-Saavedra
One can have a sample of fully polarized neutralinos and analyze their decay in the rest frame!
lepton angular distribution w.r.t. neutralino spin: slopes equal irresp. CP
CP-odd asymmetry
Choi, Chung, Kim, JK, Rolbiecki
J. Kalinowski
Delving into the -inos of the MSSM

21. CP in chargino production
no CP violation in
J. Kalinowski
Delving into the -inos of the MSSM

22. For non-diagonal pairs
Possibility to construct the CP asymmetry without
polarization measurements
Osland, Vereshagin ‘07
Full one-loop calculations: Rolbiecki & JK, PRD76, (2007)
J. Kalinowski
Delving into the -inos of the MSSM

23. Delving into the -inos of the MSSM
Loop corrections
J. Kalinowski
Delving into the -inos of the MSSM

24. Delving into the -inos of the MSSM
Source of CP asymmetry
J. Kalinowski
Delving into the -inos of the MSSM

25. Delving into the -inos of the MSSM
J. Kalinowski
Delving into the -inos of the MSSM

26. Delving into the -inos of the MSSM
J. Kalinowski
Delving into the -inos of the MSSM

27. Delving into the -inos of the MSSM
J. Kalinowski
Delving into the -inos of the MSSM

28. Delving into the -inos of the MSSM
J. Kalinowski
Delving into the -inos of the MSSM

29. Delving into the -inos of the MSSM
J. Kalinowski
Delving into the -inos of the MSSM

30. Delving into the -inos of the MSSM
J. Kalinowski
Delving into the -inos of the MSSM

31. Delving into the -inos of the MSSM
Summary
Supersymmetry as a way to stabilize the hierarchy
Charginos and neutralinos can be among light sparticles
Perfect starting point for SUSY parameter determination
LHC –gross feature can be seen
ILC – ideal place, in particular for studying CP violation
Time to think seriously „From LHC/ILC to Strings”
J. Kalinowski
Delving into the -inos of the MSSM

32. From LHC/ILC to Strings
Supersymmetry particles will be discovered at the LHC
Future ILC will provide additional precision data on masses and couplings
Will everybody be happy?
We would like to know the relation of the visible sector to the fundamental theory:
what is the origin of SUSY breaking ?
what is the role of neutrinos ?
is it related to the theory of early universe ?
how to embed gravity ? etc., etc.
Probably we won’t have a direct experimental access to these questions
But SUSY is a predictive framework !
We can analyse precision data and state how well within some specific SUSY/GUT
model the relation of observable to fundamental physics can be established
You may ask: who cares about precision ??
J. Kalinowski
Delving into the -inos of the MSSM

33. Delving into the -inos of the MSSM
Remember Tycho Brache ?
from W. Kilian
J. Kalinowski
Delving into the -inos of the MSSM

34. Delving into the -inos of the MSSM
Practical questions
How precisely can we predict masses, cross sections, branching ratos, couplings etc. ?
many relations between sparticle masses already at tree-level, much
worse at loop-level
no obvious choice of renormalizaton scheme
Lagrangian parameters not directly measurable
some parameters are not directly related to one particular observable,
e.g., tanb, m
fitting procedure, ....
What precision can be achieved on parameters of the MSSM Lagrangian ?
unification of couplings, soft masses etc.???
which SUSY breaking mechanism ??
Can we reconsruct the fundamental theory at high scale ?
Project
Spiritus movens: Peter Zerwas
J. Kalinowski
Delving into the -inos of the MSSM

35. Delving into the -inos of the MSSM
The Project mi
The SPA Project is exactly this:
Define a framework and tools for precision SUSY analyses
Establish a common language
Set up a testbed model and its ‘epicycles’
Find the strong and weak points validating them with simulated data improve where necessary and use this to establish the connection to a the fundamental theory
Status of today: issues have been ordered, written up and published
for tomorrow: plenty of work to do!
J. Kalinowski
Delving into the -inos of the MSSM

36. Delving into the -inos of the MSSM
The Document
More than one ‘astronomer’ involved
J. Kalinowski
Delving into the -inos of the MSSM

37. Delving into the -inos of the MSSM
The project
SPA: a joint interregional theoretical and experimental effort
It provides:
a well defined framework for SUSY analyses
all necessary theoretical and computational tools
a well defined testground SPS1a’
a platform for future extensions/developments
Report
Many things to work on both experimental and theoretical side
Eur.Phys.J.C46:43-60, [arXiv:hep-ph/ ].
LHC+ILC – telescope to GUT/Pl physics
J. Kalinowski
Delving into the -inos of the MSSM

38. Delving into the -inos of the MSSM
Summary
Supersymmetry as a way to stabilize the hierarchy
Charginos and neutralinos can be among light sparticles
Perfect starting point for SUSY parameter determination
LHC –gross feature can be seen
ILC – ideal place, in particular for studying CP violation
Time to think seriously „From LHC/ILC to Strings”
SPA Project - a platform for future developments
J. Kalinowski
Delving into the -inos of the MSSM