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**Delving into the –ino sector of the MSSM Jan Kalinowski**

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**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

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**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

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**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

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**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

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**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

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**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

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**Unitarity quadrangles**

M 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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**CP in chargino production**

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

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**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

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**Delving into the -inos of the MSSM**

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

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**Delving into the -inos of the MSSM**

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

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**Delving into the -inos of the MSSM**

J. Kalinowski Delving into the -inos of the MSSM

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**Delving into the -inos of the MSSM**

J. Kalinowski Delving into the -inos of the MSSM

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**Delving into the -inos of the MSSM**

J. Kalinowski Delving into the -inos of the MSSM

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**Delving into the -inos of the MSSM**

J. Kalinowski Delving into the -inos of the MSSM

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**Delving into the -inos of the MSSM**

J. Kalinowski Delving into the -inos of the MSSM

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**Delving into the -inos of the MSSM**

J. Kalinowski Delving into the -inos of the MSSM

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**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

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**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

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**Delving into the -inos of the MSSM**

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

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**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

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**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

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**Delving into the -inos of the MSSM**

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

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**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

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**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

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