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Delving into the –ino sector of the MSSM Jan Kalinowski

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J. KalinowskiDelving 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

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J. KalinowskiDelving into the -inos of the MSSM Exact SUSY SUSY must be broken 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 Exact SUSY => no new parameters Top-down: Derive SUSY breaking from high-scale physics or From Strings to LHC

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J. KalinowskiDelving into the -inos of the MSSM Bottom-up: No particular SUSY breaking mechanism assumed 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 L. Girardello, M. Grisaru ’82 Unconstrained MSSM From LHC (and ILC) to Strings

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

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

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J. KalinowskiDelving into the -inos of the MSSM Neutralinos Neutralino mass matrix diagonalized by a unitary matrix Unitarity constraints – two types of unitarity quadrangles Two rows: 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 Can be solved analytically CKMZ ’01

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

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

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J. KalinowskiDelving into the -inos of the MSSM With polarized beams, summing chargino polarizations 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 Polarized beams not sufficient to probe CP from cross-section measurements alone Chargino production in e+e-

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

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

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

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

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

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J. KalinowskiDelving into the -inos of the MSSM 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 4-momentum of the intermediate particle (here slepton) can be measured! 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! Berggren Neutralinos as tools

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J. KalinowskiDelving into the -inos of the MSSM Heavy sfermion case 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) A FB Decay lepton FB asymmetry => Even a partial spectrum can tell a lot… sfermions ~ 2 TeV, only stop 1 ~1.1 TeV

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

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J. KalinowskiDelving into the -inos of the MSSM Production: Decay: Majorana and CP of neutralinos 2. neutralino decay spectrum near the end-point 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

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J. KalinowskiDelving into the -inos of the MSSM Majorana and CP of neutralinos Consider the process + c.c. Kinematics fully reconstructable Neutralino coming from selectron fully polarized left-handed in right-handed in 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 Aguilar-Saavedra 3. neutralino production and decay

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J. KalinowskiDelving into the -inos of the MSSM CP in chargino production no CP violation in

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

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J. KalinowskiDelving into the -inos of the MSSM Loop corrections

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J. KalinowskiDelving into the -inos of the MSSM Source of CP asymmetry

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J. KalinowskiDelving into the -inos of the MSSM

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J. KalinowskiDelving into the -inos of the MSSM

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J. KalinowskiDelving into the -inos of the MSSM

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J. KalinowskiDelving into the -inos of the MSSM

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J. KalinowskiDelving into the -inos of the MSSM

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J. KalinowskiDelving into the -inos of the MSSM

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J. KalinowskiDelving 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”

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J. KalinowskiDelving into the -inos of the MSSM 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 ??

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

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J. KalinowskiDelving 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., tan , 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 ? Spiritus movens: Peter Zerwas Project

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J. KalinowskiDelving 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!

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

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J. KalinowskiDelving into the -inos of the MSSM 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 LHC+ILC – telescope to GUT/Pl physics The project Eur.Phys.J.C46:43-60,2006 [arXiv:hep-ph/ ]. Report Many things to work on both experimental and theoretical side

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J. KalinowskiDelving 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

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