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Status of the SUSY Les Houches Accord 2 project RPV, CPV, FLV, NMSSM & more

Status of the SUSY Les Houches Accord 2 project RPV, CPV, FLV, NMSSM & more. S. Heinemeyer (P. Skands). February 2006. SUSY Les Houches Accord v1. SUSY is old. Different models + different people + different tools  different conventions.

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Status of the SUSY Les Houches Accord 2 project RPV, CPV, FLV, NMSSM & more

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  1. Status of the SUSY Les Houches Accord 2 projectRPV, CPV, FLV, NMSSM & more S. Heinemeyer (P. Skands) February 2006

  2. SUSY Les Houches Accord v1 • SUSYis old. Different models + different people + different tools  different conventions • Les Houches Lots of people, lots of discussions, lots of head-aches • Accord one convention, less head-ache Writeup in JHEP 0407:036,2004

  3. SPECTRUM CALCULATOR SUSY MODEL MC EVENT GEN / XS CALCULATOR input spectrum MSSM SUGRA GMSB AMSB NMSSM RPV CPV FLV … CPSUPERH FEYNHIGGS ISASUSY NMHDECAY SOFTSUSY SPHENO SUSPECT … CALC/COMPHEP AF’S SLEPTONS GRACE HERWIG (++) ISAJET PROSPINO PYTHIA SHERPA SMADGRAPH SUSYGEN WHIZARD … spectrum spc+dec spc FEYNHIGGS HDECAY NMHDECAY SDECAY SPHENO DECAY PACKAGE CDM PACKAGE MICRΩS DARKSUSY NEUTDRIVER PLATON (?) SUSY Les Houches Accord v1                          + F77 I/O Library by T. Hahn (now also NMSSM) FITTERS   FITTINO, SFITTER

  4. M 1 2 m A m A o ¹ The SLHA1 Conventions • Experimental boundary conditions • “SM” gauge couplings and Yukawas (measured) •  “MSSM” couplings and Yukawas (not the same, since different field content  different quantum corrections) • Superpotential(at scale Q (normally MGUT) in DRbar) • SUSY Breaking Terms(at scale Q in DRbar)

  5. SUSY Breaking Terms(at scale Q in DRbar) How to Generalise?MSSM • Superpotential(at scale Q (normally MGUT) in DRbar) RPV CPV FLV

  6. How to Generalise?Model Definition • Additions to global switches in block MODSEL: • Choice of particle content • 0: MSSM (default) • 1: NMSSM • R-parity violation • 0: R-parity conserved (default) • 1: R-parity violated • CP violation • 0:CP conserved (default) • 1:CP violated but only by CKM phase • 2:CP violated, general phases allowed • Flavour violation • 0:No (SUSY) flavour violation (default) • 1:Flavour violated

  7. How to Generalise?MSSM • Work out physical Spectrum • Pole masses, • Imaginary sneutrinos …(codes 1000017, 1000018,1000019) • EW scale Lagrangian parameters • Need to specify all Lagrangian couplings (see below …) • + effective vertices? (nothing yet  SLHA3 ???) • EW scale mixings • CPV+RPV+FLV  basically, every state with same colour, spin, and EM charge can mix! • For the time being, we restrict to either RPV or CPV.

  8. How to Generalise?RPV • INPUT • New input blocks for all RPV superpotential parameters, soft-breaking parameters, and sneutrino vevs (all with prefix “RV” and suffix “IN”) • LAGRANGIAN PARAMETERS(all DRbar at scale Q) : • New output blocks for all RPV parameters (prefix “RV” but no suffix) • POLE MASSES • “PDG” codes for imaginary sneutrinos: 1000017, 1000018,1000019 • EW SCALE MIXING: • RVNMIX: 7x7 neutralino/neutrino mixing • RVUMIX, RVVMIX: 5x5 chargino/lepton mixing  example … • RVHMIX: 5x5 CP-even Higgs/sneutrino mixing • RVAMIX: 5x5 CP-odd Higgs/sneutrino mixing • RVLMIX: 4x4 Charged Higgs/slepton mixing incl. Goldstones (?)

  9. How to Generalise?RPV • Mixing Example: Charged colour-singlet fermions Flavour basis e+ = e+ flavour eigenstate mu+ = mu+ -”- tau+ = tau+ -”- -i ~w+ = charged wino ~h2+ = charged higgsino (up-type) Mass basis (PDG numbers), strictly mass-ordered: -11 (e+) = lightest state (regardless of composition!) -13 (mu+) = 2nd lightest -15 (tau+) = 3rd lightest 1000027 (chi1+) = … 1000037 (chi2+) = heaviest charged colour-singlet fermion

  10. Flavour Violation at Les Houches (Chamonix): Fondue au sucre! How to Generalise?FLV Already some experience with FLV!

  11. How to Generalise?FLV • SUPER-CKM BASIS: • defined as basis in which quark Yukawas, in DRbar, are diagonal • NB: lepton mixing not treated yet (though see RPV). • INPUT • VCKMIN: VCKM in PDG parametrisation (SM MSbar at MZ). • SMINPUTS: Include mu,d,s(2GeV)MSbar and mc(mc)MSbar • NB: no explicit proposal yet for input of non-diagonal soft SUSY-breaking trilinear and bilinear terms, e.g. MSQIN, MSUIN, MSDIN? • LAGRANGIAN PARAMETERS(all DRbar at scale Q) : • Yukawas: Super-CKM basis  always diagonal(but same blocks as SLHA1) • VCKM and bilinear SUSY-breakingMSQ, MSU, MSDmatrices • EW SCALE MIXING: • USQMIX: 6x6 up-squark mixing in super-CKM basis • DSQMIX: 6x6 down-squark mixing in super-CKM basis

  12. How to Generalise?CPV • SIMPLEST WAY • Add prefix “IM” to already existing SLHA1 blocks • E.g. in input: IMEXTPAR; in output: IMNMIX etc … • Not completely general, but useful starting point • MORE GENERAL • Add prefix “IM” to new SLHA2 blocks (supersede SLHA1 if present) • EW SCALE MIXING: • CVHMIX: 4x4 neutral Higgs (CP-even & CP-odd) mixing • IMCVHMIX: imaginary parts • Charged Higgs mixing (2x2) not yet agreed upon

  13. SUSY Breaking Terms(at scale Q in DRbar) • EXTPAR: • lambda • kappa • A_lambda • A_kappa • mu_eff=lambda<S> • Physical Spectrum • 3 H0 (PDG: 25,35,45), 2 A0 (PDG: 36, 46), 5χ0 (PDG: 1000045) • Mixing: NMHMIX NMAMIX NMNMIX See also MicrOMEGAs & CalcHEP + Interface to PYTHIA How to Generalise?NMSSM Cf. NMHDecay, Ellwanger, Gunion, Hugonie • Superpotential(at scale Q (normally MGUT) in DRbar) • (usually with μMSSM=0) NMSSM

  14. Cross Sections & Theory ErrorsNB:Not included in current LH status report • Theory Errors • Introduce (unphysical) input variables corresponding to variations within theoretical uncertainty -> range of spectra. (Similar in spririt to error PDF's) • Calculation of observables from spectrum +/- errors on computed variables • Cross Sections used by fit programs • Templated in SPheno. Collecting experiences now. Fittino, Sfitter These (and more?) to be included in journal writeup

  15. Outlook • ‘Conceptual Design Report’ for SLHA2 prepared for Les Houches BSM Proceedings, to appear on archives soon. Concerns core SLHA2 conventions. • More extensive writeup to follow in 2006. To discuss: • MC4BSM, Fermilab, Mar 20-21, 2006 (non-SUSY BSM) • Flavour in the Era of the LHC, CERN, May 15-17, 2006 (flavour) • Tools 2006, Annecy, Jun 26-28, 2006 • MC4LHC, CERN, Jul 17-26, 2006 • See also Les Houches BSM tools repository:http://www.ippp.dur.ac.uk/montecarlo/BSM

  16. Conclusions Tough conditions call for good tools! We will be ready for NMSSM, CPV, RPV, FLV, … Then all we need is a signal …

  17. £ b b b b ¤ ¹ ¹ ¹ ( ) ( ) ( ) W Y H L E Y H Q D Y H Q U H H a a a a + + ¡ ² ¹ = b M S S M E D U i j j i j j i j j i i i 1 1 2 1 2 a 1 ³ ´ ~ ~ A A X X b b h L M M M ~ ~ ~ ~ + + + w w g g c h = i G 1 2 3 X ~ ~ ~ ~ ~ ~ ~ ~ b b b : : : 2 2 2 2 ( ) ( ) ( ) ( ) ( ) ¤ 2 ¤ ¤ ¤ ¤ ¤ ¤ a a a a a a a d h V V H T H H L H H T Q H Q Q T L H Q L ~ ~ + + + + + + + ² m m e m m u c = = b E D U i j i j i j i j i j 3 2 ~ ~ H H i j i i j j i i j j 1 1 1 2 2 1 2 a : : ; Q L a a a a L R L L R L L L R L 1 2 i j ~ ~ b 2 2 2 2 ( ) ( ) ( ) ( ) ¤ ¤ ¤ a d d h H H ~ ~ ~ ~ + + ¡ + u m u m e m e m ² c b i i j i i j i i j ~ ~ ~ j j j 3 1 2 a : : : R R R d u e R R R Work 1

  18. 1 ³ ´ ~ ~ A A X X b b h L M M M ~ ~ ~ ~ + + + w w g g c h = G 1 2 3 X ~ ~ ~ ~ b b b b b b : : : £ ¹ ¹ ¹ ( ( ) ) ( ) ( ) ( ) ( ) 2 ¤ ¤ ¤ a a a a a a d V W Y T H L H E L Y T H Q H D Q Y H T Q U H Q ~ ~ + + + + ² ² e u = = b b E E D D U U i j i j j i j i j j i j i j j 3 i i j i i j i i j 1 1 1 1 2 2 a a L R L R L R i j ¸ 1 1 b b b b 0 0 0 a a a a ¸ ¸ ¸ L L E L Q D L H H H U D D + + ¡ ¡ + ² ¹ 1 1 k k k k i j i i j k k i j i j i j i i j i 2 1 2 ~ ~ ~ ~ ~ ~ ~ 2 2 b b ( ) ( ) ( ) ¤ ¤ ¤ ¤ ¤ a a d d d h T L L T L Q T ~ ~ + + + + e u c ¸ k ¸ k ¸ k 0 0 0 i j i j i j k k k i j i j i j : : L L R R R R R 2 2 ~ ~ ~ ~ 2 2 2 2 ( ) ( ) ¤ ¤ ¤ ¤ a a a a V H H H H Q Q L L + + + + m m m m = i j i j 2 ~ ~ H H i j i j 1 1 2 2 Q L a a a a L L L L 1 2 ~ ~ b b 2 2 2 2 ( ) ( ) ( ) ( ¤ ¤ ¤ a a d d H H L H ~ ~ ~ ~ + + ¡ + u m u m e m e ² m D b i i j i i j i i j ~ ~ ~ j j j i 3 1 2 2 a i R R R d u e R R R b + a L H ) h + m c i 1 LiH : : : Work 2

  19. · · b b 2 2 3 3 ( ) a a ¸ ¸ h V W V W V V A S S H H H H S S A S + + + + + + ² ² m c = = = b b ¸ M S M S M S S M M S S M 3 3 2 2 S 1 1 2 2 a a · : : ; 3 3 ; ; Work 3

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