1 Extending the SUSY Les Houches Accord P. Skands (Fermilab) SUSY EuroGDR, November 2005, Barcelona

2 SUSY Les Houches Accord Writeup in JHEP 0407:036,2004 Les Houches  Lots of people, lots of discussions SUSY  Lots of models, lots of tools, lots of conventions Accord  Lots of models, lots of tools, ONE convention ¼ ; i ; p 2 ; §, ang l es, e i gens t a t e d ecompos i t i ons :::

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

4 The SLHA Conventions 1.Experimental boundary conditions “SM” gauge couplings and Yukawas (measured)  “MSSM” couplings and Yukawas (not the same, since different field content  different quantum corrections) 2.Superpotential (at scale Q (normally M GUT ) in DRbar) 3.SUSY Breaking Terms (at scale Q in DRbar) W MSSM = ² a b £ ( Y E ) ij H a 1 L b i ¹ E j + ( Y D ) ij H a 1 Q b i ¹ D j + ( Y U ) ij H b 2 Q a i ¹ U j ¡ ¹ H a 1 H b 2 ¤ V 3 = ² a b X ij h ( T E ) ij H a 1 ~ L b i L ~ e ¤ j R + ( T D ) ij H a 1 ~ Q b i L ~ d ¤ j R + ( T U ) ij H b 2 ~ Q a i L ~ u ¤ j R i + h : c :; L G = 1 2 ³ M 1 ~ b ~ b + M 2 ~ w A ~ w A + M 3 ~ g X ~ g X ´ + h : c :: A ¹ m A M 1 2 m o

5 How to Generalise? MSSM 2.Superpotential (at scale Q (normally M GUT ) in DRbar) W = ² a b £ ( Y E ) ij H a 1 L b i ¹ E j + ( Y D ) ij H a 1 Q b i ¹ D j + ( Y U ) ij H b 2 Q a i ¹ U j ¸ ij k L a i L b j E k + ¸ 0 ij k L a i Q b j D k ¡ ² i L a i H b 2 ¡ ¹ H a 1 H b 2 ¸ ¸ 00 ij k U i D j D k RPV CPV FLV 3.SUSY Breaking Terms (at scale Q in DRbar) V 3 = ² a b X ij h ( T E ) ij H a 1 ~ L b i L ~ e ¤ j R + ( T D ) ij H a 1 ~ Q b i L ~ d ¤ j R + ( T U ) ij H b 2 ~ Q a i L ~ u ¤ j R ( T ¸ ) ij k ~ L a i L ~ L b j L ~ e ¤ k R + ( T ¸ 0 ) ij k ~ L a i ~ Q b j ~ d ¤ k R i ( T ¸ 00 ) ij k ~ u ¤ i R ~ d ¤ j R ~ d ¤ k R + h : c : V 2 = m 2 H 1 H ¤ 1 a H a 1 + m 2 H 2 H ¤ 2 a H a 2 + ~ Q ¤ i L a ( m 2 ~ Q ) ij ~ Q a j L + ~ L ¤ i L a ( m 2 ~ L ) ij ~ L a j L + ~ u i R ( m 2 ~ u ) ij ~ u ¤ j R + ~ d i R ( m 2 ~ d ) ij ~ d ¤ j R + ~ e i R ( m 2 ~ e ) ij ~ e ¤ j R ¡ ² a b ( m 2 3 H a 1 H b 2 + m ² i L a i H b 2 + h : c : ) : L G = 1 2 ³ M 1 ~ b ~ b + M 2 ~ w A ~ w A + M 3 ~ g X ~ g X ´ + h : c ::

6 How to Generalise? MSSM 4.Work out physical Spectrum Pole masses, Imaginary sneutrinos … (codes , , ?) EW scale Lagrangian parameters Need to specify all Lagrangian couplings + effective vertices? EW scale mixings CPV+RPV+FLV  basically, every state with same colour, spin, and EM charge can mix! OK, so we do that.

7 Charged colour-singlet fermions How to Generalise? Mixing Flavour Violation at Les Houches: Fondue au sucre! Flavour basis e+= e+ flavour eigenstate mu+= mu+-”- tau+= tau+-”- -i ~w+= charged wino ~h2+= charged higgsino (up-type) Mass basis (PDG codes), ordered to reduce to “normal” case: -11 (e+)= state that has biggest component of e+ -13 (mu+)= -”-mu+ -15 (tau+)= -”- tau (chi1+)= lightest chargino-like state (chi2+)= heaviest chargino-like state

8 How to Generalise? NMSSM Cf. NMHDecay, Ellwanger, Gunion, Hugonie (talk by Ellwanger here) 2.Superpotential (at scale Q (normally M GUT ) in DRbar) (usually with μ MSSM =0) NMSSM 3.SUSY Breaking Terms (at scale Q in DRbar) 4.Physical Spectrum 3 H 0 (PDG: 25,35,45), 2 A 0 (PDG: 36, 46), 5χ 0 (New: ) Enlarged mixing W = W MSSM + ¸ ² a b SH a 1 H b 2 + · 3 S 3 V 3 = V 3 ; MSSM + ( ² a b ¸ A ¸ SH a 1 H b 2 + h : c : ) + · 3 A · S 3 ; V 2 = V 2 ; MSSM + m 2 S S 2 See also MicrOmegas & CalcHEP + Interface to Pythia basically ready

9 Cross Sections & Theory Errors 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

10 Outlook ‘Conceptual Design Report’ for SLHA2 to be included in Les Houches Proceedings (deadline Dec 1 ‘05) Detailed Writeup to follow in 2006.

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