# Presentation: 901718

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

- P. Slavich
- (P. Skands)

**February 2006**

## SUSY Les Houches Accord v1

- Writeup in **JHEP 0407:036,2004**

_**Les Houches**_  Lots of people, lots of discussions, lots of head-aches

_**SUSY**_ is old. Different models + different people + different tools  different conventions

_**Accord**_  one convention, less head-ache

## SUSY Les Houches Accord v1

**+ F77 I/O Library by T. Hahn (now also NMSSM)**

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**FITTINO, SFITTER**

**FITTERS**

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## Example SLHA Spectrum

## 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 M****GUT****) in DRbar)**

_**SUSY Breaking Terms**_** ****(at scale Q in DRbar)**

## How to Generalise?MSSM

_**Superpotential**_** ****(at scale Q (normally M****GUT****) in DRbar)**

**RPV**
**CPV**
**FLV**

## 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

## 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.**_

## 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: 8x8 Charged Higgs/slepton mixing

- 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**: 8x8 Charged Higgs/slepton mixing

- How to Generalise?RPV

- _incl. Goldstones (?)_

## Mixing Example: Charged colour-singlet fermions 

- How to Generalise?RPV

**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

## How to Generalise?FLV

**Already some experience with FLV!**

## 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-breaking** ****MSQ**, **MSU**, **MSD** _matrices_
**EW SCALE MIXING**:
**USQMIX**: 6x6 up-squark mixing in super-CKM basis
**DSQMIX**: 6x6 down-squark mixing in super-CKM basis

## 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

## How to Generalise?NMSSM

- Cf. NMHDecay,
- Ellwanger, Gunion, Hugonie

_**Superpotential**_** ****(at scale Q (normally M****GUT****) in DRbar)**
**	****	****	****	****	****	****(usually with ****μ****MSSM****=0)**

**NMSSM**

## Cross Sections & Theory ErrorsNB: 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**

## 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-MSSM 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

## Conclusions

- Tough conditions call for good tools! We will be ready for NMSSM, CPV, RPV, FLV, ...

- Then all we need is a signal ...

## Work 1

## Work 2

## Work 3