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Extending the SUSY Les Houches Accord

P. Skands (Fermilab)

SUSY EuroGDR, November 2005, Barcelona

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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;§ , angles, eigenstatedecompositions :::

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SUSY Les Houches Accord

… + F77 I/O Library by T. Hahn

SUSY MODEL

MSSMSUGRAGMSBAMSBNMSSMRPVCPVFLV…

CPSUPERHFEYNHIGGSISASUSYNMHDECAYSOFTSUSYSPHENOSUSPECT…

SPECTRUM CALCULATOR

CALC/COMPHEPAF’S SLEPTONSGRACEHERWIG (++)ISAJETPROSPINOPYTHIASHERPASMADGRAPHSUSYGENWHIZARD…

MC EVENT GEN /XS CALCULATOR

MICRΩSDARKSUSYNEUTDRIVER

CDM PACKAGE

DECAY PACKAGE

FEYNHIGGS HDECAY NMHDECAY SDECAY

spectrum

spc+decspc

in

spectrum

FITTINO, SFITTERFITTERS

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The SLHA Conventions1. 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 MGUT) in DRbar)

3. SUSY Breaking Terms (at scale Q in DRbar)

WM SSM = ²ab£(YE )i j H a

1Lbi

¹E j + (YD )i j H a1Qb

i¹D j + (YU )i j H b

2Qai

¹Uj ¡ ¹ H a1H b

2

¤

V3 = ²ab

X

i j

h(TE )i j H a

1~Lb

iL~e¤j R

+ (TD )i j H a1

~QbiL

~d¤j R

+ (TU )i j H b2

~QaiL

~u¤j R

i+ h:c: ;

V2 = m2H 1

H ¤1aH a

1 + m2H 2

H ¤2aH a

2 + ~Q¤iL a(m2

~Q)i j

~Qaj L

+ ~L¤iL a(m2

~L)i j

~L aj L

+

~uiR(m2

~u)i j ~u¤j R

+ ~diR(m2

~d)i j

~d¤j R

+ ~eiR(m2

~e)i j ~e¤j R

¡ (m23²abH a

1H b2 + h:c:) :

LG =12

³M1

~b~b+ M2 ~wA ~wA + M3~gX ~gX´

+ h:c: :

A

¹

mAM 1

2

mo

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How to Generalise?MSSM

2. Superpotential (at scale Q (normally MGUT) in DRbar)

W = ²ab£(YE )i j H a

1Lbi

¹E j + (YD )i j H a1Qb

i¹D j + (YU )i j H b

2Qai

¹Uj

+12¸ i j kLa

i Lbj Ek + ¸0

i j kLai Qb

j Dk ¡ ²iLai H b

2 ¡ ¹ H a1H b

2

¸+

12¸00

ij kUiD j Dk

RPVCPVFLV

3. SUSY Breaking Terms (at scale Q in DRbar)

V3 = ²ab

X

i j

h(TE )i j H a

1~Lb

iL~e¤j R

+ (TD )i j H a1

~QbiL

~d¤j R

+ (TU )i j H b2

~QaiL

~u¤j R

+12(T¸ )i j k

~LaiL

~Lbj L

~e¤kR

+ (T¸ 0)i j k~La

i~Qb

j~d¤kR

i+

12(T¸ 00)i j k ~u¤

iR~d¤j R

~d¤kR

+ h:c:

V2 = m2H 1

H ¤1aH a

1 + m2H 2

H ¤2aH a

2 + ~Q¤iL a(m2

~Q)i j

~Qaj L

+ ~L¤iL a(m2

~L)i j

~Laj L

+

~uiR(m2

~u)i j ~u¤j R

+ ~diR(m2

~d)i j

~d¤j R

+ ~eiR(m2

~e)i j ~e¤j R

¡ ²ab(m23H

a1H b

2 + m² iL a

i H b2 + h:c:) :

LG =12

³M1

~b~b+ M2 ~wA ~wA + M3~gX ~gX´

+ h:c: :

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How to Generalise?MSSM

4. Work out physical Spectrum

• Pole masses, • Imaginary sneutrinos … (codes 1000017, 1000018,1000019?)

• 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.

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• Charged colour-singlet fermions

How to Generalise?Mixing

Flavour Violation at Les Houches: Fondue au sucre!

Flavour basise+ = e+ flavour eigenstatemu+ = 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+1000027 (chi1+)= lightest chargino-like state 1000037 (chi2+)= heaviest chargino-like state

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How to Generalise?NMSSM Cf. NMHDecay,

Ellwanger, Gunion, Hugonie(talk by Ellwanger here)

2. Superpotential (at scale Q (normally MGUT) in DRbar)

(usually with μMSSM=0)

NMSSM

3. SUSY Breaking Terms (at scale Q in DRbar)

4. Physical Spectrum

• 3 H0 (PDG: 25,35,45), 2 A0 (PDG: 36, 46), 5χ0 (New: 1000045)

• Enlarged mixing

W = WM SSM + ¸²abSH a1H b

2 +·3

S3

V3 = V3;M SSM + (²ab¸A¸ SH a1H b

2 + h:c:) +·3

A · S3;

V2 = V2;M SSM + m2SS2

See also MicrOmegas & CalcHEP+ Interface to Pythia basically ready

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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

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Outlook

• ‘Conceptual Design Report’ for SLHA2 to be included in Les Houches Proceedings (deadline Dec 1 ‘05)

• Detailed Writeup to follow in 2006.

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ConclusionsTough conditions call for good tools! We will be

ready for NMSSM, CPV, RPV, FLV, …

Then all we need is a signal …