1 status of the susy les houches accord 2 project rpv, cpv, flv, nmssm & more s. heinemeyer (p....
Post on 20-Dec-2015
220 views
TRANSCRIPT
1
Status of the SUSY Les Houches Accord 2 project
RPV, CPV, FLV, NMSSM & more
S. Heinemeyer(P. Skands)
February 2006
2
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
3
SUSY Les Houches Accord v1
+ F77 I/O Library by T. Hahn (now also NMSSM)
SUSY MODEL
MSSMSUGRAGMSBAMSBNMSSMRPVCPVFLV…
CPSUPERHFEYNHIGGSISASUSYNMHDECAYSOFTSUSYSPHENOSUSPECT…
SPECTRUM CALCULATOR
CALC/COMPHEPAF’S SLEPTONSGRACEHERWIG (++)ISAJETPROSPINOPYTHIASHERPASMADGRAPHSUSYGENWHIZARD…
MC EVENT GEN /XS CALCULATOR
MICRΩSDARKSUSYNEUTDRIVERPLATON (?)
CDM PACKAGE
DECAY PACKAGE
FEYNHIGGS HDECAY NMHDECAY SDECAY SPHENO
spectrum
spc+decspc
input
spectrum
FITTINO, SFITTERFITTERS
4
The SLHA1 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)
A
¹
mAM 1
2
mo
5
How to Generalise?MSSM
2. Superpotential (at scale Q (normally MGUT) in DRbar)
RPVCPVFLV
3. SUSY Breaking Terms (at scale Q in DRbar)
6
How to Generalise?Model Definition
• Additions to global switches in block MODSEL:
3) Choice of particle content0: MSSM (default)1: NMSSM
4) R-parity violation0: R-parity conserved (default)1: R-parity violated
5) CP violation0: CP conserved (default)1: CP violated but only by CKM phase2: CP violated, general phases allowed
6) Flavour violation0: No (SUSY) flavour violation (default)1: Flavour violated
7
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 (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
• 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
How to Generalise?RPV
incl. Goldstones (?)
9
• Mixing Example: Charged colour-singlet fermions
How to Generalise?RPV
Flavour basise+ = e+ flavour eigenstatemu+ = 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 lightest1000027 (chi1+) = … 1000037 (chi2+) = heaviest charged colour-singlet fermion
10
How to Generalise?FLV
Flavour Violation at Les Houches (Chamonix): Fondue au sucre!
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-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
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
How to Generalise?NMSSM Cf. NMHDecay,
Ellwanger, Gunion, Hugonie
2. Superpotential (at scale Q (normally MGUT) in DRbar)
(usually with μMSSM=0)
NMSSM
3. SUSY Breaking Terms (at scale Q in DRbar) EXTPAR:61) lambda62) kappa63) A_lambda64) A_kappa65) mu_eff=lambda<S>
4. 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
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
ConclusionsTough conditions call for good tools! We will be
ready for NMSSM, CPV, RPV, FLV, …
Then all we need is a signal …
17
Work 1
WM SSM = ²ab£(YE )i jH a
1Lbi¹E j +(YD )i jH a
1Qbi¹D j +(YU )i jH b
2Qai¹Uj ¡ ¹ H a
1Hb2
¤
V3 = ²abX
i j
h(TE )i jH a
1~LbiL ~e
¤j R+(TD )i jH a
1~QbiL~d¤j R +(TU )i jH b
2~QaiL~u¤j R
i+h:c: ;
V2 = m2H 1H ¤1aH
a1 +m2
H 2H ¤2aH
a2 + ~Q¤
iL a(m2
~Q)i j ~Qa
j L+ ~L¤iL a(m
2~L)i j ~L aj L +
~uiR (m2~u)i j ~u
¤j R+ ~diR (m
2~d)i j ~d¤j R +~eiR (m
2~e)i j ~e
¤j R¡ (m2
3²abHa1H
b2 +h:c:) :
LG =12
³M1
~b~b+M2~wA ~wA +M3~gX ~gX´+h:c: :
18
Work 2
W = ²ab£(YE )i jH a
1Lbi¹E j +(YD )i jH a
1Qbi¹D j +(YU )i jH b
2Qai¹Uj
+12¸ i j kLai L
bj Ek +¸0i j kL
ai Q
bjDk ¡ ²iLai H
b2 ¡ ¹ H a
1Hb2
¸+12¸00ij kUiD jDk
V3 = ²abX
i j
h(TE )i jH a
1~LbiL ~e
¤j R+(TD )i jH a
1~QbiL~d¤j R +(TU )i jH b
2~QaiL~u¤j R
+12(T¸ )i j k~LaiL
~Lbj L ~e¤kR
+ (T¸ 0)i j k~Lai ~Qbj~d¤kR
i+12(T¸ 00)i j k~u¤iR
~d¤j R~d¤kR +h:c:
LG =12
³M1
~b~b+M2~wA ~wA +M3~gX ~gX´+h:c: :
V2 = m2H 1H ¤1aH
a1 +m2
H 2H ¤2aH
a2 + ~Q¤
iL a(m2
~Q)i j ~Qa
j L+ ~L¤iL a(m
2~L)i j ~L aj L +
~uiR (m2~u)i j ~u
¤j R+ ~diR (m
2~d)i j ~d¤j R +~eiR (m
2~e)i j ~e
¤j R¡ ²ab(m2
3Ha1H
b2+D i Lai H
b2
+h:c:) :mLiH Lai H
b1
+
19
Work 3
W =WM SSM +¸²abSH a1H
b2+
·3S3
V3 = V3;M SSM +(²ab¸A¸SH a1H
b2+h:c:) +
·3A · S3;
V2 = V2;M SSM +m2SS
2