c. beskidt , w. de boer, d. kazakov , f. ratnikov

KIT – Universität des Landes Baden-Württemberg undnationales Forschungszentrum in der Helmholtz-Gemeinschaft

Institut für Experimentelle Kernphysik

www.kit.edu

C. Beskidt, W. de Boer, D. Kazakov, F. Ratnikov

LHC and direct DM searches

Outline

CMSSM Constraints: LHC, WMAP, XENON100, Electroweak, heavy flavour

Fitting problems: highly correlated parameters -> multistep fitting technique

Results (Beskidt, WdB, Kazakov,Ratnikov, arxiv.org/1202.3366)

2Wim de Boer, DM2012, Marina del Rey, Feb. 23, 2012

Constraints considered

Variables calculated withMicrOMEGAs 2.4.1

Minuit for minimization

LHC limits on pseudoscalar Higgs and squarks and gluinos.


CMSSM – PRE-LHC CONSTRAINTS

Higgs Mass mh mh > 114,4 GeVMuon g-2b→sγ BRexp(b→sγ) = (3,55 ± 0,24)·10-4

Bs→μμ BRexp(Bs→μμ) < 1,1·10-8

B→τν BRexp(B→τν) = (1,68 ± 0,31)·10-4

Relic Density Ωh2 Ωh2 = 0,1131 ± 0,0034CMSSM: 4 Parameter m0, m1/2, A0, tanβ and sign of μ

Fitting problem: STRONG correlations between 3 of 4 free parameters

10exp 104,122,30 theoaaa

Solution: multistep fitting technique, i.e. fit parameters with strongest correlation (A0, tanβ) first for every pair of m0, m1/2


EXAMPLES OF HIGH CORRELATION

χ2 for Bs → μμ and Ωh2

co-annihilation region

mA exchange

focus point region

Origin of correlation:Both strongly dependent ontanβ

Bs → μμ Ωh2

For given m0 only very specific values of tan

For given tan only very specific values of A0


Excluded regions (95% C.L.) pre-LHC

WHITE = ALLOWED


Why CMSSM?

CMSSM provides UNIFICATION of gauge couplings

CMSSM provides UNIFICATION of Yukawa couplings

CMSSM assumes UNIFICATION of gaugino masses m1/2

Mgluino=2.7 m1/2, MWIMP=0.4 m1/2

CMSSM predicts EWSB with 114 < Mhiggs < 130 GeV LHC: 116<Mhiggs<131 GeV

CMSSM provides WIMP Miracle: annihilation x-section a few pb-> correct relic density scattering cross section < 10-8 pb consistent with xenon100


Why CMSSM?

CMSSM provides UNIFICATION of gauge couplings

CMSSM provides UNIFICATION of Yukawa couplings

CMSSM assumes UNIFICATION of gaugino masses m1/2

Mgluino=2.7 m1/2, MWIMP=0.4 m1/2

CMSSM predicts EWSB with 114 < Mhiggs < 130 GeV LHC: 116<Mhiggs<131 GeV

CMSSM provides WIMP Miracle: annihilation x-section a few pb-> correct relic density scattering cross section < 10-8 pb consistent with xenon100

U. A

mal

di, W

dB, H

. Für

sten

au, P

LB, 1

991,

w

db. C

, San

der,

PLB

200

4, h

ep-p

h/03

0704

9

Yukawa coupling Unificationwdb et al, PLB 2001,arXiv:hep-ph/0106311

WIMP largely Bino DM may be supersymmetric partner of CMB

LHC: 116<Mh<131 GeV

http://arxiv.org/abs/hep-ph/0106311v2









NO CONSTRAINT FROM RELIC DENSITY ALONE!

f

f

A

χ

χ

~

~

tan(β)·mfd

mW

8

N1N3(4)

tan(β)·mfd ↔ tan(β)mfu

f

f

A

χ

χ

~

~

tan(β)·mfd

mWmW

88

N1N3(4)

tan(β)·mfd ↔ tan(β)mfu4

2tan

Am

Relic density Ωh2 inversely proportional to annihilation x-section σ Main annihilation diagram via pseudo-scalar Higgs A

Dial tanβ for correct mA → tanβ ≈ 50 in most of parameter range

2/12 mmmA

Large enough annih. Cross sectionnear resonance, i.e . 2mmA


tan 50

Koannihilation

WITH LHC: RELIC DENSITY BECOMES CONSTRAINT

mAm1/2

Beskidt, wdb, Kazakov, arXiv:1008.2150


mA cross sections tan2

Beskidt, dB et al.1008.2150, PLB 2011

tanβ ≈ 50

mA > 400 GeVfor tan50


LHC DIRECT SEARCHES

qqqgggpp ~~,~~,~~

qq~~ qg~~gg~~

95% CL exclusion by CMS + ATLAS follows tot0.1-0.2 pb

2=tot2/σeff

2 , Δ2 = 2 –2min = 5,99 for 95% C.L:


LHC DIRECT SEARCHES

Excluded:(95% C.L:

GeV620~ gmGeV1000~ qm

Expected sensitivityat 14 TeV: almost 2x


Cross section limits WIMP-Nucleon scattering

from rotation curve 0.3-1.3 GeV/cm3

Scattering rate R:

X-section dominated by Higgs exchange

Quark mass and Higgsino comp. of Neutralino


=

Change of slope precisely measured by VLBI measurementsCan ONLY be explained by local ringlike substructure in DM,e.g. from disruption of Canis Major satellite.Supported by magic ring of stars and gas flaring

WdB, Weber, arXiv:1011.6323

=0.3 GeV/cm3

=1.3 GeV/cm3

Can local DM density be as large as 1.3 GeV/cm3?


CM

Sgt

Sun

From David Law, CaltechTidal force ΔFG 1/r3

no ring

with outer ring

Kalberla, et al-. arXiv:0704.3925

Gas flaring needs outer ring with mass of 2.1010M☉!

R [kpc]

FWH

M g

as la

yer

[kpc

]

Canis Major disruption suggested by magic ring of stars

(SDSS)

Evidence for local DM Substructure


LARGE UNCERTAINTY FROM VIRTUAL STRANGE QUARKS

Effective couplings

Consider conservatively much lower s-quark density from lattice calculations(and distrust N scattering in non-perturbative regime)Also considered lowest possible local DM density of 0.3 GeV/cm3


HIGGSINO COMP. LARGE FOR LARGE M0

Higgs exchange becomeslarge, if Higgsino componentof WIMP becomes large

EWSB requiressmall andlarge N13 for large m0

Large x-section Easy to exclude


COMBINED EXCLUSION PLOT


INFLUENCE FROM G-2

Preferred region from g-2 excluded largely by LHCWithout g-2 no preferred region above exclusion (red), i.e. flat, but it helps exclusion at large m0


The main players

LHCdirectsearches:

f

f

A

χ

χ

~

~

tan(β)·mfd

mW

8

N1N3(4)


f

f

A

χ

χ

~

~

tan(β)·mfd

mWmW

88

N1N3(4)


LHCHiggssearches+h2:

Direct DMsearches+h2:

LightSUSYmasses

Inter-MediateSUSYmasses

HeavySUSYmasses

Sensitive region

Combination: in CMSSM WIMP > 160 GeV, gluino > 1 TeV

Summary (arxiv1202.3366)


Backup


BEST-FIT POINT

Point 1: electroweak + cosmological constraints

Point 2: electroweak + cosmological + LHC (direct searches and mA+Ωh2) + DDMS


COMPARISON TO OTHER GROUPS

Strong correlation between A0 und tanβ

Buchmueller et al. arXiv: 1110.3568


HOW TO TREAT THEORETICAL ERRORS?

Theoretical errors can be treated as nuisance parameters and integrated over in the probability distribution (=convolution for symm. distr.) If errors Gaussian, this corresponds to adding the experimental and theoretical errors in quadratureAssume σtheo ~ σexp (only then important)

Convolution of 2 Gaussians Convolution of Gaussian + “flat top Gaussian”

Adding errors linearly more conservative approach for theory errors.

2exp

22 theo exp~ theo


CP-even lightest Higgs <130 GeVCP-even neutral heavy Higgs HCP-odd neutral Higgs ACP-even charged Higgses H

mA2=m1

2+m22 becomes ALWAYS

small at large tan

EWSB and Pseudoscalar Higgs Mass mA

Higgs potential:

m2mt

m1mb tan

EWSB wenn m2 <0, possible byrad. corr. AND 140 < mt < 200 GeV(pred. from SUSY, Inoue et al, 1982,wdb et al., hep-ph/9805378)

At large m0: should become smallin order to reach m2<0 before mZ

c. beskidt , w. de boer, d. kazakov , f. ratnikov

Documents

m12 cmssm

m12 nr

ratnikov lhc

gev lhc

fit parameters

sign of fitting problem

strongest correlation

pair of m0