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Phenomenology of GUT-less SUSY Breaking. Pearl Sandick University of Minnesota. Ellis, Olive & PS, Phys. Lett. B 642 (2006) 389 Ellis, Olive & PS, JHEP 06 (2007) 079. Standard CMSSM. Soft SUSY-breaking parameters GUT-scale universality Use RGEs to run down to weak scale.

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phenomenology of gut less susy breaking

Phenomenology of GUT-lessSUSY Breaking

Pearl Sandick

University of Minnesota

Ellis, Olive & PS, Phys. Lett. B 642 (2006) 389

Ellis, Olive & PS, JHEP 06 (2007) 079

standard cmssm
Standard CMSSM
  • Soft SUSY-breaking parameters
  • GUT-scale universality
  • Use RGEs to run down to weak scale

Pearl Sandick, UMN

gut less cmssm

mh > 114 GeV

m± > 104 GeV

BR(b  s ) HFAG

BR(Bs  +--) CDF

(g -- 2)/2 g-2 collab.

LEP

GUT-less CMSSM
  • Universality at GUT-scale Min < MGUT
    • Constraints from colliders and cosmology:

0.09  h2  0.12

Pearl Sandick, UMN

susy dark matter
SUSY Dark Matter
  • Solve Boltzmann rate equation:
  • Special Situations:
    • s - channel poles
      • 2 m  mA
    • thresholds
      • 2 m  final state mass
    • Coannihilations
      • m  mother sparticle

Pearl Sandick, UMN

evolution of the soft mass parameters

M1/2 = 800 GeV

No EWSB

Evolution of the Soft Mass Parameters
  • First look at gaugino and scalar mass evolution.

Gauginos (1-Loop):

  • Running of gauge couplings identical to CMSSM case, so low scale gaugino masses are all closer to m1/2 as Min is lowered.

Pearl Sandick, UMN

evolution of the soft mass parameters1

No EWSB

m0 = 1000 GeV

Evolution of the Soft Mass Parameters
  • First look at gaugino and scalar mass evolution.

Scalars (1-Loop):

  • As Min low scale Q, expect low scale scalar masses to be closer to m0.

Pearl Sandick, UMN

evolution of the soft mass parameters2
Evolution of the Soft Mass Parameters
  • Higgs mass parameter,  (tree level):
  • As Min low scale Q, expect low scale scalar masses to be closer to m0.
  • 2 becomes generically smaller as Min is lowered.

Pearl Sandick, UMN

mass evolution with m in
Mass Evolution with Min

m1/2 = 800 GeV

m0= 1000 GeV

A0 = 0

tan() = 10

  • > 0

No EWSB

Pearl Sandick, UMN

neutralinos and charginos
Neutralinos and Charginos

m1/2 = 1800 GeV

m0= 1000 GeV

A0 = 0

tan() = 10

  • > 0

Must properly include coannihilations involving all three lightest neutralinos!

Pearl Sandick, UMN

standard cmssm1

Focus

Point

LEP Higgs mass

Relaxed LEP Higgs

LEP chargino mass

2 < 0

(no EWSB)

g--2 suggested region

stau LSP

Coannihilation Strip

Standard CMSSM

Pearl Sandick, UMN

lowering m in tan 10

h2

too small!

Lowering Min - tan() = 10

Pearl Sandick, UMN

large tan

Rapid annihilation funnel 2m  mA

bs

B+--

Large tan()

Pearl Sandick, UMN

lowering m in tan 50

h2

too small!

Lowering Min - tan() = 50

Pearl Sandick, UMN

a 0 0
A0 0
  • A0 > 0  larger weak-scale trilinear couplings, Ai
  • Large loop corrections to  depend on Ai, so  is generically larger over the plane than when A0 = 0.
  • Also see stop-LSP excluded region

Pearl Sandick, UMN

direct detection neutralino nucleon cross sections

Spin-Dependent

Scalar

Direct Detection:Neutralino-Nucleon Cross Sections
  • Interaction Lagrangian (neglecting velocity dep. terms):
  • Plot all cross sections not forbidden by constraints
    • If calc < CDMWMAP, scale by calc/CDMWMAP

Pearl Sandick, UMN

conclusions
Conclusions
  • Intermediate scale unification results in:
    • Rapid annihilation funnel even at low tan()
    • Merging of funnel and focus point
  • Below some critical Min (dependent on tan() and other factors), all of nearly all of the (m1/2, m0) plane is disfavored because the relic density of neutralinos is too low to fully account for the relic density of cold dark matter.

Pearl Sandick, UMN

sparticle masses
Sparticle Masses

m1/2 = 800 GeV

m0= 1000 GeV

A0 = 0

tan() = 10

  • > 0

Guaginos Squarks

Pearl Sandick, UMN

lowering m in
Lowering Min

h2

too large

Pearl Sandick, UMN

lowering m in1
Lowering Min

Pearl Sandick, UMN

lowering m in2
Lowering Min

h2

too small!

Pearl Sandick, UMN

lowering m in large tan3
Lowering Min - Large tan()

h2

too small!

Pearl Sandick, UMN