Gaug auge field field as as a dark da rk m matter tter cand - - PowerPoint PPT Presentation

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Aug 24, 2022 253 likes •929 views

Gaug auge field field as as a dark da rk m matter tter cand ndidate Y A S A M A N A M A N F A R Z A N A N I P M , P M , T T E H R A R A N Outline Brief introduction to Vector like DM Our model Different phases

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Y A S A M A N A M A N F A R Z A N A N I P M , P M , T T E H R A R A N

Gaug auge field field as as a da dark rk m matter tter cand ndidate

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Outline

 Brief introduction to Vector like DM  Our model  Different phases  Potential signals of model in colliders and direct DM

searches

 Conclusions

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SPIN of dark matter?

 Spin 0, 1 / 2, 3/ 2 are all extensively studied.

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SPIN of dark matter?

 Spin 0, 1 /2, 3/2 are all extensively studied.

Spin 1 (vector boson)

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Non-Abelian Gauge Group

Thomas Hambye and Tytgat, PLB683; T. Hambye, JHEP 0901;Bhattacharya, Diaz-Cruz, Ma and Wegman, Phys Rev D85

New: SU(2)

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Abelian Vector boson

 Extra Large Dimension

Servant and Tait, Nucl Phys B650

 The little Higgs model

Birkedal et al, Phys Rev D 74

 Linear Sigma model

Abe et al, Phys Lett B Vector Higgs-portal dark matter and invisible Higgs Lebedev, Lee, Mambrini, Phys Let B 707

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A model for Abelian gauge boson as Dark Matter

YF. And Rezaei Akbarieh

Gauge group: Gauge Vector:

 Scalar(s) to break the new gauge symmetry:

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Dark matter

No kinetic mixing

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Two versions of the model

 Minimal model

Vector Higgs-portal dark matter and invisible Higgs

Lebedev, Lee, Mambrini, Phys Let B 707 (integrating out the scalars) Briefly mentioned in

T. Hambye, JHEP 0901

 Extended model

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Minimal version of the Model

 Scalar sector:  Lagrangian:  Covariant derivative:

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Minimal version of the Model

 Scalar sector:  Lagrangian:  Covariant derivative:  Invariant under

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Minimal version of the Model

 Scalar sector:  Lagrangian:  Covariant derivative:  Invariant under

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Spontaneous symmetry breaking

 Unitary gauge

Protecting the stability of the vector boson. Goldstone boson absorbed as longitudinal component

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The new scalar can decay

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Two regimes

 Scalar is heavier than the vector. (Higgs portal)  Scalar is lighter than the vector

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The annihilation diagram

S-channel scalar exchange Higgs portal

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The annihilation diagram

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Second regime

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Antimatter bound

 The produced scalar decays to the SM particles.  With the same branching ratios as SM Higgs with the

same mass

 If it decays b-bbar, …

.

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 The scalar decays with branching ratios of the Higgs.  To avoid the Antimatter bound (PAMELA):  1)  2)

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Examples

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Extended Model

 Vector boson:  A pair of scalars:

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U(1) transformation

Where Equivalently

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A Z2 symmetry

Z2 even Z2 odd

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symmetry Imposing

Accidental

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Symmetry of the model

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Stability of Potential

Some conservative assumption

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Spontaneous symmetry breaking

The mass of the gauge boson

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Remnant symmetry

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Goldstone boson

The mode perpendicular to the Goldstone boson

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Gauge Interactions of

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Unitary gauge

No Goldstone boson

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Dark matter candidate

 The new vector boson is a DARK MATTER candidate

if

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Different phases

 Phase I  Phase II  Phase III

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Equivalence of phases II and III

AND

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Phase I

Spontaneous CP-violation

Small mixing

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Phase I

Spontaneous CP-violation

Similar to the minimal model

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Phase II

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Another Z2

 A new Z2 symmetry

Another component of Dark Matter:

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Interesting scenario

Vector heavier than the stable scalar. Anti-matter constraint is relaxed. Dominant DM : Vector boson Sub-dominant DM: Scalar

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Interesting scenario

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Interesting scenario

Lower bound on coupling to Higgs

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Interesting scenario

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Detection

 Direct detection and production at collider  Phase II of extended model: annihilation of lighter

DM component Lower bound on



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Detection

 Direct detection and production at collider  Phase II of extended model: annihilation of lighter

DM component

 No such bound on minimal model or phase I of

extended

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Lower bound from thermalisation

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Potential signal at the LHC

 If the new scalars have masses below 125/ 2 GeV

Invisible Higgs decay New SM Higgs-like scalars with production suppressed by

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Potential signal at the LHC

 If the new scalars have masses below 126/ 2 GeV

Invisible Higgs decay New SM Higgs-like scalars with production suppressed by

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Direct detection

 Minimal version:  Extended model

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Summary

 Model based on  Vector gauge boson as DM  Minimal and extended version  Extended version: spontaneous CP

violation/ multiple DM candidate

 SM-like Higgs with suppressed production rate

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Backup slides

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Vector WIMP miracle

One single U(1) coupling ABE et al

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Condition for Local minimum

Extermum: Minimum:

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Conditions for Phase I

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Conditions for Phase II

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 Local Minimum  Or  Total Minimum

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Our method

Given set of couplings and mass parameters

Global minimum

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