Dark Matter in the Left Right Twin Higgs Model Ethan Dolle - - PowerPoint PPT Presentation

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dark matter in the left right twin higgs model
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Dark Matter in the Left Right Twin Higgs Model Ethan Dolle - - PowerPoint PPT Presentation

Nov 27, 2023 379 likes •967 views

Dark Matter in the Left Right Twin Higgs Model Ethan Dolle University of Arizona Work done with Shufang Su and Jessica Goodman arXiv:0712.1234v1 [hep-ph] 1 Outline Left-Right Twin Higgs Model Relic Density Analysis Conclusion 2

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Dark Matter in the Left Right Twin Higgs Model

Ethan Dolle University of Arizona Work done with Shufang Su and Jessica Goodman

arXiv:0712.1234v1 [hep-ph]

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Outline

  • Left-Right Twin Higgs Model
  • Relic Density Analysis
  • Conclusion
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Left-Right Twin Higgs Model

  • Chacko, Goh, and Harnik:

arXiv:hep-ph/0506256v1

  • Solution to Little Hierarchy Problem
  • To avoid EW precision constraints, add a second

Higgs that couples to gauge bosons only

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Left-Right Twin Higgs Model

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SM Higgs doublet

EWSB

Left-Right Twin Higgs Model

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Couples only to gauge bosons

SM Higgs doublet

EWSB

Left-Right Twin Higgs Model

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Couples only to gauge bosons

SM Higgs doublet

EWSB

SU(2)L Higgs doublet

Left-Right Twin Higgs Model

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Couples only to gauge bosons

SM Higgs doublet

EWSB

SU(2)L Higgs doublet

Left-Right Twin Higgs Model

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Couples only to gauge bosons

SM Higgs doublet

EWSB

SU(2)L Higgs doublet

Left-Right Twin Higgs Model

DM candidate

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  • couples only to gauge bosons:

Could be achieved by imposing a discrete symmetry

Left-Right Twin Higgs Model

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Good

  • couples only to gauge bosons:

Could be achieved by imposing a discrete symmetry

Left-Right Twin Higgs Model

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Good Bad

  • couples only to gauge bosons:

Could be achieved by imposing a discrete symmetry

Left-Right Twin Higgs Model

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Good Bad

  • couples only to gauge bosons:

Could be achieved by imposing a discrete symmetry

Left-Right Twin Higgs Model

Natural WIMP candidates

  • The lighter one of is stable, weakly interacting
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In addition to the CW potential, we can add terms to the Lagrangian:

Left-Right Twin Higgs Model

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6

In addition to the CW potential, we can add terms to the Lagrangian:

Left-Right Twin Higgs Model

bulk mass for and (optional)

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6

In addition to the CW potential, we can add terms to the Lagrangian:

Left-Right Twin Higgs Model

bulk mass for and (optional)

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6

In addition to the CW potential, we can add terms to the Lagrangian:

Left-Right Twin Higgs Model

bulk mass for and (optional) Impose neutral mass splitting to make it kinematically forbidden. Current CDMS limit:

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In addition to the CW potential, we can add terms to the Lagrangian:

Left-Right Twin Higgs Model

bulk mass for and (optional) mass splitting between and (necessary) Impose neutral mass splitting to make it kinematically forbidden. Current CDMS limit:

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6

In addition to the CW potential, we can add terms to the Lagrangian:

Left-Right Twin Higgs Model

bulk mass for and (optional) mass splitting between and (optional) mass splitting between and (necessary) Impose neutral mass splitting to make it kinematically forbidden. Current CDMS limit:

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Left-Right Twin Higgs Model

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Left-Right Twin Higgs Model

Parameterize by

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Left-Right Twin Higgs Model

Parameterize by

Mass

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Left-Right Twin Higgs Model

Parameterize by

Mass

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Left-Right Twin Higgs Model

Parameterize by

Mass

Related to

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Left-Right Twin Higgs Model

Parameterize by For :

Mass

We looked at both cases, treating splittings as free parameters.

Related to

In general, for :

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  • micrOmegas: considers co-annihilations when

mass splittings are small

  • Solve Boltzmann equation
  • WMAP:
  • Modest choice of parameters yields

Relic Density Analysis

  • Low mass region:
  • High mass region:
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Relic Density Analysis

Low mass:

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Relic Density Analysis

Low mass:

  • 3 regions:
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Relic Density Analysis

Low mass:

W pole Z pole

  • 3 regions:
  • W/Z pole (co-annihilations)
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Relic Density Analysis

Low mass:

W pole Z pole

  • 3 regions:
  • W/Z pole (co-annihilations)
  • Gauge boson pair

(annihilations)

Gauge pair

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Relic Density Analysis

Low mass:

W pole Z pole

  • 3 regions:
  • W/Z pole (co-annihilations)
  • Gauge boson pair

(annihilations)

Gauge pair

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Relic Density Analysis

Low mass:

W pole Z pole

  • 3 regions:
  • W/Z pole (co-annihilations)
  • Gauge boson pair

(annihilations)

Gauge pair

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Relic Density Analysis

Low mass:

W pole Z pole

  • 3 regions:
  • W/Z pole (co-annihilations)
  • Gauge boson pair

(annihilations)

  • bb pair (annihilations)

Gauge pair bb pair

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Relic Density Analysis

Low mass:

W pole Z pole

  • 3 regions:
  • W/Z pole (co-annihilations)
  • Gauge boson pair

(annihilations)

  • bb pair (annihilations)

Gauge pair bb pair

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Relic Density Analysis

Low mass:

  • 2 regions:
  • W/Z pole (co-annihilations)
  • Gauge boson pair

(annihilations)

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Relic Density Analysis

Low mass:

  • 2 regions:
  • W/Z pole (co-annihilations)
  • Gauge boson pair

(annihilations)

  • Change with splittings
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Relic Density Analysis

Low mass

  • case
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Relic Density Analysis

Low mass

Sh1 →qq _ ^^

  • Co-annihilations: W/Z pole
  • case
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Relic Density Analysis

Low mass

Sh1 →qq _ ^^ SS→W+W-/ZZ ^^

  • Co-annihilations: W/Z pole
  • Annihilations: gauge bosons
  • case
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Relic Density Analysis

Low mass

Sh1 →qq _ ^^ SS→W+W-/ZZ ^^

  • Co-annihilations: W/Z pole
  • Annihilations: gauge bosons
  • case
  • case
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Relic Density Analysis

Low mass

Sh1 →qq _ ^^ SS→W+W-/ZZ ^^

  • Co-annihilations: W/Z pole
  • Annihilations: gauge bosons
  • case
  • case
  • Co-annihilations: W/Z pole

SA →qq _ ^^

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Relic Density Analysis

Low mass

Sh1 →qq _ ^^ SS→W+W-/ZZ ^^

  • Co-annihilations: W/Z pole
  • Annihilations: gauge bosons
  • case
  • case
  • Co-annihilations: W/Z pole
  • Annihilations: gauge bosons

SA →qq _ ^^ SS→W+W-/ZZ ^^

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Relic Density Analysis

Low mass

Sh1 →qq _ ^^ SS→W+W-/ZZ ^^

  • Co-annihilations: W/Z pole
  • Annihilations: gauge bosons
  • Annihilations: bb pair
  • case
  • case
  • Co-annihilations: W/Z pole
  • Annihilations: gauge bosons

SA →qq _ ^^ SS→W+W-/ZZ ^^ SS→bb ^^ _

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Relic Density Analysis

High mass

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  • Two regions:
  • Bulk (annihilations)

Relic Density Analysis

High mass

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  • Two regions:
  • Bulk (annihilations)
  • ZH pole (co-annihilations)

Relic Density Analysis

High mass

mS~mZH/2

^

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  • Two regions:
  • Regions change by:
  • Bulk (annihilations)
  • ZH pole (co-annihilations)
  • changing f

Relic Density Analysis

High mass

mS~mZH/2

^

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  • Two regions:
  • Regions change by:
  • Bulk (annihilations)
  • ZH pole (co-annihilations)
  • changing f

Relic Density Analysis

High mass

  • changing

mS~mZH/2

^

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Relic Density Analysis

High mass

  • mS -f contour

^

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Relic Density Analysis

High mass

Bulk

  • mS -f contour

^

  • Bulk: mS constant

^

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Relic Density Analysis

High mass

Bulk Pole

  • mS -f contour

^

  • Bulk: mS constant

^

  • Pole: mS varies (mS ~ mZH/2)

^

^

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Relic Density Analysis

High mass

Bulk Pole

  • mS -f contour

^

  • mS - contour

^

  • Bulk: mS constant

^

  • Pole: mS varies (mS ~ mZH/2)

^

^

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Relic Density Analysis

High mass

Bulk Pole Bulk

  • mS -f contour

^

  • mS - contour

^

  • Bulk: mS constant

^

  • Pole: mS varies (mS ~ mZH/2)

^

^

  • Bulk: mS varies

^

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Relic Density Analysis

High mass

Bulk Pole Bulk Pole

  • mS -f contour

^

  • mS - contour

^

  • Bulk: mS constant

^

  • Pole: mS varies (mS ~ mZH/2)

^

^

  • Bulk: mS varies

^

  • Pole: mS constant (mS ~ mZH/2)

^

^

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Relic Density Analysis

High mass

Bulk

Large areas of parameter space where WMAP results are accessible

Pole Bulk Pole

  • mS -f contour

^

  • mS - contour

^

  • Bulk: mS constant

^

  • Pole: mS varies (mS ~ mZH/2)

^

^

  • Bulk: mS varies

^

  • Pole: mS constant (mS ~ mZH/2)

^

^

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  • Bulk mass is then given

entirely by CW potential

  • Recall for :
  • There exists regions

where

Relic Density Analysis

High mass

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  • High mass region requires a little tuning (splittings of

a few GeV), and works with minimal setup ( )

  • Left Right Twin Higgs Model provides a natural

dark matter candidate

  • Can obtain WMAP results with a wide range of

splittings for low mass region

  • Thank you!

Conclusion