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

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

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 3

Left-Right Twin Higgs Model 4

Left-Right Twin Higgs Model EWSB SM Higgs doublet 4

Left-Right Twin Higgs Model EWSB SM Higgs doublet Couples only to gauge bosons 4

Left-Right Twin Higgs Model EWSB SM Higgs doublet SU(2) L Higgs doublet Couples only to gauge bosons 4

Left-Right Twin Higgs Model EWSB SM Higgs doublet SU(2) L Higgs doublet Couples only to gauge bosons 4

Left-Right Twin Higgs Model EWSB SM Higgs doublet SU(2) L Higgs doublet Couples only to gauge bosons DM candidate 4

Left-Right Twin Higgs Model • couples only to gauge bosons: Could be achieved by imposing a discrete symmetry 5

Left-Right Twin Higgs Model • couples only to gauge bosons: Could be achieved by imposing a discrete symmetry Good 5

Left-Right Twin Higgs Model • couples only to gauge bosons: Could be achieved by imposing a discrete symmetry Good Bad 5

Left-Right Twin Higgs Model • couples only to gauge bosons: Could be achieved by imposing a discrete symmetry Good Bad • The lighter one of is stable, weakly interacting Natural WIMP candidates 5

Left-Right Twin Higgs Model In addition to the CW potential, we can add terms to the Lagrangian: 6

Left-Right Twin Higgs Model In addition to the CW potential, we can add terms to the Lagrangian: bulk mass for and (optional) 6

Left-Right Twin Higgs Model In addition to the CW potential, we can add terms to the Lagrangian: bulk mass for and (optional) 6

Left-Right Twin Higgs Model In addition to the CW potential, we can add terms to the Lagrangian: bulk mass for and (optional) Current CDMS limit: Impose neutral mass splitting to make it kinematically forbidden. 6

Left-Right Twin Higgs Model In addition to the CW potential, we can add terms to the Lagrangian: bulk mass for mass splitting and between and (optional) (necessary) Current CDMS limit: Impose neutral mass splitting to make it kinematically forbidden. 6

Left-Right Twin Higgs Model In addition to the CW potential, we can add terms to the Lagrangian: bulk mass for mass splitting mass splitting and between and between and (optional) (optional) (necessary) Current CDMS limit: Impose neutral mass splitting to make it kinematically forbidden. 6

Left-Right Twin Higgs Model 7

Left-Right Twin Higgs Model Parameterize by 7

Left-Right Twin Higgs Model Parameterize by Mass 7

Left-Right Twin Higgs Model Parameterize by Mass 7

Left-Right Twin Higgs Model Parameterize by Mass Related to 7

Left-Right Twin Higgs Model Parameterize by Mass Related to For : In general, for : We looked at both cases, treating splittings as free parameters. 7

Relic Density Analysis • WMAP: • Solve Boltzmann equation • micrOmegas: considers co-annihilations when mass splittings are small • Modest choice of parameters yields Low mass region: • High mass region: • 8

Relic Density Analysis Low mass: 9

Relic Density Analysis Low mass: • 3 regions: 9

Relic Density Analysis Low mass: • 3 regions: • W/Z pole (co-annihilations) W pole Z pole 9

Relic Density Analysis Low mass: • 3 regions: • W/Z pole (co-annihilations) • Gauge boson pair Gauge pair (annihilations) W pole Z pole 9

Relic Density Analysis Low mass: • 3 regions: • W/Z pole (co-annihilations) • Gauge boson pair Gauge pair (annihilations) W pole Z pole 9

Relic Density Analysis Low mass: • 3 regions: • W/Z pole (co-annihilations) • Gauge boson pair Gauge pair (annihilations) W pole Z pole 9

Relic Density Analysis Low mass: • 3 regions: • W/Z pole (co-annihilations) • Gauge boson pair Gauge pair (annihilations) • bb pair (annihilations) bb pair W pole Z pole 9

Relic Density Analysis Low mass: • 3 regions: • W/Z pole (co-annihilations) • Gauge boson pair Gauge pair (annihilations) • bb pair (annihilations) bb pair W pole Z pole 9

Relic Density Analysis Low mass: • 2 regions: • W/Z pole (co-annihilations) • Gauge boson pair (annihilations) 10

Relic Density Analysis Low mass: • 2 regions: • W/Z pole (co-annihilations) • Gauge boson pair (annihilations) • Change with splittings 10

Relic Density Analysis Low mass • case 11

Relic Density Analysis Low mass • case • Co-annihilations: W/Z pole _ ^^ Sh 1 → qq 11

Relic Density Analysis Low mass • case • Co-annihilations: W/Z pole ^^ SS → W + W - /ZZ • Annihilations: gauge bosons _ ^^ Sh 1 → qq 11

Relic Density Analysis Low mass • case • Co-annihilations: W/Z pole ^^ SS → W + W - /ZZ • Annihilations: gauge bosons • case _ ^^ Sh 1 → qq 11

Relic Density Analysis Low mass • case • Co-annihilations: W/Z pole ^^ SS → W + W - /ZZ • Annihilations: gauge bosons • case _ ^^ SA → qq _ ^^ Sh 1 → qq • Co-annihilations: W/Z pole 11

Relic Density Analysis Low mass • case • Co-annihilations: W/Z pole ^^ SS → W + W - /ZZ • Annihilations: gauge bosons ^^ SS → W + W - /ZZ • case _ ^^ SA → qq _ ^^ Sh 1 → qq • Co-annihilations: W/Z pole • Annihilations: gauge bosons 11

Relic Density Analysis Low mass • case • Co-annihilations: W/Z pole _ ^^ SS → W + W - /ZZ ^^ SS → bb • Annihilations: gauge bosons ^^ SS → W + W - /ZZ • case _ ^^ SA → qq _ ^^ Sh 1 → qq • Co-annihilations: W/Z pole • Annihilations: gauge bosons • Annihilations: bb pair 11

Relic Density Analysis High mass 12

Relic Density Analysis High mass • Two regions: • Bulk (annihilations) 12

Relic Density Analysis High mass • Two regions: • Bulk (annihilations) • Z H pole (co-annihilations) m S ~m ZH /2 ^ 12

Relic Density Analysis High mass • Two regions: • Bulk (annihilations) • Z H pole (co-annihilations) m S ~m ZH /2 ^ • Regions change by: • changing f 12

Relic Density Analysis High mass • Two regions: • Bulk (annihilations) • Z H pole (co-annihilations) m S ~m ZH /2 ^ • Regions change by: • changing f • changing 12

Relic Density Analysis High mass • m S -f contour ^ 13

Relic Density Analysis High mass • m S -f contour ^ • Bulk: m S constant ^ Bulk 13

Relic Density Analysis High mass • m S -f contour ^ • Bulk: m S constant ^ Bulk • Pole: m S varies (m S ~ m ZH /2) ^ ^ Pole 13

Relic Density Analysis High mass • m S -f contour ^ • Bulk: m S constant ^ Bulk • Pole: m S varies (m S ~ m ZH /2) ^ ^ • m S - contour ^ Pole 13

Relic Density Analysis High mass • m S -f contour ^ • Bulk: m S constant ^ Bulk Bulk • Pole: m S varies (m S ~ m ZH /2) ^ ^ • m S - contour ^ Pole • Bulk: m S varies ^ 13

Relic Density Analysis High mass • m S -f contour ^ • Bulk: m S constant ^ Bulk Bulk • Pole: m S varies (m S ~ m ZH /2) ^ ^ • m S - contour ^ Pole • Bulk: m S varies ^ Pole • Pole: m S constant (m S ~ m ZH /2) ^ ^ 13

Relic Density Analysis High mass • m S -f contour ^ • Bulk: m S constant ^ Bulk Bulk • Pole: m S varies (m S ~ m ZH /2) ^ ^ • m S - contour ^ Pole • Bulk: m S varies ^ Pole • Pole: m S constant (m S ~ m ZH /2) ^ ^ Large areas of parameter space where WMAP results are accessible 13

Relic Density Analysis High mass • Recall for : • There exists regions where • Bulk mass is then given entirely by CW potential 14

Conclusion • 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 • High mass region requires a little tuning (splittings of a few GeV), and works with minimal setup ( ) • Thank you! 15