Hypercharged Anomaly-Mediated Supersymmetry Breaking at the LHC S. Raj Hypercharged Anomaly-Mediated Introduction HCAMSB Model Supersymmetry Breaking at the LHC HCAMSB Spectrum HCAMSB @ LHC Summary PHENO ’09 Shibi Rajagopalan shibi@nhn.ou.edu University of Oklahoma Homer L. Dodge Dept. of Physics and Astronomy May 12, 2009
Hypercharged Introduction Anomaly-Mediated Supersymmetry Breaking at the LHC authors S. Raj Introduction HCAMSB Model Hypercharged Anomaly Mediation ◮ HCAMSB Spectrum HCAMSB @ LHC Radovan Dermisek, Herman Verlinde, Lian-Tao Wang Summary Phys.Rev.Lett.100:131804,2008 arXiv:0711.3211 [hep-ph] Prospects for Hypercharged Anomaly-Mediated SUSY ◮ Breaking at the LHC H. Baer, R. Dermisek, S. Rajagopalan, H. Summy On arXiv soon
Hypercharged Introduction Anomaly-Mediated Supersymmetry Breaking at the LHC Overview S. Raj Introduction HCAMSB Model HCAMSB Spectrum HCAMSB @ LHC Summary Describe the HCAMSB model ◮ Look at the mass spectrum ◮ (preliminary) Event generation for the LHC ◮
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Anomaly Mediation S. Raj Introduction HCAMSB Model HCAMSB Spectrum HCAMSB @ LHC Summary
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Anomaly Mediation S. Raj Introduction HCAMSB Model Soft Parameters in SUGRA Models HCAMSB Spectrum HCAMSB @ LHC Summary
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Anomaly Mediation S. Raj Introduction HCAMSB Model Soft Parameters in SUGRA Models HCAMSB Spectrum HCAMSB @ LHC Summary Visible Sector Hidden Sector (MSSM) (SM Gauge Singlets)
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Anomaly Mediation S. Raj Introduction HCAMSB Model Soft Parameters in SUGRA Models HCAMSB Spectrum HCAMSB @ LHC Summary Visible Sector Hidden Sector - - - - - - - - - (MSSM) (SM Gauge Singlets)
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Anomaly Mediation S. Raj Introduction HCAMSB Model Soft Parameters in SUGRA Models HCAMSB Spectrum HCAMSB @ LHC Summary tree-level Visible Sector Hidden Sector - - - - - - - - - (MSSM) (SM Gauge Singlets) gravitational int.
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Anomaly Mediation S. Raj Introduction HCAMSB Model Soft Parameters in SUGRA Models HCAMSB Spectrum HCAMSB @ LHC Summary tree-level Visible Sector Hidden Sector - - - - - - - - - (MSSM) (SM Gauge Singlets) gravitational int. + additional 1-loop contribution (super-Weyl anomaly)
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Anomaly Mediation S. Raj Introduction HCAMSB Model Soft Parameters in SUGRA Models HCAMSB Spectrum HCAMSB @ LHC Summary tree-level Visible Sector Hidden Sector - - - - - - - - - (MSSM) (SM Gauge Singlets) gravitational int. + additional 1-loop contribution (super-Weyl anomaly) Tree-level suppression ⇐ ⇒ ExtraDimensions
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Anomaly Mediation S. Raj Introduction HCAMSB Model HCAMSB Spectrum HCAMSB @ LHC AMSB is nice because. . . Summary
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Anomaly Mediation S. Raj Introduction HCAMSB Model HCAMSB Spectrum HCAMSB @ LHC AMSB is nice because. . . Summary ◮ all soft terms depend on single parameter: m 3 / 2 ◮ solves SUSY flavor and CP problems ◮ soft contributions are scale invariant
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Anomaly Mediation S. Raj Introduction HCAMSB Model HCAMSB Spectrum HCAMSB @ LHC AMSB is nice because. . . Summary ◮ all soft terms depend on single parameter: m 3 / 2 ◮ solves SUSY flavor and CP problems ◮ soft contributions are scale invariant However AMSB alone is problematic:
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Anomaly Mediation S. Raj Introduction HCAMSB Model HCAMSB Spectrum HCAMSB @ LHC AMSB is nice because. . . Summary ◮ all soft terms depend on single parameter: m 3 / 2 ◮ solves SUSY flavor and CP problems ◮ soft contributions are scale invariant However AMSB alone is problematic: ◮ well known that sleptons are tachyonic: m 2 sleptons < 0 ◮ Adhoc m 0 bumps up those masses ⇒ soft terms no longer RGE invariant
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC minimal AMSB S. Raj Introduction HCAMSB Model Soft Contributions in AMSB Models HCAMSB Spectrum HCAMSB @ LHC Summary Parameter Space: ( m 0 , ) m 3 / 2 , tan β, sign ( µ ) RGE’s: M a = b a g 2 16 π 2 m 3 / 2 , a = 1 , 2 , 3 a 4 { d γ dg β g + d γ m 2 i = − 1 df β f } m 3 / 2 A f = β f f m 3 / 2
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Hypercharged Mediation S. Raj Introduction HCAMSB Model HCAMSB Spectrum HCAMSB @ LHC Summary
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Hypercharged Mediation S. Raj Introduction This mediation of SUSY-breaking relies on a few things: HCAMSB Model HCAMSB Spectrum HCAMSB @ LHC Summary
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Hypercharged Mediation S. Raj Introduction This mediation of SUSY-breaking relies on a few things: HCAMSB Model HCAMSB Spectrum HCAMSB @ LHC ◮ MSSM & hidden sectors separated by bulk Summary ◮ hidden brane in strongly-warped region of manifold ⇒ filters tree-level gravitational effects ◮ visibile (V) & hidden (H) branes carry U(1) charges ⇒ gauge bosons: A V and A H ◮ F-type SUSY breaking happens on the hidden U(1) brane
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Hypercharged Mediation S. Raj Introduction They couple to gauge fields by HCAMSB Model RR p-forms traverse the bulk HCAMSB Spectrum linear C-S-couplings HCAMSB @ LHC Summary
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Hypercharged Mediation S. Raj Introduction They couple to gauge fields by HCAMSB Model RR p-forms traverse the bulk HCAMSB Spectrum linear C-S-couplings HCAMSB @ LHC Summary KK reduction ⇓ 1 2 µ 2 | dC | 2 L RR = C ∧ ( dA V + dA H ) + equivalent to Stuckelberg mass; µ ∼ string scale ⇓ ( A V + A H ) integrates out
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Hypercharged Mediation S. Raj Introduction They couple to gauge fields by HCAMSB Model RR p-forms traverse the bulk HCAMSB Spectrum linear C-S-couplings HCAMSB @ LHC Summary KK reduction ⇓ 1 2 µ 2 | dC | 2 L RR = C ∧ ( dA V + dA H ) + equivalent to Stuckelberg mass; µ ∼ string scale ⇓ ( A V + A H ) integrates out ⇓ Low-energy combination: A 1 = ( A H − A V )
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Hypercharged Mediation S. Raj Introduction They couple to gauge fields by HCAMSB Model RR p-forms traverse the bulk HCAMSB Spectrum linear C-S-couplings HCAMSB @ LHC Summary KK reduction ⇓ 1 2 µ 2 | dC | 2 L RR = C ∧ ( dA V + dA H ) + equivalent to Stuckelberg mass; µ ∼ string scale ⇓ ( A V + A H ) integrates out ⇓ Low-energy combination: A 1 = ( A H − A V ) A 1 is the Hypercharge Boson
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Hypercharged Mediation S. Raj Introduction HCAMSB Model F-terms give mass of visible sector bino: HCAMSB Spectrum HCAMSB @ LHC Summary
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Hypercharged Mediation S. Raj Introduction HCAMSB Model F-terms give mass of visible sector bino: HCAMSB Spectrum HCAMSB @ LHC ◮ 1-loop bino mass contrib. to hypercharged particles Summary ◮ 2-loop to other gauginos (no direct coupling)
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Hypercharged Mediation S. Raj Introduction HCAMSB Model F-terms give mass of visible sector bino: HCAMSB Spectrum HCAMSB @ LHC ◮ 1-loop bino mass contrib. to hypercharged particles Summary ◮ 2-loop to other gauginos (no direct coupling) ◮ Correction to M 1 RGE M 1 + b 1 g 2 → M 1 = ˜ 16 π 2 m 3 / 2 1
Hypercharged HCAMSB Anomaly-Mediated Supersymmetry Breaking at the LHC Hypercharged Mediation S. Raj Introduction HCAMSB Model F-terms give mass of visible sector bino: HCAMSB Spectrum HCAMSB @ LHC ◮ 1-loop bino mass contrib. to hypercharged particles Summary ◮ 2-loop to other gauginos (no direct coupling) ◮ Correction to M 1 RGE M 1 + b 1 g 2 → M 1 = ˜ 16 π 2 m 3 / 2 1 Parameterize Hypercharged contrib. relative to AMSB’s ˜ M 1 α = m 3 / 2
Hypercharged Anomaly and HC Mediation Anomaly-Mediated Supersymmetry Breaking at the LHC S. Raj Introduction Things to note: HCAMSB Model HCAMSB Spectrum HCAMSB @ LHC Summary
Hypercharged Anomaly and HC Mediation Anomaly-Mediated Supersymmetry Breaking at the LHC S. Raj Introduction Things to note: HCAMSB Model HCAMSB Spectrum HCAMSB @ LHC Summary Pure Anomaly Mediation Pure HC Mediation some problems gone:
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