Focus Point Assisted by Right-handed Neutrinos Ryosuke Sato - PowerPoint PPT Presentation

Focus Point Assisted by Right-handed Neutrinos Ryosuke Sato (University of Tokyo) “Focus Point Assited by Right- Handed Neutrinos” hep-ph/1111.3506, PLB 708 (2012) 107 Masaki Asano, Takeo Moroi, RS and Tsutomu T. Yanagida @ 2012.2.21 Toyama 1/11

Naturalness Standard Model • Cancellation between and tuning Supersymmetry (MSSM) • tuning Cancellation between and 2/11

Finetuning Measure The parameters in UV theory determines EW scale (mZ). e.g) mSUGRA case 3/11

Finetuning Measure The parameters in UV theory determines EW scale (mZ). e.g) mSUGRA case Finetuning measure : [Ellis, Enqvist, Nanopoulos and Zwirner (1986)] 10 % tuning required 3.3 % tuning required 1 % tuning required 3/11

Finetuning Measure in SUSY Naïve estimation of 4/11

Finetuning Measure in SUSY Naïve estimation of RGE running Mediation scale EW scale Heavy Higgsino -> finetuning … 4/11

Finetuning Measure in SUSY Naïve estimation of RGE running Mediation scale EW scale Heavy Higgsino -> finetuning … RGE running Mediation scale EW scale If Heavy squark -> finetuning ??? 4/11

Focus Point [Feng, Matchev and Moroi (1999)] Heavy Squark is not so bad! When 5/11

Focus Point [Feng, Matchev and Moroi (1999)] Heavy Squark is not so bad! When [Feng, Mathcev and Moroi; PRL84 (2000) 2322] Solution of RGEs is proportional to m0 The scale with is almost independent on m0. 5/11

Focus Point [Feng, Matchev and Moroi (1999)] Heavy Squark is not so bad! When [Feng, Mathcev and Moroi; PRL84 (2000) 2322] Solution of RGEs is proportional to m0 The scale with is almost independent on m0. gauge coupling • Yukawa coupling is determined by • Universal scalar mass at GUT scale • 5/11

Focus Point Focus point behavior helps NATURALNESS. [Feng, Mathcev and Moroi; PRD61 (2000) 075005] Stop loop correction is HARMFUL to naturalness !! 6/11

Focus Point Focus point behavior helps NATURALNESS. In mSUGRA with [Feng, Mathcev and Moroi; PRD61 (2000) 075005] Finetuning can be “ mild ”, but…. Not completely FREE !! Stop loop correction is HARMFUL to naturalness !! 7/11

Focus Point with n R [Kadota and Olive (2009)] Large Yukawa coupling modifies Running of soft mass. [Kadota and Olive; PRD80 (2009) 095015] We calculate finetune measure in mSUGRA framework with n R 8/11

Result mSUGRA Green : m < 104 GeV Red Stripe : m_higgs < 114.4 GeV Turquoise : [Asano, Moroi, RS and Yanagida; PLB708 (2012) 107] 9/11

Result mSUGRA with n R Green : m < 104 GeV Red Stripe : m_higgs < 114.4 GeV Turquoise : [Asano, Moroi, RS and Yanagida; PLB708 (2012) 107] 10/11

Conclusion Large Y n softens fine tuning In multi TeV squark region. In focus point region, Higgs mass is relatively small. 11/11