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

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Sep 01, 2022 32 likes •202 views

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

SLIDE 1

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

SLIDE 2

Naturalness

Standard Model
Supersymmetry (MSSM)

Cancellation between and Cancellation between and tuning tuning 2/11

SLIDE 3

Finetuning Measure

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

SLIDE 4

Finetuning Measure

[Ellis, Enqvist, Nanopoulos and Zwirner (1986)]

Finetuning measure : 10 % tuning required 3.3 % tuning required 1 % tuning required The parameters in UV theory determines EW scale (mZ). e.g) mSUGRA case 3/11

SLIDE 5

Finetuning Measure in SUSY

4/11 Naïve estimation of

SLIDE 6

Finetuning Measure in SUSY

4/11

RGE running Mediation scale EW scale

Heavy Higgsino -> finetuning… Naïve estimation of

SLIDE 7

Finetuning Measure in SUSY

Heavy Higgsino -> finetuning… Heavy squark -> finetuning ??? If 4/11

RGE running Mediation scale EW scale RGE running Mediation scale EW scale

Naïve estimation of

SLIDE 8

Focus Point [Feng, Matchev and Moroi (1999)]

When

Heavy Squark is not so bad!

5/11

SLIDE 9

Focus Point [Feng, Matchev and Moroi (1999)]

Solution of RGEs is proportional to m0 The scale with is almost independent on m0.

[Feng, Mathcev and Moroi; PRL84 (2000) 2322]

When 5/11

Heavy Squark is not so bad!

SLIDE 10

Focus Point [Feng, Matchev and Moroi (1999)]

Solution of RGEs is proportional to m0 The scale with is almost independent on m0.

[Feng, Mathcev and Moroi; PRL84 (2000) 2322]

When is determined by

gauge coupling
Yukawa coupling
Universal scalar mass at GUT scale

5/11

Heavy Squark is not so bad!

SLIDE 11

Focus Point

Focus point behavior helps NATURALNESS.

6/11

[Feng, Mathcev and Moroi; PRD61 (2000) 075005]

Stop loop correction is HARMFUL to naturalness !!

SLIDE 12

Focus Point

Focus point behavior helps NATURALNESS.

7/11

[Feng, Mathcev and Moroi; PRD61 (2000) 075005]

Stop loop correction is HARMFUL to naturalness !!

In mSUGRA with Finetuning can be “mild”, but…. Not completely FREE !!

SLIDE 13

Focus Point with nR [Kadota and Olive (2009)]

We calculate finetune measure in mSUGRA framework with nR

Large Yukawa coupling modifies Running of soft mass.

[Kadota and Olive; PRD80 (2009) 095015]

8/11

SLIDE 14

Green : m < 104 GeV Red Stripe : m_higgs < 114.4 GeV Turquoise : mSUGRA

Result

9/11 [Asano, Moroi, RS and Yanagida; PLB708 (2012) 107]

SLIDE 15

mSUGRA with nR

Result

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

SLIDE 16

Large Yn softens fine tuning In multi TeV squark region. In focus point region, Higgs mass is relatively small.

Conclusion

11/11

SLIDE 17