a gauge mediation model for explaining the muon g …a gauge mediation model for explaining the muon...
TRANSCRIPT
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A gauge mediation model for explaining the muon g-2 with gauge coupling unification
横崎 統三 (Kavli IPMU)
Phys.Lett. B725 (2013) 339-343
柳田 勉, G. Bhattacharyya, B. Bhattacherjee共同研究者
arXiv:1311.xxxx
2013年11月1日@富山大学
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Introduction
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ヒッグス粒子発見!
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Higgs boson mass
Higgs boson mass ~125GeV
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• (エレメンタリー)スカラー粒子の発見•超対称性はエレメンタリースカラー粒子を自然に内包する
Fermion Boson
quarklepton
squarkslepton
gauge bosongaugino
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We got an evidence of SUSY?
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We got an evidence of SUSY?
Higgs boson
Hagure metal(To discover is also difficult)
Ref. Dragon Quest
spin-0
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We got an evidence of SUSY?
Higgs boson
Hagure metal(To discover is also difficult)
Ref. Dragon Quest
spin-0
SUSY particles are there!
spin-0
spin-0
spin-0
spin-0
spin-0
spin-0
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The Higgs boson mass in MSSM
4点のgauge couplingのdeviationはradiative correctionで!
Tree levelでマッチさせるとλ~(1/8)(gY2+g22)
超対称標準模型では、ヒッグスボソンの質量はmZより小さい
From D-term
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radiative correction
In decoupling limit
λはtreeの2倍くらい必要!
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positive negative
(sbottom loops are also important at large μ and tanβ)
Top/stop loops are important!
XtYt XtYt
@1-loop
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The H3m error corresponds to change of the renormalization scale from Ms/2 to 2Ms
tanb=20
重いストップ(3-4TeV)で説明できる
J.L. Feng, P. Kant, S. Profumo and D. Sanford,
1306.2318
O(αt αS2)@3-loop
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一方で軽いSUSY particleの実験的示唆
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SM value
>3σ deviation from SM prediction!
Muon g-2 anomaly
[Hagiwara, Liao, Martin, Nomura, Teubner, J.Phys. G38 (2011) 085003]
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http://www.fnal.gov/pub/presspass/press_releases/2013/Muon-g-2-201305.html
・・・
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これを説明できるNPのmassスケールはどれくらいだろうか...
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New coupling
Mass scale of new physics
g-2のdeviationを説明するには、O(100)GeVくらいのNew physics massが必要。
これを説明できるNPのmassスケールはどれくらいだろうか...
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SM value
>3σ deviation from SM prediction!
Muon g-2 anomaly
軽い non-colored SUSY particleによって
解決できる
[Hagiwara, Liao, Martin, Nomura, Teubner, J.Phys. G38 (2011) 085003]
e.g,
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しかし厳しいフレーバーの制限slepton sector
squark sector
適当に軽くすることはできない!
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しかし厳しいフレーバーの制限
~1000TeV! for O(1) mixing
slepton sector
squark sector
適当に軽くすることはできない!
~10TeV for O(1) mixing
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しかし厳しいフレーバーの制限
~1000TeV! for O(1) mixing
slepton sector
squark sector
適当に軽くすることはできない!
~10TeV for O(1) mixingCPV in K K bar mixing
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LHC SUSY Searches
• Colored particleのproductionもEW productionも厳しい制限が付いている
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are excluded
Colored Case
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3leptons
EW production
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[Endo, Hamaguchi, Iwamoto, NY, 2011; ... NY, 2013]
GMSB model with top-like partners
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Good region
s
are dead!
[Endo, Hamaguchi, Iwamoto, NY, 2011; ... NY, 2013]
GMSB model with top-like partners
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ではどうすればいいか?重い colored SUSY particles
Higgs boson mass~125GeV
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ではどうすればいいか?重い colored SUSY particles
Higgs boson mass~125GeV
Anomaly of the muon g-2
軽い non-colored SUSY particles
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ではどうすればいいか?重い colored SUSY particles
Higgs boson mass~125GeV
Anomaly of the muon g-2
軽い non-colored SUSY particles
FCNCは避けたい
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ではどうすればいいか?重い colored SUSY particles
Higgs boson mass~125GeV
Anomaly of the muon g-2
軽い non-colored SUSY particles
答え: colored and non-colored mass splitting in gauge mediation
FCNCは避けたい
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概要• Introduction (done!)• Gauge Mediation•Minimal case (無理でした)•我々の模型• Cosmologyへのコメント•まとめ
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Gauge Mediation• Soft mass parametersはゲージ相互作用からinduceされる
• Flavor blind interactionなのでFCNCの問題をださない
MSSMMessengers
SUSY breaking massSMのゲージチャージ
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量子数はSU(2)L doubletのレプトンと同じ
量子数はSU(2)L singletのクォークと同
じ
Messenger superfield
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Gaugino masses は 1-loop level で生成される
Sfermion mass squared は 2-loop level で生成される
メッセンジャー
e.g.
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Easy realization
[e.g., R. Kitano, 2006]
Vanishing cosmological constant V~0 からc=m3/2 MPL2
messengers
(UV completion: IYIT model)
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Zの一次の項がconstant termから出てくるMessenger mass
SUSY breaking mass
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Gauge Coupling Unificationよく知られているようにMSSMではgauge coupling
unificationが成り立つ
SM
MSSM
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In MSSMU(1)Y
SU(2)L
SU(3)C
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5(5bar) at the intermediate scale
Gauge coupling unificationは崩れない
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しかし、ミニマルなMessengerのGauge MediationではHiggs massを説明できない
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我々の模型Adjoint messenger
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Adjoint Messenger Model
No hyper charge
右巻きスレプトンとBinoに質量を与えるoctet, triplet messengerはBinoや右巻きスレプト
ンに質量を与えない!
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Gauge Coupling UnificationMSSMのmatter contentsではもちろんgauge
coupling unificationは成り立つ
Octetとtripletをいれてもnon-trivialにgauge couplingは統一する
:SU(3) octet :SU(2) triplet
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もちろん繰り込み群方程式は変わる
ここの部分@1-loop level
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color octet
SU(2) triplet
Two-loop RGE analysis
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color octet
SU(2) triplet
Two-loop RGE analysis
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A Gauge Mediation Model
No hyper charge
右巻きスレプトンとBinoに質量を与えるoctet, triplet messengerはBinoや右巻きスレプト
ンに質量を与えない!
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Gaugino mass
Sfermion mass
Definition
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Gaugino mass
Sfermion mass
Definition
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結果
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mstop~
この範囲ではconservativeにconsistent
@3-loop withH3m
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g-2 2σg-2 1σ
chargino mass Left-handed slepton mass
スタウがNLSPのとき、340GeV程度以上の質量が必要
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g-2 2σg-2 1σ
chargino mass Left-handed slepton mass
スタウがNLSPのとき、340GeV程度以上の質量が必要
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g-2 2σg-2 1σ
chargino mass Left-handed slepton mass
スタウがNLSPのとき、340GeV程度以上の質量が必要
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(tau dominated)
LHCがelectroweak productionのモードにについてもきつく制限をつけてきている
パラメーター空間の幾らかはすでに排除 されている
スレプトン
Wino
(stauのvacuum stabilityは大丈夫!)
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Comments on Cosmology
グラビティーノ問題
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熱浴で作られたNLSPはグラビティーノとSM particleに崩壊
例: stau -> tau + gravitinobino -> photon or Z + gravitino
そのLife-timeはgravitino massの2乗に比例して大きくなる。
NLSPが元素合成の時期(~0.01s-100s)やその後に崩壊するとBBNのpredictionを大きくかえてしまう
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NLSPの寿命Bino:
~100s for 150GeV Bino and 0.1GeV gravitino
cτ~ 1010 m collider scaleではstable
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BBNのPredictionからNLSPの残存量とgravitino massに制限がある
ざっくり、グラビティーノmassが0.1GeV以上だと危ない
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NLSPの崩壊でできるグラビティーノ
[Kawasaki, Kohri, Moroi, Yotsuyanagi, 2008]
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NLSPの崩壊でできるグラビティーノ
[Kawasaki, Kohri, Moroi, Yotsuyanagi, 2008]
our model
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まとめ
このmodelは全部OK!すぐみつかるか?死ぬ
Higgs boson mass, muon g-2 anomaly, LHC resultsを説明できる
SUSY modelは少ない。
CosomologyもOK