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Perspectives from Neutrinos
Hitoshi Murayama (UC Berkeley) TAU2002 Santa Cruz, September 12, 2002
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Window to beyond the Standard Model!
The Question So much activity on neutrino oscillation. Why are we doing this? Window to beyond the Standard Model! Hitoshi Murayama TAU2002
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Why Beyond the Standard Model
Standard Model is sooooo successful. But none of us are satisfied with the SM. Why? Because it leaves so many great questions unanswered Drive to go beyond the Standard Model Two ways: Go to high energies Study rare, tiny effects Hitoshi Murayama TAU2002
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Big Questions Charge quantization, anomaly cancellation, bizarre hypercharge assignments in the Standard Model Why are there three seemingly unrelated forces yet all gauge forces? Is there a unified description of all forces as Einstein dreamed about? Why is mW<<MPl? (Hierarchy Problem) Why are there three generations? Why physics determines the pattern of masses and mixings? What is the origin of CP violation? What is the origin of matter anti-matter asymmetry in Universe? Hitoshi Murayama TAU2002
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Rare Effects from High-Energies
Effects of physics beyond the SM as effective operators Can be classified systematically (Weinberg) Hitoshi Murayama TAU2002
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Unique Role of Neutrino Mass
Lowest order effect of physics at short distances Tiny effect (mn/En)2~(eV/GeV)2=10–18! Inteferometry (i.e., Michaelson-Morley)! Need coherent source Need interference (i.e., large mixing angles) Need long baseline Nature was kind to provide all of them! “neutrino interferometry” (a.k.a. neutrino oscillation) a unique tool to study physics at very high scales Hitoshi Murayama TAU2002
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March 2002 April 2002 with SNO Hitoshi Murayama TAU2002
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Historic Era in Neutrino Physics
Atmospheric nm is lost (>10s), converted mostly likely to nt (>99%CL) (SK, MACRO) Solar ne is converted to either nm or nt (>5.3s) (SNO) No dark side in solar neutrinos ;-( Explanation is probably neutrino oscillation Other possibilities: Neutrino decay, Violation of equivalence principle, spin resonant rotation, FCNC Possible, but models tend to be ugly Tiny neutrino mass: the first evidence for incompleteness of Minimal Standard Model Hitoshi Murayama TAU2002
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Now what? We are pretty much convinced that neutrinos have mass. Now what? What did we learn? What do we want to know more? Why are still working on neutrinos? Any connection to quark sector? Any connection to cosmology? Hitoshi Murayama TAU2002
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Outline Introduction Implications of Neutrino Mass Baryon Asymmetry
Neutrino and B connection Conclusions Hitoshi Murayama TAU2002
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Implications of Neutrino Mass
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Neutrinos are Left-handed
Hitoshi Murayama TAU2002
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Neutrinos must be Massless
All neutrinos left-handed massless If they have mass, can’t go at speed of light. Now neutrino right-handed?? contradiction can’t be massive Hitoshi Murayama TAU2002
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Standard Model We have seen only left-handed neutrinos and right-handed anti-neutrinos (CPT) Neutrinos are strictly massless in the Standard Model Finite mass of neutrinos implies that the Standard Model is incomplete! Not just incomplete but probably a lot more profound Hitoshi Murayama TAU2002
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Mass Spectrum What do we do now? Hitoshi Murayama TAU2002
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Two ways to go (1) Dirac Neutrinos:
There are new particles, right-handed neutrinos, after all Why haven’t we seen them? Right-handed neutrino must be very very weakly coupled Why? Hitoshi Murayama TAU2002
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Extra Dimensions All charged particles are on a 3-brane
Right-handed neutrinos SM gauge singlet Can propagate in the “bulk” Makes neutrino mass small (Arkani-Hamed, Dimopoulos, Dvali, March-Russell; Dienes, Dudas, Gherghetta; Grossman, Neubert) mn ~ 1/R if one extra dim R~10mm An infinite tower of sterile neutrinos Or SUSY breaking (Arkani-Hamed, Hall, HM, Smith, Weiner) Hitoshi Murayama TAU2002
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Two ways to go (2) Majorana Neutrinos:
There are no new light particles Why if I pass a neutrino and look back? Must be right-handed anti-neutrinos No fundamental distinction between neutrinos and anti-neutrinos! 0nbb Hitoshi Murayama TAU2002
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Seesaw Mechanism Why is neutrino mass so small?
Need right-handed neutrinos to generate neutrino mass , but nR SM neutral To obtain m3~(Dm2atm)1/2, mD~mt, M3~1015GeV (GUT!) Hitoshi Murayama TAU2002
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Neutrino mass may be probing unification:
Grand Unification M3 electromagnetic, weak, and strong forces have very different strengths But their strengths become the same at 1016 GeV if supersymmetry To obtain m3~(Dm2atm)1/2, mD~mt M3~1015GeV! Neutrino mass may be probing unification: Einstein’s dream Hitoshi Murayama TAU2002
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Rest In Peace Minimal SUSY SU(5) GUT
RGE analysis SuperK limit MHc> GeV Even if 1st, 2nd generation scalars “decoupled”, 3rd generation contribution (Goto, Nihei) MHc> GeV (HM, Pierce) Hitoshi Murayama TAU2002
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Avoiding Proton Decay Unfortunately, proton decay rate/mode is highly model-dependent more threshold corrections (HM, Pierce) Some fine-tuning (Babu, Barr) GUT breaking by orbifolds (Kawamura; Hall, Nomura) Depends on the triplet-doublet splitting mechanism, Yukawa (non-)unification Many modified models predict decay rate within 10–100 beyond limit Don’t give up! Hitoshi Murayama TAU2002
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Superpartners as probe
Of course, we need to see SUSY directly Once found, their masses tell us if unification is true (LHC and LC combined) Hitoshi Murayama TAU2002
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Baryon Asymmetry
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Big-Bang Nucleosynthesis
“Crisis” the past few years Thuan-Izotov reevaluation of 4He abundance Sangalia D abundance probably false Now concordance (Thuan, Izatov), (Burles, Nollett, Turner) Hitoshi Murayama TAU2002
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Cosmic Microwave Background
Hitoshi Murayama TAU2002
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Baryon Asymmetry Early Universe
10,000,000,001 10,000,000,000 They basically have all annihilated away except a tiny difference between them Hitoshi Murayama TAU2002
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Baryon Asymmetry Current Universe
us 1 They basically have all annihilated away except a tiny difference between them Hitoshi Murayama TAU2002
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Sakharov’s Conditions for Baryogenesis
Necessary requirements for baryogenesis: Baryon number violation CP violation Non-equilibrium G(DB>0) > G(DB<0) Possible new consequences in Proton decay Hitoshi Murayama TAU2002
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Anomaly washout Actually, SM violates B (but not B–L).
In Early Universe (T > 200GeV), W/Z are massless and fluctuate in W/Z plasma Energy levels for left-handed quarks/leptons fluctuate correspon-dingly DL=DQ=DQ=DQ=DB=1 D(B–L)=0 Hitoshi Murayama TAU2002
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Two Main Directions BL0 gets washed out at T>TEW~174GeV
Electroweak Baryogenesis (Kuzmin, Rubakov, Shaposhnikov) Start with B=L=0 First-order phase transition non-equilibrium Try to create BL0 Leptogenesis (Fukugita, Yanagida) Create L0 somehow from L-violation Anomaly partially converts L to B Hitoshi Murayama TAU2002
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Leptogenesis You generate Lepton Asymmetry first.
L gets converted to B via EW anomaly Fukugita-Yanagida: generate L from the direct CP violation in right-handed neutrino decay Hitoshi Murayama TAU2002
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Leptogenesis Two generations enough for CP violation because of Majorana nature (choose 1 & 3) Right-handed neutrinos decay out-of-equilibrium Much more details worked out in light of oscillation data (Buchmüller, Plümacher; Pilaftsis) M1~1010 GeV OK want supersymmetry Hitoshi Murayama TAU2002
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Does Leptogenesis Work?
Some tension with supersymmetry: unwanted gravitino overproduction Thermal production (TRH<109 GeV) Non-thermal production from preheating (TRH<105 GeV?) (Giudice, Riotto, Tkachev) (Kawasaki, Kohri, Moroi) Hitoshi Murayama TAU2002
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Leptogenesis Works! Coherent oscillation of right-handed sneutrino
(Bose-Einstein condensate) (HM, Yanagida+Hamaguchi) Inflation ends with a large sneutrino amplitude Starts oscillation dominates the Universe Its decay produces asymmetry Consistent with observed oscillation pattern Possible imprint on CMBR (Moroi) Hitoshi Murayama TAU2002
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Preheating Oscillating inflaton f (mass ~1013GeV)
The coupling to right-handed neutrino (M+gf)NN Mass vanishes at f=M/g non-adiabatic explosive production up to 1017GeV (Giudice, Riotto, Tkachev) The case of SUSY more subtle because f complex (Chacko, HM, Perelstein) Nonetheless can produce N up to 1015GeV Hitoshi Murayama TAU2002
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CP Violation Possible only if: Can we see CP violation?
Dm122, s12 large enough (LMA) q13 large enough Can we see CP violation? KamLAND JHF, OANuMI? ? May need better parameter determination using solar pp neutrinos Hitoshi Murayama TAU2002
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Can we prove it experimentally?
We studied this question at Snowmass2001 (Ellis, Gavela, Kayser, HM, Chang) Unfortunately, no: it is difficult to reconstruct relevant CP-violating phases from neutrino data alone But: we will probably believe it if 0nbb found CP violation found in neutrino oscillation EW baryogenesis ruled out Archeological evidences Hitoshi Murayama TAU2002
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Do we need seesaw? Natural explanation for small neutrino mass
Seesaw: mn~<H>2/M What about hn~mSUSY/M? (Arkani-Hamed, Hall, HM, Smith, Weiner) (Borzumati, Nomura) Suppresses neutrino Yukawa coupling Naturally light Dirac neutrinos Light right-handed neutrinos Hitoshi Murayama TAU2002
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Small Neutrino Mass From SUSY Breaking
<c>~mSUSY+q2 mSUSY MPl breaks SUSY and U(1)N, preserves U(1)L+N Heavy vector-like lepton doublets F, F* Coupling: MFF*+ cLF*+FNHu (HM, Pierce) Most general couplings allowed by lepton number and U(1)N number Exchange of F generates <c>LNHu/M Small Yukawa <c>/M Large and mixing (interesting for LHC/LC) Hitoshi Murayama TAU2002
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Dirac Leptogenesis Heavy doublets decay to FcL or NHu Decay produces asymmetry (≥2 gener.) Ln+LN=0, but Ln =–LN0 LN0 protected because of small Yukawa Ln partially converted to B Practially only now (T ~ mn ~ 103 K), Ln & LN equilibriate, but do not cancel any more (Dick, Lindner, Ratz, Wright) The explanation for small neutrino mass provides the origin of baryon asymmetry! (HM, Pierce) Hitoshi Murayama TAU2002
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Neutrino and B connection
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Large q23 and quarks Large mixing between nt and nm Make it SU(5)
Then a large mixing between sR and bR Mixing among right-handed fields drop out from CKM matrix But mixing among superpartners physical Interesting effects in bs transition? Constraints from meg etc prevent effects >10% if nR all degenerate Goto, Okada, Shimizu, Shindou, Tanaka; Moroi In naïve SO(10), O(1) effects on bs transition possible Chang, Masiero, HM Hitoshi Murayama TAU2002
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Consequences in B physics
CP violation in Bs mixing (BsJ/y f) (Chang, Masiero, HM) Addt’l CP violation in penguin bs (Bdf Ks) (Chang, Masiero, HM) Hitoshi Murayama TAU2002
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Bdf Ks ICHEP 2002 @ Amsterdam Compared to W. A. from J/y Ks
“sin2f1”=–0.73±0.64± (Belle) “sin2b”=–0.19±0.51± (BABAR) Compared to W. A. from J/y Ks +0.731±0.055 Maybe a hint (~2.7s) of SUSY flavor physics? But BdhKs, K+K–Ks? Even if the current “discrepancy” disappears, it remains true that this is a very reasonable place for new physics to show up. Hitoshi Murayama TAU2002
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Conclusions Neutrino physics going through a revolution
Naturally small neutrino mass requires major plumbing in the theory GUT/seesawMajorana neutrino Extra D/SUSY breakingDirac neutrino Leptogenesis gaining momentum Many viable models (coherent oscillation, preheating) Majorana neutrino not mandatory Interesting possible consequences of neutrino mixing in bs through GUT, models of flavor Need truly multi-prong approach Energy frontier, flavor experiment, non-accelerator experiments
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Signals of Electroweak Baryogenesis
~20% enhancements to Dmd, Dms with the same phase as in the SM (HM, Pierce) Find Higgs, stop, charginos (Tevatron?) Eventually need to measure the phase in the chargino sector at LC to establish it Hitoshi Murayama TAU2002
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(HM, Pierce) Hitoshi Murayama TAU2002
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B-physics Challenges Lattice QCD: need B parameters at 5%
then Bs mixing in business Vtd has been determined from B mixing Not legitimate in presence of SUSY loop Need to determine Vtd from other sides, angles Vub (from q2 distribution?) f1 (from BJ/Ks) possible help from f2 (from Bpp with isospin analysis) Hitoshi Murayama TAU2002
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