NEUTRINO PHYSIC ICS NEUTRINO PHYSIC ICS FROM COLLIDERS FROM - - PowerPoint PPT Presentation
NEUTRINO PHYSIC ICS NEUTRINO PHYSIC ICS FROM COLLIDERS FROM COLLIDERS e Renata Zukanovich Funchal Instituto de Fsica Universidade de So Paulo March 29, 2006 Rio de Janeiro, Brazil OUTLINE OUTLINE Neutrinos in the
Renata Zukanovich Funchal
Instituto de Física – Universidade de São Paulo March 29, 2006 Rio de Janeiro, Brazil
Neutrinos in the Standard Model Neutrinos Beyond the Standard Model Neutrino Oscillations Experimental Evidence Connection with Collider Physics
3 active neutrinos, singlets of SU(3)c U(1)em SU(2)L doublet CC interaction NC interaction
Z0 partial width to invisible final state @LEP (90's) → 3 active ν's Nν = 3.00 ± 0.07 (direct meas.) Nν = 2.994 ± 0.012 ( SM fit)
Γinv = Γz - Γhad - 3 Γlep
Γinv /Γlep = (12 π Rlep/MZ
2 σhad )½- Rlep - 3
Rlep = Γhad / Γlep
fermion masses arise from GSM → SU(3)c U(1)em Neutrinos are massless in the SM ! accidental symmetry
loop corrections
Dirac Neutrinos Majorana Neutrinos
Q = 0
Dirac Fermion : needs independent left and right chiral projections Majorana Fermion : needs only one independent chiral projection
Most General Neutrino Mass Term
1) SM effective low energy theory (have to consider nonrenormalizable terms) (Zij/MBSM) φ φ LLi LLj
the source of this term is some new heavy field (tree level or loop)
(M)ij = Zij v2/(2 MBMS)
spontaneous symmetry breaking
extensions of SM generally imply neutrino mass understand origin and smallness of neutrino mass term violates L (total and flavor) → lepton mixing
2) adding new fields =
νs1 ,νs2 ,νs3 ,νs4 ,νs5 ,...,νsm m sterile neutrinos
two types of mass term arise from renormalizable terms
complex & symmetric diagonilized by U matrix (3+m)
2) adding new fields
Transform as SU(2)L doublet: generated after spontaneous symmetry breaking from a Yukawa term Conserves total L (but not flavor L) Singlet of GSM : can appear as a bare mass term Breaks L (by 2 units) Majorana Mass Term Dirac Mass Term
MN >> > 〈φ〉 : see-saw mechanism [Ramond (79); Gell-Mann et al. (79);
Ya Yanagida (79)]
m1 ≈ MN m2 ≈ mD
2 /MN
mass eigenstates interaction eigenstates
Vl (3x3) unitary Vν (nxn) unitary
mass eigenstates interaction eigenstates
U mixing matrix
[Ponteco corvo (57), Maki, Nakagawa, Sakata (62)]
after travel distance L (L≈ t): neutrinos with mass mj, energy Ej can be described as
[Ponteco corvo (57), Maki, Nakagawa, Sakata (62)]
pi ≈ p ≃
j
p ≡ ≃≈E CP-violating term : neutrino (-), antineutrino(+)
[Ponteco corvo (57), Maki, Nakagawa, Sakata (62)]
pi ≈ p ≃
j
p ≡ ≃≈E
ν1 ν2 ν3
νµ νe ντ
θ12 = θsol θ23 = θatm ~ π/4 θ13 ~ 0
CP violating fase δ =? mixing matrix
∆m2
ij= m2 i - m2 j
∆m2
31= ∆m2 32+ ∆m2 21
∫ dEν φ(Εν) σ(Εν)ε(Εν)Pαβ(Εν) −−−−−−−−−−−−−−−−−−−−−−
∫dEν φ(Εν) σ(Εν) ε(Εν)
➲
If you see an oscillation signal with Posc = P ± δP then carve out an allowed region in (∆m2,sin22θ) plane.
➲
If you see no signal and limit
Posc < P @ 90% CL then carve out an excluded region in the (∆m2,sin22θ) plane.
P=sin22θ sin2(1.27 ∆m2 L/E)
➲
Flux dependence on azimuth is directly related to distance traveled
to search for
νµ disappearance observed !
∆m2 = 5×10−3 eV2 sin22θ = 1.0
P=1- sin22θ sin2(1.27 ∆m2 L/E)
Super-Kamiokande (1998)
Super-Kamiokande 2004 ∆m2
32 = 2.5 x 10 -3 eV2
sin2 2θ23= 1.
ν µ → ντ
K2K confirms !
Posc< 0.05
Experiment with reactor neutrinos in France
sin22θ13< 0.15 sin2θ13 < 0.04
1 kton D2 O - Sudbury, Canadá
Neutrinos arrive as different flavors
_
νe+ p → n + e+
_
∆m2
21= 7,9 x 10 -5 eV2
sin2 θ12 = ≈ 0,29
7.3 x 10-5 eV2 ≤ ∆m2
21 ≤ 9 x 10-5 eV2
1.5 x 10-3 eV2 ≤ |∆m2
32 | ≤ 3.4 x 10-3 eV2
Dominated by KamLAND Dominated by Atmospheric SK @ 90 % CL
sin θ13 < 0.20 (CHOOZ) 0.50 < sin θ12 < 0.61 (SNO) 0.6 < sin θ23 < 0.8 (ATM)
➲ production of heavy Neutrinos (N)
pp ⇒ l+ l'+ N l,l' =e,µ,τ @LHC [A. A . Ali, A A.V.B .Boriso sov, , N.B .B. . Zamorin (2001)] )] e+e- ⇒ N ν ⇒ l W ν @CLIC [F. d del Aguila, , J.A. A Aguilar-Saavedra (2005)] )]
➲ Bilinear R-parity violating
scenarios (AMSB,SUGRA) @Tevatron and LHC [Va Valle e et al., ., d de C Campos et al.] .]
pp ⇒ l+ l'+ N l=e,µ,τ @LHC [A. A . Ali, A A.V.B .Boriso sov, , N.B .B. . Zamorin (2001)] )] σ(pp ⇒ l+ l'+ N) = 0.8 (1-½δll' ) |UlN Ul'N|2 F(√s,mN) fb
√s = 14 TeV
e+e- ⇒ N ν ⇒ l W ν @CLIC [F. d del Aguila, , J.A. A Aguilar-Saavedra (2005)] )]
√s = 3 TeV
can detect heavy Majorana/Dirac N with mN = 1-2 TeV
Electroweak symmetry breaking: the two Higgs doublets Hd and Hu and the sneutrino acquire a vev. The symmetry is radiatively broken in AMSB and SUGRA
Dependence on AMSB parameters
Dependence on AMSB parameters
Dependence on parameters ε's and Λ's
Allow region in m0 x m1/2 for fixed BrpV parameters