Search for tau-e (tau-mu) flavor mixing at a linear collider Shinya KANEMURA (Osaka Univ.) with Yoshitaka KUNO, Toshihiko OTA (Osaka Univ) Masahiro Kuze (Tokyo Inst. Tech.) ACFA’07, Nov 11. 2004, at National Taiwan University Introduction LFV is a clear signal for physics beyond the SM. e ⇔μ μ⇔τ τ⇔e Neutrino oscillation may indicate LFV among charged leptons. In SUSY models, LFV can naturally appear. Borzumati, Masiero Hisano et al. In this talk, we discuss tau-associated LFV in SUSY models τ⇔e & τ ⇔μ The Higgs mediated LFV is proportional to the Yukawa coupling ⇒ Tau-associated LFV processes. It is less constraind by current data as compared to theμ⇔e mixing μ→eγ μ→３e μTi→eTi τ→μγ τ→３μ τ→μη 1.2 ×10＾（－11） 1.1 ×10＾（－12） 6.1 ×10＾（－13） 3.1 ×10＾（－7） 1.4-3.1 ×10＾（－7） 3.4 ×10＾（－7） LFV in SUSY LFV is induced at one loop due to slepton mixing Gauge mediation : Higgs mediation : Higgs mediation does not decouple in the large MSUSY limit LFV Yukawa coupling Slepton mixing induces LFV in SUSY models. κij = Higgs LFV parameter Babu, Kolda; Dedes,Ellis,Raidal; Kitano, Koike, Okada Consider that MSUSY is as large as O(1) TeV with a fixed value of |μ|/MSUSY While gauge mediated LFV is suppressed, the Higgs-LFV coupling κij can be sufficiently large . Babu,Kolda; Brignole, Rossi mSUSY ～ O(1) TeV Search for Higgs mediated τ- e & τ- μ mixing Tau’s rare decays τ→eππ （μππ） τ→eη (μη) τ→μe e (μμμ)、 …. In near future, τ decay searches will improve the upper limit by 1-2 orders of magnitude. Other possibilities ? Higgs decays into a tau-mu or tau-e pair The DIS process e Ｎ （μＮ） →τＸ by a fixed target experiment at a LC (μＣ) Higgs boson decay After the Higgs boson is found, we can consider the possibility to measure the LFV Higgs couplings directly from the decay of the Higgs bosons. LHC Assamagan et al; Brignole, Rossi LC Kanemura, Ota, et al., PLB599(2004)83. Search for h →τμ (τe) at LC: Simple kinematic structure (Esp. Higgssrahlung process) Precise measurements: property (mh,Γ,σ,Br,…) will be thoroughly measured Less backgrounds Higgs Production at a LC ～10^5 Higgs produced Decay branching ratio (h→τμ) The branching ratio of 10^(-4) – 10^(-3) is possible. Signal The process can be identified by using Z recoil: Theτmomentum is reconstructed by using Ecm, mh, pZ and pμ It is not required to measure τ The # of the signal event 11 event for leptonic decay of Z 118 event for hadronic decay Backgrounds Feasibility Resolution of Z momentum Signal / Fake 118 / 230 events (Z →jj、 δ＝３GeV) 11 / 8 events (Z→ll, δ＝1GeV) For some specific parameter region, h → τμ （τe） can be studied at a LC. No big advantage, although it depends on machine. Alternative process for search of the Higgs LFV coupling? At future ν factories (μ colliders) , 10^20 muons of energy 50 GeV (100-500GeV) can be available. DIS μＮ→τＸ process τ μ（e） h, H, A q Sher, Turan, PRD69(2004)302 Kanemura, et al, hep-ph/0410044 q N X At a LC (Ecm=500GeV L=10^34/cm^2/s) 10^22 of 250GeV electrons available. We here consider the LFV DIS processes eＮ→τＸ by using the electron (positron) beam of a LC A fixed target experiment option of LC Cross section in SUSY model h, H, A Each sub-process e q (μq) →τq is proportional to the d-type quark masses. For the energy > 60 GeV, the total cross section is enhanced due to the b-quark sub-process Eμ＝50 GeV 10^(-5)fb 100 GeV 10^(-4)fb 250 GeV 10^(-3)fb τ μ（e） q q N X CTEQ6L Energy distribution for each angle From the l L beam, τR is emitted to the backward direction due to (1 ー cosθCM) 2nature in the CM frame. In Lab-frame, tau is emitted forward direction but with large angle with a PT. E＝100 GeV Lab-frame μL θ Target E＝500 GeV τR Signal Number of taus (case of electron beam) E＝250 GeV, L =10^34 /cm^2/s, ⇒ 10^22 electrons (positrons) in a SUSY model with |κ3i |^2=0.3×10^(-6): σ=10^(-3) fb 10^5 of τleptons are produced for the target of ρ=10 g/cm^2 Naively, non-obervation of the e N → τ X process may improve the current upper limit on the e-τ-Φ coupling by around 4-5 orders of magnitude We may consider its hadronic products as the signal τ→(π、ρ, a1, …)＋ missings # of hadrons ≒ 0.3×(# of tau) τR νL π Bullock, Hagiwara, Martin Hard hadrons emitted into the same direction as the parent τ’s Backgrounds Hadrons from the target (N) should be softer, and more unimportant for higher energies of the initial e or μ beam. Hard leptons from l N→ l X would be be a fake signal via mis-ID of l as π. (l = e or μ) Rate of mis-ID Emitted to forwad direction without large PT due to the Rutherford scattering 1/sin^4(θcM/2) ⇒ PT cuts Other factors to reduce the fake Realistic Monte Carlo simulation is necessary. Summary Possibility of measuring LFV via e N→τX by using the high energy electron beam of a LC with a fixedtarget. Ecm=500GeV ⇒ σ＝10^(-3) fb L=10^34/cm^2/s ⇒ 10^22 electrons available 10^5 of taus are produced for ρ=10 g/cm^2 Non-observation of the signal would improve the current limit on the τ-e-Φ coupling by 10^(4-5). The signal would be hard hadrons from τ→πν、ρν, a1ν, .... , which go along the τdirection. Main background: mis-ID of e from eN→eX. Background simulation will be done.