Contents 1. Introduction 2. Conclusions 3. Analysis 4. Results on operators 5. Conclusions

1. Presice measurement of the Higgs-boson electroweak couplings at Linear Collider and its physics impacts Yu Matsumoto (KEK) 2009,1,21 ILC Physics Meeting @ KEK V Contents 1. Introduction 2. Conclusions 3. Analysis 4. Results on operators 5. Conclusions V H In collaboration with K.Hagiwara (KEK) and S.Dutta (Univ. of Delhi)

2. 1-1. Motivation Tevatron LEP SM ・W, Z-boson discovery ・top-quark discovery ・W,Z boson precision measurements New physics theories ・Heavy Higgs or Higgsless scenarios ・Light Higgs scenarios LC LHC NP1 NP2 NP9 NP10 NP3 NP5 ・LHC can probe light Higgs scenario ・precision measurements of the Higgs-boson properties NP11 NP4 NP12 NP6 NP7 NP13 NP8

3. 1-2. Effective Lagrangian with a Higgs doublet New physics can be represented by higher mass dimension operators contribute to majonara neutrino mass contribute to four fermion coupling (Proton decay, etc) purely gauge term (Triple gauge coupling, etc) Higgs electroweak couplings We focused on this physics We can write the effective Lagrangian including Higgs doublet as New physics effects. Here we consider only dimension 6 and the operators are …

4. 1-3. dimension 6 operators including Higgs 2 point function, TGC, vertices include Higgs boson Precision measurement (SLC, LEP, Tevatron) Triple gauge couplings (LEP2,Tevatron) Dimension 6 operators LHC LC are calculable in each particular models

5. 2. Conclusions The most accurately measured combinations of dim-6 operators are sensitive to the quantum corrections (EWPM) (ILC our result) ILC experiment can constrain completely different combinations of dim-6 operators from EWPM We can select new physics by multi-dimensional operator space These accuracy of the combinations are not affected from systematic errors ex) luminosity uncertainty beam polarization plays an important role to obtain high accuracy High energy experiments ( ) are important for the measurements of couplings

6. 3-1. Optimal observable method The differential cross section can be expressed by using non-SM couplings is 3-body phase space number of event in the k-th bin for experiment and theory can be expressed in terms of non-SM couplings if is given, we can calculate The large discrepancy between and makes larger errors become small

7. 3-2. Operators and Vertices, Form Factors We exchange the operators into HVV interaction vertices as the experimental observables ※are the linear function of ： EW precision, S and T parameter ： Triple Gauge Couplings

8. 3-3. Cross section WW-fusion double-tag eeH ZH production double-tag eeH single-tag eeH ZH production no-tag (ee)H ～　ILC phase I phase II

9. 3-4. Luminosity uncertainty Here we set L is true luminosity can be redefined as Luminosity uncertainty is absorbed into errors The correlation between and is generated through luminosity uncertainty The measurement of doesn’t depend on

10. 4-1. constraint on dim-6 operators (1) ① EWPM results 1 dimensional ② ILC-I+ILC-IIwith 5 dimensional ③ ILC-I with ④ ILC-I (250,350GeV) with

11. 4-2. Constraints on dim6-Operators (2) combining with LEP and future experiments EWPM will be also improved at ILC experiments @ LEP2,Tevatron (present EWPM) if + @ ILC + @ GigaZ The results combining our HVV measurements at ILC and EWPM at ILC are

12. 5. Conclusions We obtain the sensitivity to the ILC experiment on 8 dim-6 operator space by using Optimal observable method The t-channel processes of and at high energy experiment are important to measure and couplings Polarization is important to obtain high accurate measurement on coupling Luminosity uncertainty affects measurements, but only one combination of the operators, is affected The expected accuracy of the measurements will be sensitive to quantum corrections as same accuracy as EWPM. And its constraints are in the multi dimensional space.