Strong Electroweak Symmetry Breaking from K. Mönig , P. Krstonosic DESY - Zeuthen

Introduction In absence of light Higgs interaction among gauge bosons becomes strong at high energy Effective Lagrangian contains five CP conserving operators that can be directly probed in weak boson scattering Couplings are related to the scale of “new” physics by , and it’s necessary to do the multidimensional analysis in order to obtain the information on scale and dynamics of EWSB sector

Towards the complete and combined set of limits All possible weak boson scattering processes and sensitivity to the quartic anomalous couplings

e- e- SQRT(s)=800GeV polarization ( LL 80% ) and ISR Whizard event generator , hadronic final states signal process * **

W- W- analysis fragmentation with Pythia Simdet fast detector simulation Event selection : electron rejection within tracker E(e)>100GeV rej. E(e) < 100GeV cone rej. if E of energy flow > 75GeV and if E of energy flow > 100GeV and ask for min. 8 tracks , force to 4 jets , pair apply cuts : 2 tracks per jet , transverse momentum >35GeV 150< transverse energy <600GeV, recoil mass > 200GeV anti b tag ( rejection if Pt corrected vertex mass in a jet above 2.1GeV )

W- W- analysis Number of accepted events from a 1000 fb-1 sample Good separation of the signal and background lower Pt cut possible – to increase the sensitivity

W- W- analysis Signal (in blue) and background (in red) distributions over production and decay angle and total mass of the event ( signal on top of the background )

e+ e- SQRT(s)=800GeV polarization ( RL 40% 80% ) and ISR Whizard event generator , hadronic final states *

W+ W- analysis fragmentation with Pythia Simdet fast detector simulation Event selection : electron rejection within tracker E(e)>100GeV rej. E(e) < 100GeV cone rej. if E of energy flow > 75GeV and if E of energy flow > 100GeV and ask for min. 8 tracks , force to 4 jets , pair apply cuts : 2 tracks per jet , transverse momentum >40GeV 150< transverse energy <600GeV, recoil mass > 200GeV anti b tag ( rejection if Pt corrected vertex mass in a jet above 2.1GeV )

Z Z analysis fragmentation with Pythia Simdet fast detector simulation Event selection : electron rejection within tracker E(e)>100GeV rej. E(e) < 100GeV cone rej. if E of energy flow > 75GeV and if E of energy flow > 100GeV and ask for min. 8 tracks , force to 4 jets , pair apply cuts : 2 tracks per jet , transverse momentum >20GeV, 200< missing energy <600GeV, transverse energy >140GeV reject E(μ)>20GeV , |cos(Θmiss)|<0.99 (8.1o)

Number of accepted events from a 1000 fb-1 sample W+ W- in black , ZZ in bracket in red

Fit Binned Maximum Likelihood fit to the expected distributions for a SM sample (all quartic couplings equal zero) Coefficients obtained by recalculating matrix elements in 5 points in α4 α5 space for each event and solving system of equations: R is the ratio of the matrix element to the SM one. After separate analysis for signal processes double counted events were assigned to one or another sample according to the distance form M(V)+M(V) mass (V=W or Z)

Fit distributions Signal in blue background in red (example from W+W-) Events binned over absolute production angle, absolute decay angle and total event mass cross section information in form of the likelihood normalization

W- W- result 350 fb-1 sample Confidence level contour full line 68% CL dotted 90% CL

W+ W- result In red present Confidence level contours analysis in black * Strong Electroweak Symmetry Breaking Signals in WW Scattering at TESLA Roberto Chierici, Stefano Rosati and Michael Kobel LC-PHSM-2001-038 Confidence level contours Full line 68% CL dotted 90% CL

Z Z result set to zero Confidence level contours In red present Full line 68% CL dotted 90% CL In red present analysis in black * Strong Electroweak Symmetry Breaking Signals in WW Scattering at TESLA Roberto Chierici, Stefano Rosati and Michael Kobel LC-PHSM-2001-038 set to zero

Combined fit model independent limit on 1000fb-1 e+e- sample with 350fb-1 e-e- sample combined Confidence level contours, full line 68%CL dotted 90%

Only e+e- processes ( assuming equal zero i. e Only e+e- processes ( assuming equal zero i.e. SU(2)C conserving case ) combined combined from * Confidence level contours, full line 68%CL dotted 90%

e+e- & e-e- processes combined In red analysis results, in black combined fit for W+W- and ZZ only from * set to zero Confidence level contours, full line 68%CL dotted 90%

4D fit e+e- & e-e- processes combined, free parameters of the fit two parameter confidence level contours Confidence level contours, full line 68%CL dotted 90%

(assuming 1:3 luminosity) Does e- e- help? Results of combined fit for: in red 1ab-1 e+e- and 350fb-1 e-e- in blue 2ab-1 e+e- (assuming 1:3 luminosity) set to zero

(assuming 1:3 luminosity) fit result without process Results of combined fit for: in red 1ab-1 e+e- and 350fb-1 e-e- in blue 2ab-1 e+e- (assuming 1:3 luminosity) Only 90%CL contour plotted

Red 1σ limit (so far ) for LC LC and LHC Red 1σ limit (so far ) for LC GRAY 1 sigma limit for LHC integrated luminosity of 100fb-1, assumed that all SU(2)C violating couplings vanish. ( from Strongly interacting vector bosons at the CERN LHC: Quartic anomalous couplings, A.S. Belyaev, O.J.P. Eboli, M.C. Gonzalez-Garcia, J.K. Mizukoshi, S.F. Novaes and I. Zacharov, Phys. Rev. D59, p. 15022) Is something coming ? -4.7 -3.2 -1.6 1.6 3.2 4.7

Future improvement in Z Z analysis still possible results in easy to use and combine form W Z analysis in progress combined limits on full parameter set at 800GeV to be obtained soon going for 1TeV