An Inclusive Dilepton Analysis
(AIDA)

Sebastian Carron, Mircea Coca, Mark Kruse
Duke University
(for the CDF-II collaboration.)

Contents
 

            Motivation
            Basic Analysis Strategy
            Simplified likelihood function
            Signal, background expectations and data events
            Systematic errors
            Cross section results
            1 sigma confidence level cross sections contour plots
 


Brief description:

         A talk describing our analysis (power point)---->aida_coll_mtng.ppt
                                                                       (pdf version)---->aida_coll_mtng.pdf

           Public CDF note---->                (you do not need a CDF password)
 
 

                       In the CDF dilepton tt analysis in Run 1,  a small excess was observed in the
                     emu channel number of events:  7 observed events, 3.2 expected from SM
                     ( ~1.5 sigma effect)

                       In Run II a similar, but somewhat milder excess was observed in the tt cross
                     section counting expetiment measurement: 9 observed events,
                     6.8 expected from SM ( a bit less than a 1  sigma effect).

                      We are thus motivated to make a general study of the dilepton channel, to
                      evaluate the degree to which the Standard Model predictions agree with our
                      observations.

                      In this stage of our analysis we develop a methodology to extract simultaneously
                      the cross sections from the tt, WW and Z->tautau productions. In future incarnations
                      of this analysis we intend to extend our scope to make a generalized search for
                      exotic processes (Non Standard Model) in the dilepton channel.
 

                        For this analysis we apply the fewest cuts as possible, so that we can keep as much
                       physics when we do our fit as we can. Below is the list of cuts that we apply

                                                  
                                     Note: The track and calorimeter isolation cuts are on the
                                     leptons, as is the opposite sign requirements

                       These cuts essentially just select 2 isolated opposite charged leptons. Currently we
                        are able to measure from the dilepton channel the tt, WW and Z->tautau cross
                        sections. It must be noted that we only measure the Z->tautau cross section in the emu
                       channel, since in the ee and mumu channels we found that a Met Significance
                       (Met/Root(sum of the Et from the calorimeter towers)) was necessary to reduce our
                       otherwise  overwhelming Z->ee and Z->mumu Drell Yan background.

                        There are very few Standard Model processes contributing. We have tt, WW,
                        Z->tautau as our signal processes, and WZ, ZZ , Wgamma, Drell Yan and fakes
                        our background processes. Given that all of our Standard Model processes,
                        apart from 2 leptons only have neutrinos and jets as additional objects, then
                       it is natural to consider the Met-Njets distributions as the phase space where
                       we perform our fit to the data.

                       Below we see how, for our signal processes this Met-Njets phase space nicely
                        separates our signal contributions. All other contributions in are summed and
                        normalized to the expected number of events in the plots below, we also see the
                        data distributions for 200 pb-1 of collected data.

                       emu Met-N jets space

                     
                 Download --> Met-N jets in the emu channel
 

                  ee Met-N jets space

                      
                 Download --> Met-N of jets in the ee channel
 

                  mumu Met-N jets space

                       
                        Download --> Met-Njets in the mumu channel

                      Then from these distributions we fit the 3 signal contributions to the data in the
                      emu channel and the WW and tt cross sections in the ee+mumu channels (We
                      can't fit the Z->tautau cross section in the ee and mumu channels). For our fit we
                      use  likelihood minimization technique described in the next section.

                      Apart from the increased acceptance over counting experiments, our main
                      advantage in measuring the cross sections lies in the nice separation attained
                      in our fitted space.

 

                      Below there is a simplified description of the likelihood function we use to do our fit in the
                       Met-N of jets phase space. We show a simplified version of it without all of the actual
                       gaussian constraints we apply and without all of the fit parameters. We also only show
                       the function in the context of the emu phase space fit.

                      ------------------------------------------------------------------------------------
                      
                      
                        ---------------------------------------------------------------------------------------
 

                             Below we summarize the expected events for both our backgrounds and our signal
                      processes, as well as the number of events observed in 200pb-1 of data.  The expected
                      signal events are for comparison purposes, since we fit the cross sections from these
                      processes to the data. In our fit we fix the background processes to their expectations.

                          

                        Download-->  Summary of signal and background expectations, and data events

                    We distinguish between two basic types of systematic errors,  those that we include
                     in the likelihood function through Gaussian constraints such as acceptance systematics,
                     and luminosity systematics, and those that we and those that we add later in quadrature,
                     such as shape systematics.

                     Bellow we have two tables summarizing the sources and percentual strengths of the errors
                     relative to the cross section measurements, for these 2 types of systematic errors.

                   Acceptance systematics

                
               Download --> acceptance systematics table

                     Also there is a systematic error coming from the luminosity measurement of about 6%.
 

                  Shape systematics

                
                       Download --> Main shape systematic contributions

                     From our likelihood fit we measure the tt, WW and Z ->tau tau  cross sections, below we
                    see three different ways of presenting our results. We obtain the cross sections both
                    letting all of our contributions float simultaneously and with all of the signal contributions
                    fixed except for the one measured. We remind that we fit all three signal processes in the
                    emu channel, but only the tt and WW cross sections in the ee and mumu channels

                     We obtain significant statistical improvements over counting experiments with this
                     technique on all measurements
 

                 Version 1: Only displaying the cross sections results with all other contributions fixed
                                         including the number of events found from the fit.
                                
                                     Download --> cross sections version 1
 

                       Version 2: Same as above, but without the fitted number of events

                               

                                   Download --> cross sections version 2
 

                   Version 3:  Cross sections measured for all processes, both with all signal processes
                                     floating in the fit simultaneously, and with all but one fixed.

                                   

                                     Download --> cross sections version 3
 

                    Below are the 1 sigma confidence level limits contours for the cross sections in all three
                    projections for the emu fit, as well as for the ee+mumu fit.  It must be noted that these
                    plots are for the cross sections measured when all signal processes are allowed to float
                    in our fit together, and the limits do not include the shape systematic errors which are added
                    in quadrature.

                  For the emu fit

                
                     Download --> emu fit contour for WW and tt cross sections
 

                
                     Download -->  emu fit contour for the tt and Z->tautau cross sections

                
                     Download --> emu fit contour for WW and Z->tautau cross sections
 

                   For the ee+mumu fit

                
              Download --> ee+mumu fit contour for WW and tt cross sections



List of blessed tables and plots:

       Download tables and plots below:

         Met-N jets phase space plots (Where we do our fit)

                      emu phase space: emu_phasespace.eps
                      ee phase space  ee_phasespace.eps
                       mumu phase space mumu_phasespace.eps
 

          Monte Carlo expectation and data summary table---> aida_summary_table.eps

          3 versions of summarized results with different details

                    version 1----> aida_results_table_v1.eps
                    version 2----> aida_results_table_v2.eps
                    version 3----> aida_results_table_v3.eps
 

         1 sigma confidence level plots (do not include shape systematics)

                  emu fit 1 sigma confidence plots (for all signals floating)
                         contour_emu_ttww.eps
                         contour_emu_ttztt.eps
                         contour_emu_wwztt.eps
                 ee+mumu fit 1 sigma confidence plots (for all signals floating)
                         contour_eemumu_ttww.eps
 



For CDF collaborators:

         CDF NOTE: 6780   --->Search CDF notes (Need CDF password)

           CDF internal web page ----> CDF AIDA web page (Need CDF password)

           CDF internal questions and answers web page --->  CDF AIDA questions and answers (need CDF password)
 
 

Sebastian Carron- CDF (Duke University) 
email: carron@fnal.gov

Office (FNAL): (630)840 2724