More sophisticated statistics for surgical cuts

This uses the same method as before (counting clusters, e+, e-, mu+, and mu-, taking the best bins).  This time, I’ve added in the charge correlation of leptons and clusters: one cluster with an opposite-signed soft lepton inside goes in the ‘qCorr = -1’ bin, a cluster with two opposite-sign leptons (e.g. a cluster consisting of only an e+ and a mu-) goes in the -2 bin, etc.

Continue reading More sophisticated statistics for surgical cuts

Correlation Matrices for Track/pi0 Cluster Variables

Below are 3 correlation matrices for track/pi0 cluster variables.  The matrices are formed from

  1. The signal sample.
  2. The W+jets sample.
  3. The difference between the signal and W+jets correlation matrices.

Correlation Matrices for Clusters

Notice that the signal sample matrix is more anti-correlated across all variables than the W+jets sample.  All variables exhibit |rho|>10% for all combinations, i.e. there are no highly uncorrelated pairs of variables.

–Dan

Cut Set & N(live) Table Using Soft Electrons

I have implemented a cut set based on this one except with the additional requirements that the event contains a soft electron and that the charge correlation for clusters containing an electron be negative. The requirements are as follows:

  • met>20 GeV
  • ht>100 GeV
  • at least 1 soft electron
  • at least 1 track/pi0 cluster with pT>10 GeV and N(live)<7.
  • if the soft electron is inside a cluster, qCorr<0.

The expected signal and background for these cuts are

N(signal) N(W+jets) N(ttbar) N(t-channel single top) Significance
9 2406 421 47 0.17

I have also made tables of N(live), N(tracks), N(pi0s) for the following cases:

  • Event contains a soft electron but it is not inside the cluster. Table is here.
  • Event contains a soft electron and it is inside the cluster; no cut on the charge correlation. Table is here.
  • Event contains a soft electron and it is inside the cluster and qCorr<0. Table is here.

The 5 most significant N(live), N(tracks), N(pi0s) bins for the 3 cases are listed below.

Soft Electron Outside Cluster

N(live) N(tracks) N(pi0s) N(signal) N(bg) Significance
2 2 0 0.65 230 0.043
3 2 2 0.30 66 0.037
2 3 0 0.37 105 0.036
1 1 3 0.03 0.66 0.035
2 2 1 0.38 121 0.034

Soft Electron Inside Cluster; no cut on qCorr

N(live) N(tracks) N(pi0s) N(signal) N(bg) Significance
2 2 0 1.12 66 0.14
2 2 1 1.12 126 0.10
1 1 1 0.77 66 0.09
3 2 2 0.40 47 0.059
3 2 3 0.24 22 0.051

Soft Electron Inside Cluster; qCorr<0

N(live) N(tracks) N(pi0s) N(signal) N(bg) Significance
2 2 0 1.02 47 0.15
2 2 1 0.92 71 0.11
3 2 3 0.23 12 0.065
2 2 2 0.34 29 0.063
3 2 2 0.36 33 0.062

Notice that in all of the cases, the most significant bins are with N(live)<4. Also notice that the cut on charge correlation cuts 29% and 44% of the background in the (2,2,0) and (2,2,1) bins, respectively, while barely taking any signal away at all. This is intuitive in the 2 track bin, since one of the tracks must be the soft electron and therefore the other one is a 1-prong tau decay. Since the taus are coming from a neutral a0, the 2 track bin is the most pure for this cut. --Dan

N(live) Table

Here is a table that breaks down the number of signal and background events w.r.t. N(live), N(tracks), and N(pi0s). N(live) is as defined before. N(tracks) and N(pi0s) are the tracks and pi0s in a given cluster with the given N(live). The most signal-like bins are:

N(live) N(tracks) N(pi0s) N(signal) N(bg) Significance
2 4 9 0.03 0 0.054
2 2 1 2.63 7077 0.031
2 2 0 6.32 44781 0.03
2 2 2 1.55 2959 0.029
3 2 2 2.28 6436 0.028
3 2 3 1.26 2416 0.026
2 1 2 2.43 10771 0.023

Notice that the most “signal-like” entries are in N(live)=2 and N(live)=3.

I want to do 2 more things with this table:

  1. Change the counting of N(tracks) to count the soft tracks in the cluster cone that do not pass threshold. I did a similar thing earlier when calculating N(live).
  2. Require the presence of a soft electron inside the cluster and recalculate the table. I expect clusters containing a soft electron to be more signal-like. We might be able to get further separation for those SE-tagged clusters by looking at N(live), N(track), N(pi0).

–Dan

Cut Set Using N(live)

I implemented a cut set similar to Cut Set 1, shown here .

The cuts are as follows:

  • tight central lepton pT>20 GeV
  • Raw Met>20 GeV
  • Raw Ht>100 GeV
  • at least 1 track/pi0 cluster with
    • N(live)<7
    • pT>10 GeV

The results of this cut set compared to the cut set 1 (the same except for the N(live) cut) are

Source Number in Cut Set 1 Number in Cut Set 1 + N(live) Cut
Signal 46.6 44.8
W+jets 208713 169236
ttbar 3018 2502
Single Top (t-channel only) 518 373
Total Background 212250 172112

We have reduced the signal by 3.8% and the background by 19%.  Clearly, this cut is a keeper.

CES absolute Energy Calibration

During this week’s Tau Group meeting, I showed a comparison of CES Shower energy and the momentum of the matched track, in a sample of conversion electrons.  This number looked fine in 0h data, but looked much worse in 0i data. (The one that I’ve been working on the calibrations for.):

SE_Energy

Pasha suggested that, in order to track down this problem, I start by looking at high-Pt electrons. (The same sample the CES calibrations had been trained on) I believe that I’ve tracked down the problem. Continue reading CES absolute Energy Calibration

NMSSM Higgs Search