-- PeterKammel - 15 Feb 2007
* SET ALLOWTOPICCHANGE=Main.MuCapGroup ## TIIE distortions caused by wrong electron effect

## TIIE distortions caused by wall stop effect

## TDIE distortions caused by wall stop effect

## Dangerous wall stop fraction

|muSC |TDIE deadtime(ms)

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* SET ALLOWTOPICCHANGE=Main.MuCapGroup

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TIIE is determined from the muon drift distribution.

TIIE (muSC+muPCX+muPCY) | |

Tom analysis rep | obsolete |

Tom corrected | 8. |

Steve new analysis rep | 3.2 |

Tom's fast MC indicates a significant start time dependence of
the fitted lifetime, which is not observed in the data? Tom pointed out that we don't have enough statistics to see this.

The correction due to this effect scales with TIIE, in the same manner as the BB. Thus there relative importance is independent from TIIE.

Let us pessimistically assume TIIE= 8 ppm. The probability that a mu' fakes a good TPC stop after mu is TIIE * 0.63 * 21 kHz 0.024 ms = 2.5 ppm

Thus a contribution P(te-tmuSC)* 2.5 ppm is added to the undisturbed time distribution. According Tom's report, the most dangerous components are P(te-mu)= ... + 0.03 exp(-t/854ns) + 0.08 exp (-t/151ns). The total distorting amplitudes thus are 0.08 ppm for Al and 0.2 ppm for Fe, which should be ok.

According to Tom's estimate TDIE=126 ppm. I.e. the wall stop effect is 15x larger than for the TIIE case. Such a contribution would lead to 10 Hz start time sensitivity of the fitted lifetime.

Tom's later studied indicate show that this effect scales with the deadtime for deadtime <200 ns.

But Steve does not see the expected 100 Hz effect in the start time fits with 150 ns artificial deadtime nor does he find a change of the fitted lifetime of more than 3 Hz. Thus the TDIE seems to be at least an order of magnititude smaller than estimated by Tom.

Tom's evidence of deadtime in the drift plots comes from Figures 11 and 12 of his 5/9/06 report. I don't quite understand these figures, but it seems to me that a 8 ns deadtime cannot generate a long step in the spectra. Moreover, it is hard to trust such an analysis anyway, because we don't understand the tail at the end of the drift distribution.

Locally we discussed 3 potential sources for such a tail:

- TDIE due to mPC in the us range
- Long drift times for poor field drift paths in the TPC
- Physically later events (capture ...) misidentified as mu stop.

I did a quick study to determine the dangerous wall stop fraction. Assume that, for whatever reason, a fraction f_sup of incident muons stopping on the wall gets accepted. What is their effect on the lifetime?

For the study I used Tom's parametrization of the muSC/muPC1 - eSC 25 us PP time spectrum from his muon detector inefficiency study, add this spectrum scaled by f_sup to the nominal spectrum and fit with a 3 par fit. We should check how Tom's fit changes for impact cut constrained tracks.

The input parameters were: repeat=100 Stat=1.0e+11 fit stop=24.00 acc=1.0e-03

f_sup | del_lambda (Hz) | del_lambda (Hz) |
---|---|---|

(E-3) | start=0.1 us | start= 0.2 us |

10 | 81 | 67 |

5 | 40 | 34 |

1 | 7.8 +- 0.2 | 7.2 +- 0.2 |

0.5 | 4.3 +- 0.2 | 3.4 +- 0.2 |

The fit residuals for f_sup=5E-3 are shown below.

For a TDIE effect one has to account for this component (mu-e) and the smeared out one (mu-e'). The latter one is not accounted for in this study. Let us estimate the f_sup, for the case of TIIE and TDIEs.

overall | TIIE | R (kHz) | drift (ms) | +MWPC | f_sup (ppm) |

1.00E-02 | 21 | 0.024 | 5040.0 | ||

1.00E-03 | 21 | 0.024 | 504.0 | ||

1.00E-04 | 21 | 0.024 | 50.4 |

- 10E+01 21 1.00E-05 0.1 21.0

Topic revision: r2 - 2007-02-16 - PeterKammel

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