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Alignment Position errors for Collisions

  • Transverse plane mean radius divided per subdet:

  • CMS Tracker APEs are given by specifying 9 number in a error matrix form, but current APEs are spherical, i.e. correlations between coordinates are neglected, and only diagonal terms are present in the matrix: :

   \begin{displaymath} V_{APE} =  \left(  \begin{array}{lll}   d_{xx} & d_{xy} & d_{zx} \\   d_{xy} & d_{yy} & d_{zy} \\   d_{zx} & d_{yz}  & d_{zz} \\   \end{array} \right) =  \left(  \begin{array}{lll}   R^2_{ape} & 0 & 0 \\   0 & R^2_{ape}  & 0 \\   0 & 0  & R^2_{ape}  \\   \end{array} \right)  \end{displaymath}  (1)

  • The radius of Tracker APEs $ R_{ape} $ are determined via:

    \begin{displaymath}   \left\{  \begin{array}{ll}   |\langle \Delta X_{loc} \rangle| > 3 R_{old}  &amp; R_{ape} =   |\langle \Delta X_{loc} \rangle| \\   N<N_{min}  &amp; R_{ape} = R_{old} \\   N_{min} < N < N_{max}  &amp; R_{ape} = k R_{new} \cdot \sqrt{\frac{N}{N_{max}}} \\   N>N_{max}  &amp; R_{ape} =  k R_{new} \\   \end{array} \right.   \end{displaymath} (2)

where $\langle \Delta X_{loc} \rangle $ is the median of local residuals in the sensitive coordinate, $N$ is the number of hits per module collected during the data-taking, and $(N_{max},N_{min},k)$ are parameters tuned on data in order to have pulls of residuals $ r/ \sigma_{r} \simeq 1 $.

* The parameter $ R_{new} $ is determined in the following way:

    \begin{displaymath}  \left\{  \begin{array}{ll} TIB/TOB &amp; R_{new} = \delta u \oplus \frac{L}{4} \delta \gamma \oplus C \delta v \\ Endcaps/PXL &amp; R_{new} = |\langle \Delta X_{loc} \rangle|  \\  \end{array} \right.  \end{displaymath}  (3)

Record 80X_dataRun2_HLT_frozen_v12 74X_dataRun2_HLTValidation_Queue Remarks
MagFieldConfigRcd (3.5T) MagFieldConfig_RI71212_RII130503_3_5T MFConfig_130503_Run2_3_5T  
(2015-05-27 08:16:18) 220641
(2015-02-06 22:39:05) 1
MagFieldConfigRcd (3.8T) MagFieldConfig_RI90322_RII130503_3_8T MFConfig_120812_Run2_3_8T  
(2015-05-06 16:50:44) 220641
(2015-02-06 22:38:42) 1

Where $ \delta u,\delta \gamma,\delta v $ are the remaining misalignment in the $ u,\gamma,v $ coordinates, estimated by introducing random misalignment (normally distributed) in the simulation to match the residuals and DMRs as observed in data.

Presentations at the Tracker Alignment Meeting:

Tracker Alignment Validation with unbiased Primary Vertices

Twiki page with recipe to run the PV validtion: Twiki

Presentations at the Tracker Alignment Meeting:

Vertex residuals as observed in Dec09 Collision data:

  • Transverse plane residuals:

  • Longitudinal direction residuals:

Vertex residuals as observed in 2010 sqrt(s)=7TeV Collision data:

J / Psi Analysis

The production cross-section is evaluated as:

    \begin{displaymath} \frac{d\sigma (pp \to J/\Psi)}{dp_T} \times Br(J/\Psi \to \mu^{+}\mu^{-}) = \frac{N^{fit}_{J/\Psi }(p_T; {\cal{A}}, \epsilon)}{\int {\cal{L}} dt \cdot \Delta p_T}   \end{displaymath} (4)

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FirstName Marco
LastName Musich
Telephone +390116707098
Address Via P. Giura 1, 10125 - Torino
Comment Ph. D. Student at Torino University / INFN
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Topic attachments
I Attachment History Action Size Date Who Comment
PNGpng APE_3x2_dxxdyy_Subdets.png r1 manage 16.2 K 2010-02-15 - 09:41 MarcoMusich Transverse plane mean radius
PNGpng HistoMeansSigmasDxy_DATA.png r1 manage 23.6 K 2010-02-15 - 09:13 MarcoMusich Transverse plane residuals
PNGpng HistoMeansSigmasDz_DATA.png r1 manage 22.9 K 2010-02-15 - 09:14 MarcoMusich Longitudinal direction residuals
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Topic revision: r14 - 2016-06-09 - MarcoMusich
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