Array calibration using CTC
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1 Array calibration using CTC CTA CCF Meeting, Barcelona June 206 Stanislav Stefanik (Charles University) with the help of Raquel de los Reyes, Konrad Bernlöhr, Joachim Hahn (MPIK Heidelberg)
2 Cherenkov Transparency Coefficient air shower n p atmospheric attenuation η n p = n p. η instrument optical efficiency μ n pe = n p. μ = n p. η. μ electronic amplification and conversion g n pe = n pe. g = n p. η. μ. g
3 Reminder: CTC for CTA CTC = N tel N tel i N M R i θ zen = 0 μ i. g i Problems applying the original scheme from H.E.S.S. to CTA: multiplicity factor M: corrects for different telescope rates in runs with various numbers of active telescopes does not account for different patterns of telescope layout hard coded as one mean value taken over all possible layout scenarios not a solution for CTA: >> 4 telescopes, different telescope types, enormous number of possible subarray layouts different trigger thresholds unrealistic look-up tables needed.7
4 Array inter-calibration (telescopes of the same type)
5 Influence of telescope pattern Lessons learned from H.E.S.S. data: (many thanks to people at MPIK and H.E.S.S. coll. for providing me with data and advice) expect t i = t j ; i, j = 4 (at least for MC) not true even for MC: not a hardware issue hidden feature: read-out rates depending on telescope positions positions are not equivalent if the pattern of active telescopes is not regular
6 Array inter-calibration: Used MC dataset Prod 3, La Palma zenith angle 20 azimuth angle 80 (protons coming from north) μ, g = const LST -4, MST 0,3,34 max. 4 active telescopes at a time start by reproducing the results for H.E.S.S.-I-like array, then continue with full CTA feasibility study
7 Influence of telescope pattern 4 LSTs at La Palma are approximately the same as H.E.S.S.-I layout (different size, not actually a square) good for cross-check between H.E.S.S. and CTA
8 Influence of telescope pattern LST 2 & 3: non-equivalent positions
9 Influence of telescope pattern LST 2 & 3: non-equivalent positions
10 Influence of telescope pattern LST 2 & 3: non-equivalent positions
11 Influence of telescope pattern LST 2 & 4: equivalent positions
12 Influence of telescope pattern LST 2 & 4: equivalent positions
13 Array geometry factor Example: LST 3 not working D = d 2 + d 4 = 2d 2 D 2 = d 2 + d 24 = + 2 d 2 D 4 = d 4 + d 42 = D 2 f i = D i min(d) f = D D = f 2 = f 4 = D 2 = + 2 D 2 R i (corr. ) = f i. R i caution: only illustration + 2 valid for La Palma not exact square
14 Array geometry factor Example: LST 3 not working D = d 2 + d 4 = 2d 2 D 2 = d 2 + d 24 = + 2 d 2 f i = D i min(d) D 4 = d 4 + d 42 = D 2 R i (corr. ) = f i. R i
15 Array geometry factor Example RMS for multiplicity 3 Tel. pair Old New, , ,
16 Array cross-calibration (telescopes of different type)
17 Array cross-calibration F E = N 0 E E R > E t = de E th F E. A eff E A eff E = dω = dr 0 r. P p r, E P p r, E = N trig r, E N MC r, E E t A mir CTC N R M i θ zen = 0 μ i. g i.7 N f tel.pat.. g Amir R i θ zen = 0 μ i. g i.7
18 Array cross-calibration E t A mir Tel. type Mean trigger rate Mirror [m 2 ] LST MST SST CTC N R M i θ zen = 0 μ i. g i.7 N f tel.pat.. g Amir R i θ zen = 0 μ i. g i.7
19 Array cross-calibration E t A mir.?? Tel. type Mean trigger rate Mirror [m 2 ] LST MST SST CTC N R M i θ zen = 0 μ i. g i.7 N f tel.pat.. g Amir R i θ zen = 0 μ i. g i.7
20 Array cross-calibration NOT corrected CTC correlation for LST, MST 3
21 Array cross-calibration corrected CTC correlation for LST, MST 3
22 Array cross-calibration NOT corrected CTC correlation for LST, MST 0
23 Array cross-calibration corrected CTC correlation for LST, MST 0
24 Array cross-calibration NOT corrected CTC correlation for LST 3, MST 0
25 Array cross-calibration corrected CTC correlation for LST 3, MST 0
26 Array cross-calibration corrected (pattern only) CTC correlation for LST 3, MST 0
27 Next steps variations in muon efficiency and gain different trigger conditions throughout the observation? H.E.S.S. MC findings: read-out rates larger in specific directions possible correlation with geomagnetic field must examine: different azimuth/zenith angle combinations different B-field strengths: La Palma vs Paranal
28 Summary Inter-calibration: exchanged hard-coded M for f tel.pat. which is easily derived inter-telescope CTC ok? probably yes, at least for small numbers of telescopes with comparable separations need to analyze larger dataset to verify RMS of per-telescope CTCs reduced from ~2-4% to ~6%
29 Summary Cross-calibration: ad hoc correction for dish size only partially successful cannot treat the dish size irrespective of the telescope position generalization necessary for effective cross-calibration Overall: investigate other possible systematics new MC simulations crucial for further feasibility study but it is the only investment needed for this method zenith / azimuth angle hardware conditions
30 Back-up
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