Crab Pulsar analysis v0.9.12 AlvaroMas

General information

• Name of the source: Crab Pulsar
• Brief description of the source:

- Object type : Pulsar

- RA, Dec in deg (ICRS): 83.63, 22.01

People involved in this analysis (LST-1 and new Fermi-LAT analysis)

• Álvaro Mas-Aguilar
• Marcos López-Moya

Run selection

• Run selection with the use of the notebook from Abelardo Moralejo [1]
• Atmospheric transmission extracted from ELOG
• In total 403 runs selected, obstime 113.1 hours

• Summary of selection cuts:

- Zenith < 60 deg

- elapsed_time > 2 min

- transmission_cut > 0.60

- pedestal charge std dev < 1.9 p.e.

- Cosmic rate > 3000 ev/s

- Cosmic rate( > 10 p.e.) > 25-15 ev/s (depends on zd)

- Cosmic rate( > 30 p.e.) > 3-4 ev/s (depends on zd)

• List of selected runs:

1 : 2020-09-18 : [2759]
2 : 2020-11-17 : [2914, 2919]
3 : 2020-11-18 : [2922, 2923, 2924, 2925, 2929, 2930, 2931, 2932, 2933, 2934]
4 : 2020-11-19 : [2949, 2950, 2959, 2961]
5 : 2020-11-20 : [2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977]
6 : 2020-11-21 : [2988, 2989, 2990, 2991, 2992]
7 : 2020-11-22 : [3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012]
8 : 2020-12-06 : [3087, 3088, 3089, 3090]
9 : 2020-12-07 : [3093, 3094, 3095, 3096]
10 : 2020-12-10 : [3143]
11 : 2020-12-11 : [3169, 3170, 3171]
12 : 2020-12-13 : [3231, 3232, 3233, 3234, 3235, 3236, 3237]
13 : 2020-12-14 : [3243, 3244, 3245]
14 : 2020-12-15 : [3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279]
15 : 2020-12-17 : [3318, 3319, 3320, 3321]
16 : 2020-12-18 : [3328, 3329, 3330]
17 : 2020-12-19 : [3338, 3339, 3340]
18 : 2020-12-20 : [3355, 3356]
19 : 2020-12-21 : [3373]
20 : 2020-12-22 : [3382, 3383, 3384, 3385]
21 : 2021-02-11 : [3598, 3599, 3600, 3601]
22 : 2021-02-12 : [3615]
23 : 2021-02-13 : [3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639]
24 : 2021-02-15 : [3672, 3673, 3674, 3675, 3676, 3677]
25 : 2021-02-16 : [3706, 3707, 3708, 3711, 3712]
26 : 2021-03-09 : [3925]
27 : 2021-03-11 : [3961]
28 : 2021-03-12 : [3980]
29 : 2021-03-13 : [4007, 4008]
30 : 2021-03-14 : [4031, 4032, 4033, 4034]
31 : 2021-03-15 : [4067, 4068, 4069, 4070, 4071, 4073, 4074]
32 : 2021-03-16 : [4086, 4087, 4088, 4089, 4090, 4091, 4092]
33 : 2021-03-17 : [4125, 4126]
34 : 2021-09-03 : [6012, 6013, 6014, 6016]
35 : 2021-09-04 : [6041, 6042, 6043, 6044, 6045]
36 : 2021-09-05 : [6069, 6070, 6071, 6072, 6073]
37 : 2021-09-13 : [6279]
38 : 2021-09-14 : [6301, 6302, 6304]
39 : 2022-02-04 : [6872, 6873, 6874, 6875]
40 : 2022-02-05 : [6892, 6893, 6894, 6895, 6896, 6897, 6898]
41 : 2022-02-23 : [7097, 7098, 7099, 7100, 7101, 7102, 7105, 7106]
42 : 2022-02-28 : [7133, 7136, 7137, 7138, 7139, 7140]
43 : 2022-03-01 : [7161, 7168, 7169, 7170, 7171, 7172]
44 : 2022-03-02 : [7195, 7196, 7197, 7199, 7200, 7201]
45 : 2022-03-03 : [7227, 7228, 7231, 7232, 7233, 7234, 7235, 7236, 7237, 7238]
46 : 2022-03-04 : [7253, 7254, 7255, 7256]
47 : 2022-03-05 : [7274, 7275, 7276, 7277, 7278, 7279, 7280, 7281]
48 : 2022-03-06 : [7301, 7302, 7303, 7304, 7305]
49 : 2022-03-25 : [7465]
50 : 2022-09-21 : [9274]
51 : 2022-09-29 : [9434, 9435, 9436, 9437, 9438]
52 : 2022-10-05 : [9596]
53 : 2022-10-25 : [9903, 9904, 9905, 9907]
54 : 2022-10-29 : [9996, 9997, 9998, 9999, 10001, 10002]
55 : 2022-11-19 : [10880, 10881, 10882, 10883]
56 : 2022-11-20 : [10909, 10910, 10911, 10912, 10913, 10914, 10915, 10916, 10917, 10918, 10919]
57 : 2022-11-21 : [10946, 10947, 10948, 10949, 10950]
58 : 2022-11-22 : [10981, 10982, 10983, 10984, 10985, 10986, 10987, 10988, 10989]
59 : 2022-11-24 : [11014, 11015, 11016, 11017, 11018, 11019]
60 : 2022-11-26 : [11087, 11088, 11089, 11090, 11091, 11092, 11093, 11094, 11095]
61 : 2022-11-27 : [11117, 11118, 11119, 11120, 11121, 11122, 11123, 11124, 11125]
62 : 2022-12-15 : [11373, 11374]
63 : 2022-12-16 : [11402]
64 : 2022-12-17 : [11427, 11428, 11429, 11430, 11431, 11432, 11433] 
65 : 2022-12-18 : [11463, 11464, 11465, 11466, 11467, 11468, 11469, 11470, 11471, 11472, 11473]
66 : 2022-12-19 : [11486, 11487, 11488, 11489, 11490, 11491, 11492, 11493, 11510, 11511, 11512, 11513]
67 : 2022-12-21 : [11560, 11561, 11562, 11563]
68 : 2022-12-22 : [11575, 11576, 11577, 11578, 11579]
69 : 2022-12-23 : [11603, 11604, 11605, 11606]
70 : 2023-01-13 : [11625, 11626, 11627, 11628, 11630, 11631]
71 : 2023-01-15 : [11667, 11668, 11669, 11670, 11671, 11673, 11674, 11675, 11676]
72 : 2023-01-16 : [11681, 11682, 11683, 11684, 11685]
73 : 2023-01-17 : [11699, 11700, 11701, 11702, 11703, 11708, 11709]
74 : 2023-01-20 : [11738, 11739, 11740, 11741, 11742, 11743, 11744, 11745, 11746]
75 : 2023-01-21 : [11763, 11764, 11765, 11766, 11767, 11768, 11769, 11770]
76 : 2023-01-24 : [11828, 11829, 11830, 11831]
77 : 2023-01-26 : [11890, 11891, 11892, 11893]
78 : 2023-01-27 : [11923, 11926, 11927, 11928]

MC information

- 20221027_v0.9.9_crab_tuned

- AllSky MC using different test nodes for different runs depending on sky location.

• PSF and NSB tuned:

 "image_modifier": {
    "increase_nsb": true,
    "extra_noise_in_dim_pixels": 1.27,
    "extra_bias_in_dim_pixels": 0.665,
    "transition_charge": 8,
    "extra_noise_in_bright_pixels": 2.08,
    "increase_psf": false,
    "smeared_light_fraction": 0 
    },

• Tuned DL1b MC:

- Training sample: /fefs/aswg/data/mc/DL1/AllSky/20221027_v0.9.9_crab_tuned/TrainingDataset/

- Testing sample (AllSky MC): /fefs/aswg/data/mc/DL1/AllSky/20221027_v0.9.9_crab_tuned/TestingDataset/

• Random Forests - Source Dependent:

- General path: /fefs/aswg/workspace/seiya.nozaki/Crab_performance_paper/20221027_v0.9.9_crab_tuned/std/RF/trained_models/

- Configuration file: /fefs/aswg/workspace/seiya.nozaki/Crab_performance_paper/20221027_v0.9.9_crab_tuned/std/DL2/lstchain_src_dep_config.json

• DL2 MC (testing only):

- Souce-dependent

- AllSky MC depending on the sky location.

- General path: /fefs/aswg/workspace/seiya.nozaki/Crab_performance_paper/20221027_v0.9.9_crab_tuned/std/DL2_MC/

DL1 data

- DL1a files produced by LSTOSA (lstchain v0.9.9)

- lstchain v0.9 tailcut8-4

- /fefs/aswg/data/real/DL1/{date}/v0.9/tailcut84/

DL2 data

- Data before August 2021: /fefs/aswg/workspace/alvaro.mas/data/real/Crab/v0.9.9_final/DL2_preAug/

- Data after August 2021: /fefs/aswg/workspace/alvaro.mas/data/real/Crab/v0.9.9_final/DL2_posAug/

IRFs

- Point-like

- IRFs for each MC node and for each intensity cut

- IRF path before Aug2021: /fefs/aswg/workspace/alvaro.mas/data/real/Crab/v0.9.9_final/IRF/IRF_cut80/eff_0.7/

- IRF path after Aug2021: /fefs/aswg/workspace/alvaro.mas/data/real/Crab/v0.9.9_final/IRF/IRF_cut50/eff_0.7/

• IRF for different MC efficiency for extra checks: /fefs/aswg/workspace/alvaro.mas/data/real/Crab/v0.9.9_final/IRF/IRF_cut{int_cut}/eff_{eff}/

DL3 data

- General path for standard MC efficiency: /fefs/aswg/workspace/alvaro.mas/data/real/Crab/v0.9.9_final/DL3/eff_0.7/

- General path for different MC efficiency: /fefs/aswg/workspace/alvaro.mas/data/real/Crab/v0.9.9_final/DL3/eff_{eff}/

- Distribution of runs in AllSKy MC test nodes:

• mc_node = [10,102.199]

 [2929,2930,2931,2950,2970,2971,2972,2973,2988,3095,3096,3273,3274,3275,3318,3319,3320,3338,9438,10001,
 10002,10880,10909,10981,11087,11120,11121,11374,11463,11464,11491,11492,11576,11577,11625,11626]

• mc_node = [10,248.117]

 [2914,2932,2933,2934,2974,2975,2976,2989,2990,2991,3004,3005,3006,3276,3277,3278,3279,3321,3328,3329,
 3330,3339,3340,3355,3356,3598,3632,3672,3673,3674,3675,6872,6873,6874,6892,6893,7133,7161,7195,7196,
 7197,7227,7228,7253,7274,10881,10882,10910,10911,10946,10947,10948,10982,10983,11014,11088,11089,11122,
 11123,11402,11465,11466,11467,11493,11578,11579,11627,11628,11667]

• mc_node = [14.984,175.158]

 [9436,9437,9907,9998,9999,10883,10912,10913,10949,10950,10984,10985,11015,11090,11091,11118,11119,11124,
 11125,11373,11432,11433,11468,11469,11489,11490,11575,11630,11631,11668,11669,11681,11682,11699]

• mc_node = [23.63,100.758]

 [2949,2968,2969,3093,3094,3271,3272,6304, 9434, 9435, 9596, 9905, 9996,9997, 11117,11430,11431,11487,11488]

• mc_node = [23.63,259.265]

 [2977,2992,3007,3008,3231,3243,3373,3599,3600,3615,3633,3634,3676,3677,3706,3707,4067,4086,6875,6894,7097,
 7098,7099,7199,7231,7254,7255,7256,7275,10914,10915,10986,10987,11016,11017,11092,11093,11470,11471,11560,
 11561,11562,11603,11604,11670,11671,11683,11700,11701,11738,11739,11763]

• mc_node = [32.059,102.217]

 [2925,2966,2967,3090,3268,3269,3270,6016,6045,6072,6073,6302,9903,9904,11428,11429,11486]

• mc_node=[32.059,248.099]

 [2959,3009,3010,3169,3232,3233,3244,3245,3601,3635,3636,3708,4068,4069,4087,4088,6895,6896,7100,7101,7136,7137,
 7200,7201,7232,7233,7234,7276,7277,7278,7301,7302,10916,10917,10918,10988,10989,11018,11019,11094,11095,11472,
 11473,11563,11605,11606,11673,11674,11684,11685,11702,11703,11740,11741,11742,11764,11765,11766,11923]

• mc_node = [43.197,87.604]

 [2923,2924,2965,3088,3089,3266,3267,6043,6044,6071,6279,6301,6070,9274,11427]

• mc_node = [43.197,262.712]

 [2919,2961,3011,3012,3143,3170,3171,3234,3382,3383,3384,3637,3638,3639,3711,3925,4007,4008,4031,4032,4070,4071,
 4089,4090,6897,7102,7138,7139,7168,7169,7235,7236,7237,7238,7279,7280,7303,7304,7465,10919,11510,11511,11675,
 11676,11743,11744,11767,11768,11828,11829,11890,11891,11926]

• mc_node = [52.374,110.312]

 [2759,3264,3265,2922,3087,6013,6014,6041,6042,6069]

• mc_node = [52.374,301.217]

 [3235,3236,3385,3712,3961,3980,4033,4034,4091,4125,4126,4073,4092,6898,7105,7106,7140,7170,7171,7281,7305,11512,11513,
 11708,11709,11745,11746,11769,11770,11830,11831,11892,11893,11927,11928]

• mc_node = [60.528,99.126]

 [6012]

• mc_node = [60.528,251.19]

 [3237,4074,7172]

• Fixed cuts (before August 2021):

"intensity": [80, Infinity],
"width": [0, Infinity],
"length": [0, Infinity],
"r": [0, 1],
"wl": [0.1, 1],
"leakage_intensity_width_2": [0, 1.0],
"event_type": [32, 32]

• Fixed cuts (after August 2021):

"intensity": [50, Infinity],
"width": [0, Infinity],
"length": [0, Infinity],
"r": [0, 1],
"wl": [0.1, 1],
"leakage_intensity_width_2": [0, 1.0],
"event_type": [32, 32]

• Global gammaness and alpha cuts optimized on MC gamma efficiency of 70%, point-like source assumption

gh-efficiency 0.7 
alpha-containment 0.7

DL3 pulsar data

- Add phases using PINT-pulsar tools for LST-1 (https://github.com/alvmas/PulsarTimingAnalysis)

- Ephemeris file: /home/alvaro.mas/software/Pulsar_analysis/data/all.gro

- General path for standard MC efficiency: /fefs/aswg/workspace/alvaro.mas/data/real/Crab/v0.9.9_final/DL3_pulsar/eff_0.7/

- General path for different MC efficiency: /fefs/aswg/workspace/alvaro.mas/data/real/Crab/v0.9.9_final/DL3_pulsar/eff_{eff}/

High-level analysis

1D Spectral analysis

• Performed with gammapy-v0.20.1

energy_axis = MapAxis.from_energy_bounds(
   0.01, 10, nbin=40, per_decade=False, unit="TeV", name="energy"
)
energy_axis_true = MapAxis.from_energy_bounds(
   0.05, 100, nbin=100, per_decade=False, unit="TeV", name="energy_true"
)

spectral_points_binning 
   e_min, e_max = 0.02, 0.7
   nbins = 8 
   logspace
   sqrt_ts>1.5

• Phase Regions:

 Bkg: [0.52,0.87]
 P1: [0,0.026,0.983,1]
 P2: [0.377,0.422]
 P1+P2: [0,0.026,0.377,0.422, 0.983,1]
 P3: [0.08,0.24]

• Spectral fitting of stacked LST dataset
• Performed for point-like assumption
• Stacked analysis
• LST-1 data alone: Power-law spectral model
• Fermi + LST-1 data: Power-Law Spectral Model, ExponentialCutOff, LogParabola

Results

Phaseogram

• Phaseogram with all data

• Phaseogram with zd<35

• Phaseogram with zd>35

• Phaseogram in different energy bins:

• Evolution of the signal in time (without zd cut):

• Fitting results

• P1/P2 differential ratio (with Fermi-LAT). Until 200 GeV due to large uncertainties

• P1/P2 integral ratio (with Fermi-LAT).

LST-1 only fit and SED (zd<50)

• P1

• P2

P1 LST-1 + Fermi-LAT joint fit

• • Using a SubExponentialCutOffPL model:

Total stat: -2logL = 32.56

• • Using a SmoothBrokenPowerLaw model

Total stat: -2logL = 24.44

• P1 for E>10 GeV:

• • Using a LogParabola model

Total stat: -2logL = 7.34

• • Using a PowerLaw model

Total stat: -2logL = 7.83

P2 LST-1 + Fermi-LAT joint fit

• • Using a SubExponentialCutOffPL model:

Total stat: -2logL = 51.40

• • Using a SmoothBrokenPowerLaw model

Total stat: -2logL = 34.74

• P2 for E>10 GeV:

• • Using a LogParabola model

Total stat: -2logL = 17.85

• • Using a PowerLaw model

Total stat: -2logL = 19.35

LST-1+ Fermi-LAT energy calibration

• P1 in left and P2 in right (Using SmoothBrokenPowerLaw model in all energy range)

• P1 in left and P2 in right (Using PowerLaw model at E>10 GeV)

In all the cases the energy factor that minimize the chi2 value is below 5%

Lightcurve

Systematics tests

Phaseogram and SED for different samples

• Phaseogram Before August 2021

sign(P1)/sqrt(Tobs) = 0.856 h^(-1/2)

sign(P2)/sqrt(Tobs) = 1.059 h^(-1/2)

• Phaseogram After August 2021

sign(P1)/sqrt(Tobs) = 1.063 h^(-1/2)

sign(P2)/sqrt(Tobs) = 1.183 h^(-1/2)

• SED for P1:

Difference in spectral index of ~10% and flux 60% (lacking some statistics for first sample)

• SED for P2:

Difference in spectral index of ~2% and flux of 15%

Phaseogram and SED with different efficiencies

• P1 SED:

Relative maximum error of 3.07% in spectral index and 35.4% in flux.

• P1 SED:

Relative maximum error of 7.36% in spectral index and 29.2% in flux.

Effect on SED due to shift on MC true energy =

• • P1:

Relative maximum error of 1.01% in spectral index and 24.9% in flux.

• • P2:

Relative maximum error of 0.45% in spectral index and 16.4% in flux.

Final uncertainties

• • P1:

• • P2: