Table 7. Open in new tab The...

				f_NL + Mitigation systematics
DESI	No weight	118	121	102 < f_NL < 140	86 < f_NL < 161	45.1
DESI	Linear three maps	36	37	25 < f_NL < 50	14 < f_NL < 64	38.6
DESI	Linear four maps	31	32	20 < f_NL < 45	9 < f_NL < 58	40.3
DESI	Linear nine maps	30	32	19 < f_NL < 43	9 < f_NL < 57	41.9
DESI	Non-linear three maps	27	28	17 < f_NL < 40	6 < f_NL < 53	33.9
DESI	Non-linear four maps	14	15	5 < f_NL < 26	−6 < f_NL < 38	34.4
DESI	Non-linear nine maps	− 13	− 17	− 31 < f_NL < − 3	− 44 < f_NL < 9	39.1
DESI (imag. cut)	Non-linear nine maps	−25	−22	−37 < f_NL < −7	−49 < f_NL < 6	37.7
DESI (comp. cut)	Non-linear nine maps	−24	−23	−35 < f_NL < −10	−46 < f_NL < 2	36.3
DESI	Non-linear nine maps + f_NL = 76.9 Cov	−11	−15	−30 < f_NL < 0	−43 < f_NL < 12	37.4
BASS+MzLS + DECaLS	Non-linear nine maps	−31	−26	−41 < f_NL < −9	−53 < f_NL < 5	114.2
BASS + MzLS	Non-linear three maps	13	16	−6 < f_NL < 38	−28 < f_NL < 64	34.9
BASS + MzLS	Non-linear four maps	10	12	−11 < f_NL < 34	−35 < f_NL < 59	34.1
BASS + MzLS	Non-linear nine maps	− 9	− 13	− 37 < f_NL < 10	− 59 < f_NL < 32	36.4
BASS + MzLS (imag. cut)	Non-linear nine maps	−12	−13	−36 < f_NL < 10	−58 < f_NL < 34	36.7
BASS + MzLS (comp. cut)	Non-linear nine maps	−15	−16	−39 < f_NL < 6	−61 < f_NL < 28	35.3
DECaLS North	Non-linear three maps	41	45	21 < f_NL < 69	−1 < f_NL < 98	40.8
DECaLS North	Non-linear four maps	30	32	10 < f_NL < 56	−18 < f_NL < 83	40.9
DECaLS North	Non-linear nine maps	− 4	− 13	− 40 < f_NL < 13	− 64 < f_NL < 36	44.6
DECaLS North (imag. cut)	Non-linear nine maps	−16	−20	−47 < f_NL < 7	−70 < f_NL < 31	36.1
DECaLS North (comp. cut)	Non-linear nine maps	−17	−20	−46 < f_NL < 5	−68 < f_NL < 28	42.7
DECaLS North (no Dec. cut)	Non-linear nine maps	0	−13	−43 < f_NL < 15	−67 < f_NL < 38	44.2
DECaLS North	Non-linear eleven maps	−2	−7	−32 < f_NL < 16	−54 < f_NL < 39	40.0
DECaLS South	Non-linear three maps	30	31	11 < f_NL < 53	−28 < f_NL < 76	30.2
DECaLS South	Non-linear four maps	−42	−5	−44 < f_NL < 27	−70 < f_NL < 49	33.4
DECaLS South	Non-linear nine maps	− 43	− 40	− 58 < f_NL < − 21	− 75 < f_NL < 3	31.3
DECaLS South (imag. cut)	Non-linear nine maps	−57	−55	−76 < f_NL < −36	−96 < f_NL < −8	30.0
DECaLS South (comp. cut)	Non-linear nine maps	−42	−40	−58 < f_NL < −22	−76 < f_NL < −1	30.4
DECaLS South (no Dec. cut)	Non-linear nine maps	−2	−10	−31 < f_NL < 10	−50 < f_NL < 26	26.1
DECaLS South	Non-linear eleven maps	−38	−35	−52 < f_NL < −16	−70 < f_NL < 5	32.3

f_NL + Mitigation systematics

Footprint

Method

Best fit

Mean

|$68\,\mathrm{ per\,cent}$| CL

|$95\,\mathrm{ per\,cent}$| CL

χ² (dof = 34)

DESI

No weight

118

121

102 < f_NL < 140

86 < f_NL < 161

45.1

DESI

Linear three maps

25 < f_NL < 50

14 < f_NL < 64

38.6

DESI

Linear four maps

20 < f_NL < 45

9 < f_NL < 58

40.3

DESI

Linear nine maps

19 < f_NL < 43

9 < f_NL < 57

41.9

DESI

Non-linear three maps

17 < f_NL < 40

6 < f_NL < 53

33.9

DESI

Non-linear four maps

5 < f_NL < 26

−6 < f_NL < 38

34.4

DESI

Non-linear nine maps

− 13

− 17

− 31 < f_NL < − 3

− 44 < f_NL < 9

39.1

DESI (imag. cut)

Non-linear nine maps

−25

−22

−37 < f_NL < −7

−49 < f_NL < 6

37.7

DESI (comp. cut)

Non-linear nine maps

−24

−23

−35 < f_NL < −10

−46 < f_NL < 2

36.3

DESI

Non-linear nine maps + f_NL = 76.9 Cov

−11

−15

−30 < f_NL < 0

−43 < f_NL < 12

37.4

BASS+MzLS + DECaLS

Non-linear nine maps

−31

−26

−41 < f_NL < −9

−53 < f_NL < 5

114.2

BASS + MzLS

Non-linear three maps

−6 < f_NL < 38

−28 < f_NL < 64

34.9

BASS + MzLS

Non-linear four maps

−11 < f_NL < 34

−35 < f_NL < 59

34.1

BASS + MzLS

Non-linear nine maps

− 9

− 13

− 37 < f_NL < 10

− 59 < f_NL < 32

36.4

BASS + MzLS (imag. cut)

Non-linear nine maps

−12

−13

−36 < f_NL < 10

−58 < f_NL < 34

36.7

BASS + MzLS (comp. cut)

Non-linear nine maps

−15

−16

−39 < f_NL < 6

−61 < f_NL < 28

35.3

DECaLS North

Non-linear three maps

21 < f_NL < 69

−1 < f_NL < 98

40.8

DECaLS North

Non-linear four maps

10 < f_NL < 56

−18 < f_NL < 83

40.9

DECaLS North

Non-linear nine maps

− 4

− 13

− 40 < f_NL < 13

− 64 < f_NL < 36

44.6

DECaLS North (imag. cut)

Non-linear nine maps

−16

−20

−47 < f_NL < 7

−70 < f_NL < 31

36.1

DECaLS North (comp. cut)

Non-linear nine maps

−17

−20

−46 < f_NL < 5

−68 < f_NL < 28

42.7

DECaLS North (no Dec. cut)

Non-linear nine maps

−13

−43 < f_NL < 15

−67 < f_NL < 38

44.2

DECaLS North

Non-linear eleven maps

−2

−7

−32 < f_NL < 16

−54 < f_NL < 39

40.0

DECaLS South

Non-linear three maps

11 < f_NL < 53

−28 < f_NL < 76

30.2

DECaLS South

Non-linear four maps

−42

−5

−44 < f_NL < 27

−70 < f_NL < 49

33.4

DECaLS South

Non-linear nine maps

− 43

− 40

− 58 < f_NL < − 21

− 75 < f_NL < 3

31.3

DECaLS South (imag. cut)

Non-linear nine maps

−57

−55

−76 < f_NL < −36

−96 < f_NL < −8

30.0

DECaLS South (comp. cut)

Non-linear nine maps

−42

−40

−58 < f_NL < −22

−76 < f_NL < −1

30.4

DECaLS South (no Dec. cut)

Non-linear nine maps

−2

−10

−31 < f_NL < 10

−50 < f_NL < 26

26.1

DECaLS South

Non-linear eleven maps

−38

−35

−52 < f_NL < −16

−70 < f_NL < 5

32.3

				f_NL + Mitigation systematics
DESI	No weight	118	121	102 < f_NL < 140	86 < f_NL < 161	45.1
DESI	Linear three maps	36	37	25 < f_NL < 50	14 < f_NL < 64	38.6
DESI	Linear four maps	31	32	20 < f_NL < 45	9 < f_NL < 58	40.3
DESI	Linear nine maps	30	32	19 < f_NL < 43	9 < f_NL < 57	41.9
DESI	Non-linear three maps	27	28	17 < f_NL < 40	6 < f_NL < 53	33.9
DESI	Non-linear four maps	14	15	5 < f_NL < 26	−6 < f_NL < 38	34.4
DESI	Non-linear nine maps	− 13	− 17	− 31 < f_NL < − 3	− 44 < f_NL < 9	39.1
DESI (imag. cut)	Non-linear nine maps	−25	−22	−37 < f_NL < −7	−49 < f_NL < 6	37.7
DESI (comp. cut)	Non-linear nine maps	−24	−23	−35 < f_NL < −10	−46 < f_NL < 2	36.3
DESI	Non-linear nine maps + f_NL = 76.9 Cov	−11	−15	−30 < f_NL < 0	−43 < f_NL < 12	37.4
BASS+MzLS + DECaLS	Non-linear nine maps	−31	−26	−41 < f_NL < −9	−53 < f_NL < 5	114.2
BASS + MzLS	Non-linear three maps	13	16	−6 < f_NL < 38	−28 < f_NL < 64	34.9
BASS + MzLS	Non-linear four maps	10	12	−11 < f_NL < 34	−35 < f_NL < 59	34.1
BASS + MzLS	Non-linear nine maps	− 9	− 13	− 37 < f_NL < 10	− 59 < f_NL < 32	36.4
BASS + MzLS (imag. cut)	Non-linear nine maps	−12	−13	−36 < f_NL < 10	−58 < f_NL < 34	36.7
BASS + MzLS (comp. cut)	Non-linear nine maps	−15	−16	−39 < f_NL < 6	−61 < f_NL < 28	35.3
DECaLS North	Non-linear three maps	41	45	21 < f_NL < 69	−1 < f_NL < 98	40.8
DECaLS North	Non-linear four maps	30	32	10 < f_NL < 56	−18 < f_NL < 83	40.9
DECaLS North	Non-linear nine maps	− 4	− 13	− 40 < f_NL < 13	− 64 < f_NL < 36	44.6
DECaLS North (imag. cut)	Non-linear nine maps	−16	−20	−47 < f_NL < 7	−70 < f_NL < 31	36.1
DECaLS North (comp. cut)	Non-linear nine maps	−17	−20	−46 < f_NL < 5	−68 < f_NL < 28	42.7
DECaLS North (no Dec. cut)	Non-linear nine maps	0	−13	−43 < f_NL < 15	−67 < f_NL < 38	44.2
DECaLS North	Non-linear eleven maps	−2	−7	−32 < f_NL < 16	−54 < f_NL < 39	40.0
DECaLS South	Non-linear three maps	30	31	11 < f_NL < 53	−28 < f_NL < 76	30.2
DECaLS South	Non-linear four maps	−42	−5	−44 < f_NL < 27	−70 < f_NL < 49	33.4
DECaLS South	Non-linear nine maps	− 43	− 40	− 58 < f_NL < − 21	− 75 < f_NL < 3	31.3
DECaLS South (imag. cut)	Non-linear nine maps	−57	−55	−76 < f_NL < −36	−96 < f_NL < −8	30.0
DECaLS South (comp. cut)	Non-linear nine maps	−42	−40	−58 < f_NL < −22	−76 < f_NL < −1	30.4
DECaLS South (no Dec. cut)	Non-linear nine maps	−2	−10	−31 < f_NL < 10	−50 < f_NL < 26	26.1
DECaLS South	Non-linear eleven maps	−38	−35	−52 < f_NL < −16	−70 < f_NL < 5	32.3

f_NL + Mitigation systematics

Footprint

Method

Best fit

Mean

|$68\,\mathrm{ per\,cent}$| CL

|$95\,\mathrm{ per\,cent}$| CL

χ² (dof = 34)

DESI

No weight

118

121

102 < f_NL < 140

86 < f_NL < 161

45.1

DESI

Linear three maps

25 < f_NL < 50

14 < f_NL < 64

38.6

DESI

Linear four maps

20 < f_NL < 45

9 < f_NL < 58

40.3

DESI

Linear nine maps

19 < f_NL < 43

9 < f_NL < 57

41.9

DESI

Non-linear three maps

17 < f_NL < 40

6 < f_NL < 53

33.9

DESI

Non-linear four maps

5 < f_NL < 26

−6 < f_NL < 38

34.4

DESI

Non-linear nine maps

− 13

− 17

− 31 < f_NL < − 3

− 44 < f_NL < 9

39.1

DESI (imag. cut)

Non-linear nine maps

−25

−22

−37 < f_NL < −7

−49 < f_NL < 6

37.7

DESI (comp. cut)

Non-linear nine maps

−24

−23

−35 < f_NL < −10

−46 < f_NL < 2

36.3

DESI

Non-linear nine maps + f_NL = 76.9 Cov

−11

−15

−30 < f_NL < 0

−43 < f_NL < 12

37.4

BASS+MzLS + DECaLS

Non-linear nine maps

−31

−26

−41 < f_NL < −9

−53 < f_NL < 5

114.2

BASS + MzLS

Non-linear three maps

−6 < f_NL < 38

−28 < f_NL < 64

34.9

BASS + MzLS

Non-linear four maps

−11 < f_NL < 34

−35 < f_NL < 59

34.1

BASS + MzLS

Non-linear nine maps

− 9

− 13

− 37 < f_NL < 10

− 59 < f_NL < 32

36.4

BASS + MzLS (imag. cut)

Non-linear nine maps

−12

−13

−36 < f_NL < 10

−58 < f_NL < 34

36.7

BASS + MzLS (comp. cut)

Non-linear nine maps

−15

−16

−39 < f_NL < 6

−61 < f_NL < 28

35.3

DECaLS North

Non-linear three maps

21 < f_NL < 69

−1 < f_NL < 98

40.8

DECaLS North

Non-linear four maps

10 < f_NL < 56

−18 < f_NL < 83

40.9

DECaLS North

Non-linear nine maps

− 4

− 13

− 40 < f_NL < 13

− 64 < f_NL < 36

44.6

DECaLS North (imag. cut)

Non-linear nine maps

−16

−20

−47 < f_NL < 7

−70 < f_NL < 31

36.1

DECaLS North (comp. cut)

Non-linear nine maps

−17

−20

−46 < f_NL < 5

−68 < f_NL < 28

42.7

DECaLS North (no Dec. cut)

Non-linear nine maps

−13

−43 < f_NL < 15

−67 < f_NL < 38

44.2

DECaLS North

Non-linear eleven maps

−2

−7

−32 < f_NL < 16

−54 < f_NL < 39

40.0

DECaLS South

Non-linear three maps

11 < f_NL < 53

−28 < f_NL < 76

30.2

DECaLS South

Non-linear four maps

−42

−5

−44 < f_NL < 27

−70 < f_NL < 49

33.4

DECaLS South

Non-linear nine maps

− 43

− 40

− 58 < f_NL < − 21

− 75 < f_NL < 3

31.3

DECaLS South (imag. cut)

Non-linear nine maps

−57

−55

−76 < f_NL < −36

−96 < f_NL < −8

30.0

DECaLS South (comp. cut)

Non-linear nine maps

−42

−40

−58 < f_NL < −22

−76 < f_NL < −1

30.4

DECaLS South (no Dec. cut)

Non-linear nine maps

−2

−10

−31 < f_NL < 10

−50 < f_NL < 26

26.1

DECaLS South

Non-linear eleven maps

−38

−35

−52 < f_NL < −16

−70 < f_NL < 5

32.3

Table 7.

Open in new tab

The uncalibrated best-fitting and marginalized mean estimates for f_NL from fitting the power spectrum of the DESI LRG targets before and after correcting for systematics. The estimates are not calibrated for overcorrection, and thus are subject to mitigation systematics. The number of degrees of freedom is 34 (37 data points − 3 parameters) for all cases except the case that combines the data at the likelihood level, ‘BASS+MzLS + DECaLS’, in which the dof is 104 (3 × 37 − 7). The lowest mode is ℓ = 2 and the covariance matrix is from the f_NL = 0 clean mocks (no mitigation) except for the case with ‘ + Cov’ in which the covariance matrix is from the f_NL = 76.9 clean mocks (no mitigation). We fix p = 1 for all cases and s = 0.945 for DESI, 0.943 for DECaLS North (and South), and 0.951 for BASS + MzLS. The bold values represent important cases.

				f_NL + Mitigation systematics
Footprint	Method	Best fit	Mean	\|$68\,\mathrm{ per\,cent}$\| CL	\|$95\,\mathrm{ per\,cent}$\| CL	χ² (dof = 34)
DESI	No weight	118	121	102 < f_NL < 140	86 < f_NL < 161	45.1
DESI	Linear three maps	36	37	25 < f_NL < 50	14 < f_NL < 64	38.6
DESI	Linear four maps	31	32	20 < f_NL < 45	9 < f_NL < 58	40.3
DESI	Linear nine maps	30	32	19 < f_NL < 43	9 < f_NL < 57	41.9
DESI	Non-linear three maps	27	28	17 < f_NL < 40	6 < f_NL < 53	33.9
DESI	Non-linear four maps	14	15	5 < f_NL < 26	−6 < f_NL < 38	34.4
DESI	Non-linear nine maps	− 13	− 17	− 31 < f_NL < − 3	− 44 < f_NL < 9	39.1
DESI (imag. cut)	Non-linear nine maps	−25	−22	−37 < f_NL < −7	−49 < f_NL < 6	37.7
DESI (comp. cut)	Non-linear nine maps	−24	−23	−35 < f_NL < −10	−46 < f_NL < 2	36.3
DESI	Non-linear nine maps + f_NL = 76.9 Cov	−11	−15	−30 < f_NL < 0	−43 < f_NL < 12	37.4
BASS+MzLS + DECaLS	Non-linear nine maps	−31	−26	−41 < f_NL < −9	−53 < f_NL < 5	114.2
BASS + MzLS	Non-linear three maps	13	16	−6 < f_NL < 38	−28 < f_NL < 64	34.9
BASS + MzLS	Non-linear four maps	10	12	−11 < f_NL < 34	−35 < f_NL < 59	34.1
BASS + MzLS	Non-linear nine maps	− 9	− 13	− 37 < f_NL < 10	− 59 < f_NL < 32	36.4
BASS + MzLS (imag. cut)	Non-linear nine maps	−12	−13	−36 < f_NL < 10	−58 < f_NL < 34	36.7
BASS + MzLS (comp. cut)	Non-linear nine maps	−15	−16	−39 < f_NL < 6	−61 < f_NL < 28	35.3
DECaLS North	Non-linear three maps	41	45	21 < f_NL < 69	−1 < f_NL < 98	40.8
DECaLS North	Non-linear four maps	30	32	10 < f_NL < 56	−18 < f_NL < 83	40.9
DECaLS North	Non-linear nine maps	− 4	− 13	− 40 < f_NL < 13	− 64 < f_NL < 36	44.6
DECaLS North (imag. cut)	Non-linear nine maps	−16	−20	−47 < f_NL < 7	−70 < f_NL < 31	36.1
DECaLS North (comp. cut)	Non-linear nine maps	−17	−20	−46 < f_NL < 5	−68 < f_NL < 28	42.7
DECaLS North (no Dec. cut)	Non-linear nine maps	0	−13	−43 < f_NL < 15	−67 < f_NL < 38	44.2
DECaLS North	Non-linear eleven maps	−2	−7	−32 < f_NL < 16	−54 < f_NL < 39	40.0
DECaLS South	Non-linear three maps	30	31	11 < f_NL < 53	−28 < f_NL < 76	30.2
DECaLS South	Non-linear four maps	−42	−5	−44 < f_NL < 27	−70 < f_NL < 49	33.4
DECaLS South	Non-linear nine maps	− 43	− 40	− 58 < f_NL < − 21	− 75 < f_NL < 3	31.3
DECaLS South (imag. cut)	Non-linear nine maps	−57	−55	−76 < f_NL < −36	−96 < f_NL < −8	30.0
DECaLS South (comp. cut)	Non-linear nine maps	−42	−40	−58 < f_NL < −22	−76 < f_NL < −1	30.4
DECaLS South (no Dec. cut)	Non-linear nine maps	−2	−10	−31 < f_NL < 10	−50 < f_NL < 26	26.1
DECaLS South	Non-linear eleven maps	−38	−35	−52 < f_NL < −16	−70 < f_NL < 5	32.3

				f_NL + Mitigation systematics
Footprint	Method	Best fit	Mean	\|$68\,\mathrm{ per\,cent}$\| CL	\|$95\,\mathrm{ per\,cent}$\| CL	χ² (dof = 34)
DESI	No weight	118	121	102 < f_NL < 140	86 < f_NL < 161	45.1
DESI	Linear three maps	36	37	25 < f_NL < 50	14 < f_NL < 64	38.6
DESI	Linear four maps	31	32	20 < f_NL < 45	9 < f_NL < 58	40.3
DESI	Linear nine maps	30	32	19 < f_NL < 43	9 < f_NL < 57	41.9
DESI	Non-linear three maps	27	28	17 < f_NL < 40	6 < f_NL < 53	33.9
DESI	Non-linear four maps	14	15	5 < f_NL < 26	−6 < f_NL < 38	34.4
DESI	Non-linear nine maps	− 13	− 17	− 31 < f_NL < − 3	− 44 < f_NL < 9	39.1
DESI (imag. cut)	Non-linear nine maps	−25	−22	−37 < f_NL < −7	−49 < f_NL < 6	37.7
DESI (comp. cut)	Non-linear nine maps	−24	−23	−35 < f_NL < −10	−46 < f_NL < 2	36.3
DESI	Non-linear nine maps + f_NL = 76.9 Cov	−11	−15	−30 < f_NL < 0	−43 < f_NL < 12	37.4
BASS+MzLS + DECaLS	Non-linear nine maps	−31	−26	−41 < f_NL < −9	−53 < f_NL < 5	114.2
BASS + MzLS	Non-linear three maps	13	16	−6 < f_NL < 38	−28 < f_NL < 64	34.9
BASS + MzLS	Non-linear four maps	10	12	−11 < f_NL < 34	−35 < f_NL < 59	34.1
BASS + MzLS	Non-linear nine maps	− 9	− 13	− 37 < f_NL < 10	− 59 < f_NL < 32	36.4
BASS + MzLS (imag. cut)	Non-linear nine maps	−12	−13	−36 < f_NL < 10	−58 < f_NL < 34	36.7
BASS + MzLS (comp. cut)	Non-linear nine maps	−15	−16	−39 < f_NL < 6	−61 < f_NL < 28	35.3
DECaLS North	Non-linear three maps	41	45	21 < f_NL < 69	−1 < f_NL < 98	40.8
DECaLS North	Non-linear four maps	30	32	10 < f_NL < 56	−18 < f_NL < 83	40.9
DECaLS North	Non-linear nine maps	− 4	− 13	− 40 < f_NL < 13	− 64 < f_NL < 36	44.6
DECaLS North (imag. cut)	Non-linear nine maps	−16	−20	−47 < f_NL < 7	−70 < f_NL < 31	36.1
DECaLS North (comp. cut)	Non-linear nine maps	−17	−20	−46 < f_NL < 5	−68 < f_NL < 28	42.7
DECaLS North (no Dec. cut)	Non-linear nine maps	0	−13	−43 < f_NL < 15	−67 < f_NL < 38	44.2
DECaLS North	Non-linear eleven maps	−2	−7	−32 < f_NL < 16	−54 < f_NL < 39	40.0
DECaLS South	Non-linear three maps	30	31	11 < f_NL < 53	−28 < f_NL < 76	30.2
DECaLS South	Non-linear four maps	−42	−5	−44 < f_NL < 27	−70 < f_NL < 49	33.4
DECaLS South	Non-linear nine maps	− 43	− 40	− 58 < f_NL < − 21	− 75 < f_NL < 3	31.3
DECaLS South (imag. cut)	Non-linear nine maps	−57	−55	−76 < f_NL < −36	−96 < f_NL < −8	30.0
DECaLS South (comp. cut)	Non-linear nine maps	−42	−40	−58 < f_NL < −22	−76 < f_NL < −1	30.4
DECaLS South (no Dec. cut)	Non-linear nine maps	−2	−10	−31 < f_NL < 10	−50 < f_NL < 26	26.1
DECaLS South	Non-linear eleven maps	−38	−35	−52 < f_NL < −16	−70 < f_NL < 5	32.3

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