Unbiased Cosmological Parameter Estimation from Emission Line Surveys with Interlopers
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- Piotr Kwiatkowski
- 4 lat temu
- Przeglądów:
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1 Unbiased Cosmological Parameter Estimation from Emission Line Surveys with Interlopers Donghui Jeong (Pennsylvania State University) Based on Grasshorn Gebhardt, Jeong et al. (2018) The 8th KIAS cosmology workshop, 11/5/2018
2 Work done by r Henry S. Grasshorn Gebhardt (graduating student from Penn State)
3 Two ways to survey galaxies Photometric selection + spectroscopic follow-up Example: BOSS, eboss, PFS, DESI Direct sampling of spectra (emission line surveys) Splitless Grism Spectrograph: 3dHST, WFIRST, Euclid IFUs (Integral-field Unit): HETDEX LVT (Linear Variable Filter): SPHEREx
4 Two ways to survey galaxies Usually with the low-resolution (R=Δλ/λ<1000) spectrographs Photometric selection + spectroscopic follow-up Problem = ambiguity in the emission line identification! Example: BOSS, eboss, PFS, DESI Direct sampling of spectra (emission line surveys) Splitless Grism Spectrograph: 3dHST, WFIRST, Euclid IFUs (Integral-field Unit): HETDEX LVT (Linear Variable Filter): SPHEREx
5 Hobby-Eberly Telescope Dark Energy Experiment 434 sq. deg. (294 around δ= around δ=0) Spectral coverage = 350nm - 550nm (R~500) Main target = a Million Lyman-alpha emitters (LAEs) at 1.9<z<3.5 Interloper = two Millions [O II] λ3727 emitters (OIIEs) at z<0.48 Science = measuring d A (z), H(z), f(z), f NL, mν etc.
6 LAEs (main) and OIIEs (interloper) Just like Ly, [OII] λ3727 is a fairly isolated line. Low-resolution : [OII] λ3727 doublet cannot be resolved. An astrophysical way to distinguish them: Equivalence width Continuum flux
7 Continuum flux and Equivalent width Leung Can reduce the OIIE interloper fraction to 0.5%, at the expense of loosing 6% of LAEs. 6% of LAEs = 60,000 LAEs! What happens if we ignore the interlopers? Interloper bias!
8 <latexit sha1_base64="lpk5kgbyc/jwr80bod4fey+bphs=">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</latexit> <latexit sha1_base64="lpk5kgbyc/jwr80bod4fey+bphs=">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</latexit> <latexit sha1_base64="lpk5kgbyc/jwr80bod4fey+bphs=">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</latexit> <latexit sha1_base64="lpk5kgbyc/jwr80bod4fey+bphs=">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</latexit> Interloper bias 1.04 marg., v, ln A marg., ln A 1.02 marg. ln A H/Href f fid =0.05 f = N interloper OII N total LAE d A /d A,ref
9 <latexit sha1_base64="49lmfx8m0aaf3wofizypqlryo2w=">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</latexit> <latexit sha1_base64="49lmfx8m0aaf3wofizypqlryo2w=">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</latexit> <latexit sha1_base64="49lmfx8m0aaf3wofizypqlryo2w=">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</latexit> <latexit sha1_base64="49lmfx8m0aaf3wofizypqlryo2w=">aaacqxicbvblswmxgmzwv62vvy9egkvol2vxbl0ifrfakfjbpqbbsjbntqhzb0lwqmv+ns/+a2/evxhqxksxs+1cbetaydlfdf8ydscokibxqmvwvtfwn7kbua3tnd09ff+gkfyqy9lapvn520acmoqrhqsskxbacxjtrlr26dqztx4if9t37uu4if0xdtzquiykknp627kjrpaswg5holkyivzrl7k4c2+r1tiel2pxn3e8tvykjznbmz7de08x7ul5o2rmajejmzi8sfhv6s9w38ehszyjgrkiyxqb7eais4ozixnwkeia8agnsedrd7ledknjaze8uuofoj5xx5nwov5nrmgvyuzayukiorsls0t8b9yjpxprjagxhjj4elricrmupkzqhh3kczzsrajcnkq3qjxeqh+pss+peszfly+t5mnjnerm3vm+xevryiijcawkwatnoawqoa4aaimn8ay+wkf2rl1rx9r31jrr0swhmip28wt9sba4</latexit> <latexit sha1_base64="dukrzvgbbzfrpk9m/fit2lv7fju=">aaacg3icbzdlssnafiyn9vbrlerszwar6qykrdcn0ckchyiv7awaecatstt0cmfmittq93djq7hxoygrwyvv47tnorb+mpdznxm4c343zlriw/jrciura+sb+c3c1vbo7p6+f9awucixaegirbzrikeydulluslin+yebs4jhxd4nal3hggxnarv5sgmdod6ifuprlihr69yimudbc+h5xoeu8+plr6d1oibbnsux6fjexjbryvi6ewjbewfl42zmsli1ht0l8ulcbkqugkghoizriztfhfjmspjgpuieim8rh3suzzearf2or1tde8u8aafcfvccad0fijfgrcjwfwdazidsvibwp9qvut6f3zkwzirjmszrx7coizgjcjouu6wzcnleozu/rxiavizsrvnqyvglp68bnqvsmmuzbuzyrwrxzehr+ayliajzkev3iamaaemnsaleapv2rp2qn1on7pwnjbnhii/0r5/affoocu=</latexit> <latexit sha1_base64="dukrzvgbbzfrpk9m/fit2lv7fju=">aaacg3icbzdlssnafiyn9vbrlerszwar6qykrdcn0ckchyiv7awaecatstt0cmfmittq93djq7hxoygrwyvv47tnorb+mpdznxm4c343zlriw/jrciura+sb+c3c1vbo7p6+f9awucixaegirbzrikeydulluslin+yebs4jhxd4nal3hggxnarv5sgmdod6ifuprlihr69yimudbc+h5xoeu8+plr6d1oibbnsux6fjexjbryvi6ewjbewfl42zmsli1ht0l8ulcbkqugkghoizriztfhfjmspjgpuieim8rh3suzzearf2or1tde8u8aafcfvccad0fijfgrcjwfwdazidsvibwp9qvut6f3zkwzirjmszrx7coizgjcjouu6wzcnleozu/rxiavizsrvnqyvglp68bnqvsmmuzbuzyrwrxzehr+ayliajzkev3iamaaemnsaleapv2rp2qn1on7pwnjbnhii/0r5/affoocu=</latexit> <latexit sha1_base64="dukrzvgbbzfrpk9m/fit2lv7fju=">aaacg3icbzdlssnafiyn9vbrlerszwar6qykrdcn0ckchyiv7awaecatstt0cmfmittq93djq7hxoygrwyvv47tnorb+mpdznxm4c343zlriw/jrciura+sb+c3c1vbo7p6+f9awucixaegirbzrikeydulluslin+yebs4jhxd4nal3hggxnarv5sgmdod6ifuprlihr69yimudbc+h5xoeu8+plr6d1oibbnsux6fjexjbryvi6ewjbewfl42zmsli1ht0l8ulcbkqugkghoizriztfhfjmspjgpuieim8rh3suzzearf2or1tde8u8aafcfvccad0fijfgrcjwfwdazidsvibwp9qvut6f3zkwzirjmszrx7coizgjcjouu6wzcnleozu/rxiavizsrvnqyvglp68bnqvsmmuzbuzyrwrxzehr+ayliajzkev3iamaaemnsaleapv2rp2qn1on7pwnjbnhii/0r5/affoocu=</latexit> <latexit sha1_base64="dukrzvgbbzfrpk9m/fit2lv7fju=">aaacg3icbzdlssnafiyn9vbrlerszwar6qykrdcn0ckchyiv7awaecatstt0cmfmittq93djq7hxoygrwyvv47tnorb+mpdznxm4c343zlriw/jrciura+sb+c3c1vbo7p6+f9awucixaegirbzrikeydulluslin+yebs4jhxd4nal3hggxnarv5sgmdod6ifuprlihr69yimudbc+h5xoeu8+plr6d1oibbnsux6fjexjbryvi6ewjbewfl42zmsli1ht0l8ulcbkqugkghoizriztfhfjmspjgpuieim8rh3suzzearf2or1tde8u8aafcfvccad0fijfgrcjwfwdazidsvibwp9qvut6f3zkwzirjmszrx7coizgjcjouu6wzcnleozu/rxiavizsrvnqyvglp68bnqvsmmuzbuzyrwrxzehr+ayliajzkev3iamaaemnsaleapv2rp2qn1on7pwnjbnhii/0r5/affoocu=</latexit> Projection of interlopers LAEs = d A(z LAE ) d A (z OII ) OIIEs = 7.1 = OII LAE H(z OII ) H(z LAE ) β = 0.84
10 Change of P(k) by interlopers LAEs OIIEs = 7.1 β = 0.84
11 Change of P(k) by interlopers LAEs Volume OIIEs = 7.1 Re-scaled by β = 0.84
12 <latexit sha1_base64="x+cttfjxrnuef4mextwunumd2d8=">aaab8nicbvbns8naej34wetx1aoxxsj4kkkr9fj04rgc/ya0ls120y7dbmlurcihp8olb0w8+mu8+w/ctjlo64obx3szzmwluykmuu63s7a+sbm1xdop7+7thxxwjo7bjsk04y2wyer3q2q4fiq3ukdk3vrzgoesd8lx7czvphftrkiecjlyikzdjslbkfrjz3urpmmstr/r/urvrblzkfxifaqkbzr9yldvklas5gqzpmb4nptikfongkk+lfcyw1pkxntifusvjbkj8vnju3julqgjem1lizmrvydyghsziupbgvmcmwvvjv7n+rlg10euvjohv2yxkmokwytm/icdotldobgemi3srysnqkymbuplg4k3/piqaddrnlvz7i+rjzsijhkcwhlcgadx0ia7aeilgctwdk/w5qdz4rw7h4vwnaeyoye/cd5/anz7kpy=</latexit> <latexit sha1_base64="x+cttfjxrnuef4mextwunumd2d8=">aaab8nicbvbns8naej34wetx1aoxxsj4kkkr9fj04rgc/ya0ls120y7dbmlurcihp8olb0w8+mu8+w/ctjlo64obx3szzmwluykmuu63s7a+sbm1xdop7+7thxxwjo7bjsk04y2wyer3q2q4fiq3ukdk3vrzgoesd8lx7czvphftrkiecjlyikzdjslbkfrjz3urpmmstr/r/urvrblzkfxifaqkbzr9yldvklas5gqzpmb4nptikfongkk+lfcyw1pkxntifusvjbkj8vnju3julqgjem1lizmrvydyghsziupbgvmcmwvvjv7n+rlg10euvjohv2yxkmokwytm/icdotldobgemi3srysnqkymbuplg4k3/piqaddrnlvz7i+rjzsijhkcwhlcgadx0ia7aeilgctwdk/w5qdz4rw7h4vwnaeyoye/cd5/anz7kpy=</latexit> <latexit sha1_base64="x+cttfjxrnuef4mextwunumd2d8=">aaab8nicbvbns8naej34wetx1aoxxsj4kkkr9fj04rgc/ya0ls120y7dbmlurcihp8olb0w8+mu8+w/ctjlo64obx3szzmwluykmuu63s7a+sbm1xdop7+7thxxwjo7bjsk04y2wyer3q2q4fiq3ukdk3vrzgoesd8lx7czvphftrkiecjlyikzdjslbkfrjz3urpmmstr/r/urvrblzkfxifaqkbzr9yldvklas5gqzpmb4nptikfongkk+lfcyw1pkxntifusvjbkj8vnju3julqgjem1lizmrvydyghsziupbgvmcmwvvjv7n+rlg10euvjohv2yxkmokwytm/icdotldobgemi3srysnqkymbuplg4k3/piqaddrnlvz7i+rjzsijhkcwhlcgadx0ia7aeilgctwdk/w5qdz4rw7h4vwnaeyoye/cd5/anz7kpy=</latexit> <latexit sha1_base64="x+cttfjxrnuef4mextwunumd2d8=">aaab8nicbvbns8naej34wetx1aoxxsj4kkkr9fj04rgc/ya0ls120y7dbmlurcihp8olb0w8+mu8+w/ctjlo64obx3szzmwluykmuu63s7a+sbm1xdop7+7thxxwjo7bjsk04y2wyer3q2q4fiq3ukdk3vrzgoesd8lx7czvphftrkiecjlyikzdjslbkfrjz3urpmmstr/r/urvrblzkfxifaqkbzr9yldvklas5gqzpmb4nptikfongkk+lfcyw1pkxntifusvjbkj8vnju3julqgjem1lizmrvydyghsziupbgvmcmwvvjv7n+rlg10euvjohv2yxkmokwytm/icdotldobgemi3srysnqkymbuplg4k3/piqaddrnlvz7i+rjzsijhkcwhlcgadx0ia7aeilgctwdk/w5qdz4rw7h4vwnaeyoye/cd5/anz7kpy=</latexit> Change of P(k) by interlopers LAEs f 2 OIIEs = 7.1 β = 0.84
13 <latexit sha1_base64="9fihjyzh1ssqlykaf1wlpng5iig=">aaacbhicbzc7sgnbfibpei3xtmqzzjaivmfxbg2egi2frqrzgwqjs5pzzmjs7dizk4qlhy2vymohik0pyefbojtsoyk/dhz85xzond9ibnfgdb/ryura+szmaau8vbo7t+8chlz0ncrkmjqwseoerdpbjwsabgtrjiqrkbcshyyv83r7gsnny3lvjgnzizkuposuggv1nurwcxuz43ckr3dbw5zdmtd3qm7nnqkvg1dafqo1+s5xbxdtnglsueg07npuyvymkmopynnyl9usixrmhqxruzkiat+bhthfj9yz4dbw9kmdz+7viyxewk+iwhzgxiz0yi03/6t1uxne+hmxswqyppnfysqwixgecb5wxagrewuekm7/iumikeknza1sq/awt16g1lnns4ndnvfrt0ucjajamzycbxdqhxtoqbmopmizvmibekiv6b19zftxudfzbh+epn8a1ucwsq==</latexit> <latexit sha1_base64="9fihjyzh1ssqlykaf1wlpng5iig=">aaacbhicbzc7sgnbfibpei3xtmqzzjaivmfxbg2egi2frqrzgwqjs5pzzmjs7dizk4qlhy2vymohik0pyefbojtsoyk/dhz85xzond9ibnfgdb/ryura+szmaau8vbo7t+8chlz0ncrkmjqwseoerdpbjwsabgtrjiqrkbcshyyv83r7gsnny3lvjgnzizkuposuggv1nurwcxuz43ckr3dbw5zdmtd3qm7nnqkvg1dafqo1+s5xbxdtnglsueg07npuyvymkmopynnyl9usixrmhqxruzkiat+bhthfj9yz4dbw9kmdz+7viyxewk+iwhzgxiz0yi03/6t1uxne+hmxswqyppnfysqwixgecb5wxagrewuekm7/iumikeknza1sq/awt16g1lnns4ndnvfrt0ucjajamzycbxdqhxtoqbmopmizvmibekiv6b19zftxudfzbh+epn8a1ucwsq==</latexit> <latexit sha1_base64="9fihjyzh1ssqlykaf1wlpng5iig=">aaacbhicbzc7sgnbfibpei3xtmqzzjaivmfxbg2egi2frqrzgwqjs5pzzmjs7dizk4qlhy2vymohik0pyefbojtsoyk/dhz85xzond9ibnfgdb/ryura+szmaau8vbo7t+8chlz0ncrkmjqwseoerdpbjwsabgtrjiqrkbcshyyv83r7gsnny3lvjgnzizkuposuggv1nurwcxuz43ckr3dbw5zdmtd3qm7nnqkvg1dafqo1+s5xbxdtnglsueg07npuyvymkmopynnyl9usixrmhqxruzkiat+bhthfj9yz4dbw9kmdz+7viyxewk+iwhzgxiz0yi03/6t1uxne+hmxswqyppnfysqwixgecb5wxagrewuekm7/iumikeknza1sq/awt16g1lnns4ndnvfrt0ucjajamzycbxdqhxtoqbmopmizvmibekiv6b19zftxudfzbh+epn8a1ucwsq==</latexit> <latexit sha1_base64="9fihjyzh1ssqlykaf1wlpng5iig=">aaacbhicbzc7sgnbfibpei3xtmqzzjaivmfxbg2egi2frqrzgwqjs5pzzmjs7dizk4qlhy2vymohik0pyefbojtsoyk/dhz85xzond9ibnfgdb/ryura+szmaau8vbo7t+8chlz0ncrkmjqwseoerdpbjwsabgtrjiqrkbcshyyv83r7gsnny3lvjgnzizkuposuggv1nurwcxuz43ckr3dbw5zdmtd3qm7nnqkvg1dafqo1+s5xbxdtnglsueg07npuyvymkmopynnyl9usixrmhqxruzkiat+bhthfj9yz4dbw9kmdz+7viyxewk+iwhzgxiz0yi03/6t1uxne+hmxswqyppnfysqwixgecb5wxagrewuekm7/iumikeknza1sq/awt16g1lnns4ndnvfrt0ucjajamzycbxdqhxtoqbmopmizvmibekiv6b19zftxudfzbh+epn8a1ucwsq==</latexit> Interlopers also induce anisotropies f = g = P obs LAE (k) 0.4 f 2 P proj OII (k) Re-scaled by β k in h Mpc k in h Mpc k? in h Mpc k? in h Mpc Re-scaled by
14 Interloper bias in d A, H, f, σ (f, g) = (0 %, 0 %) (f, g) = (1 %, 1 %) (f, g) = (2 %, 2 %) marginalize, v, ln A marginalize, ln A marginalize ln A f 8/(f 8)ref (f, g) = (3 %, 3 %) (f, g) = (4 %, 4 %) (f, g) = (5 %, 5 %) H/Href b 8 /(b 8 ) ref 0.96 f fid = d A /d A,ref
15 <latexit sha1_base64="lpk5kgbyc/jwr80bod4fey+bphs=">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</latexit> <latexit sha1_base64="lpk5kgbyc/jwr80bod4fey+bphs=">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</latexit> <latexit sha1_base64="lpk5kgbyc/jwr80bod4fey+bphs=">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</latexit> <latexit sha1_base64="lpk5kgbyc/jwr80bod4fey+bphs=">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</latexit> <latexit sha1_base64="s5nbyvzzrqahqm9ufpqenf+houq=">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</latexit> <latexit sha1_base64="s5nbyvzzrqahqm9ufpqenf+houq=">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</latexit> <latexit sha1_base64="s5nbyvzzrqahqm9ufpqenf+houq=">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</latexit> <latexit sha1_base64="s5nbyvzzrqahqm9ufpqenf+houq=">aaacmxicbzdnsgmxfiuz9a/wv1gxbojfcfvmrncnubghgmgfwwttlzn0thuayqxjrijdvjib30tcdkgiw1/cti6grrcch+fcy809xssz0o4zsnjz8wuls/nlwsrq2vqgvblvv2eskdroyepz8igczgtunnmcgpeeengc7rzb2di/ewcpwchu9tccdkb6gvmmem2kjl1jwr4ka9xl8qkei02uokllbvjy9dy9nxatgiqpi5bp+unex1xkrg414wnasytoyzkungu3gylkqtqxn1vdkmybce05uarpopfuj0rqrjmkhvasicj0qhrqnchiakqdtc5o8z5rutgppxlc44n6eyihgvldwdodadf9ne2nxf+8zqz943bcrbrrepr7kr9zcyuex4e7talvfgiaumnmxzhtexobiugvtaju9mmzud8ouu7jvtksli+zopjob+2ifesii1rgfvrfnutri3pbr+jnerjg1rv18d2as7kzbfsnrm8vnooq5g==</latexit> Joint-analysis method f = N interloper OII N total LAE g = N interloper LAE N total OII
16 <latexit sha1_base64="9fihjyzh1ssqlykaf1wlpng5iig=">aaacbhicbzc7sgnbfibpei3xtmqzzjaivmfxbg2egi2frqrzgwqjs5pzzmjs7dizk4qlhy2vymohik0pyefbojtsoyk/dhz85xzond9ibnfgdb/ryura+szmaau8vbo7t+8chlz0ncrkmjqwseoerdpbjwsabgtrjiqrkbcshyyv83r7gsnny3lvjgnzizkuposuggv1nurwcxuz43ckr3dbw5zdmtd3qm7nnqkvg1dafqo1+s5xbxdtnglsueg07npuyvymkmopynnyl9usixrmhqxruzkiat+bhthfj9yz4dbw9kmdz+7viyxewk+iwhzgxiz0yi03/6t1uxne+hmxswqyppnfysqwixgecb5wxagrewuekm7/iumikeknza1sq/awt16g1lnns4ndnvfrt0ucjajamzycbxdqhxtoqbmopmizvmibekiv6b19zftxudfzbh+epn8a1ucwsq==</latexit> <latexit sha1_base64="9fihjyzh1ssqlykaf1wlpng5iig=">aaacbhicbzc7sgnbfibpei3xtmqzzjaivmfxbg2egi2frqrzgwqjs5pzzmjs7dizk4qlhy2vymohik0pyefbojtsoyk/dhz85xzond9ibnfgdb/ryura+szmaau8vbo7t+8chlz0ncrkmjqwseoerdpbjwsabgtrjiqrkbcshyyv83r7gsnny3lvjgnzizkuposuggv1nurwcxuz43ckr3dbw5zdmtd3qm7nnqkvg1dafqo1+s5xbxdtnglsueg07npuyvymkmopynnyl9usixrmhqxruzkiat+bhthfj9yz4dbw9kmdz+7viyxewk+iwhzgxiz0yi03/6t1uxne+hmxswqyppnfysqwixgecb5wxagrewuekm7/iumikeknza1sq/awt16g1lnns4ndnvfrt0ucjajamzycbxdqhxtoqbmopmizvmibekiv6b19zftxudfzbh+epn8a1ucwsq==</latexit> <latexit sha1_base64="9fihjyzh1ssqlykaf1wlpng5iig=">aaacbhicbzc7sgnbfibpei3xtmqzzjaivmfxbg2egi2frqrzgwqjs5pzzmjs7dizk4qlhy2vymohik0pyefbojtsoyk/dhz85xzond9ibnfgdb/ryura+szmaau8vbo7t+8chlz0ncrkmjqwseoerdpbjwsabgtrjiqrkbcshyyv83r7gsnny3lvjgnzizkuposuggv1nurwcxuz43ckr3dbw5zdmtd3qm7nnqkvg1dafqo1+s5xbxdtnglsueg07npuyvymkmopynnyl9usixrmhqxruzkiat+bhthfj9yz4dbw9kmdz+7viyxewk+iwhzgxiz0yi03/6t1uxne+hmxswqyppnfysqwixgecb5wxagrewuekm7/iumikeknza1sq/awt16g1lnns4ndnvfrt0ucjajamzycbxdqhxtoqbmopmizvmibekiv6b19zftxudfzbh+epn8a1ucwsq==</latexit> <latexit sha1_base64="9fihjyzh1ssqlykaf1wlpng5iig=">aaacbhicbzc7sgnbfibpei3xtmqzzjaivmfxbg2egi2frqrzgwqjs5pzzmjs7dizk4qlhy2vymohik0pyefbojtsoyk/dhz85xzond9ibnfgdb/ryura+szmaau8vbo7t+8chlz0ncrkmjqwseoerdpbjwsabgtrjiqrkbcshyyv83r7gsnny3lvjgnzizkuposuggv1nurwcxuz43ckr3dbw5zdmtd3qm7nnqkvg1dafqo1+s5xbxdtnglsueg07npuyvymkmopynnyl9usixrmhqxruzkiat+bhthfj9yz4dbw9kmdz+7viyxewk+iwhzgxiz0yi03/6t1uxne+hmxswqyppnfysqwixgecb5wxagrewuekm7/iumikeknza1sq/awt16g1lnns4ndnvfrt0ucjajamzycbxdqhxtoqbmopmizvmibekiv6b19zftxudfzbh+epn8a1ucwsq==</latexit> Key: genuine cross-correlation is 0! LAEs 0.4 P obs LAE OII (k) f = g = S/N for P obs LAE OII (k) >3 Gpc/h! k in h Mpc k in h Mpc OIIEs k? in h Mpc k? in h Mpc 1 0.0
17 f and g from cross spectrum Ideal case Worst case
18 Joint-analysis removes the bias!
19 <latexit sha1_base64="dvg6e90sisxj9to+ljw0xt9faqo=">aaab8nicbzdlssnafiyn9vbrrerszwarxnwkclorkm66cfhfxicnztkztemnmtbziptqx3djqhg3po0738zpm4w2/jdw8z9zmhn+pxfcg21/w4wv1bx1jejmawt7z3evvh/q1jjvllwoffj1fakz4dfraqfbuolijpif6/ijm2m988su5jj+ghhcvigmyh5yssby7j2+wkh/+rf21uixk3bvngkvg5ndbevq9stfvudsngixueg0dh07as8jcjgvbflqpzolhi7iglkgyxix7wwzlsf4xdgbdquylwy8c39pzctsehz5pjmimnsltan5x81nibz0mh4nkbcyzj8ku4fb4un9oockurbja4qqbnbfdeguowbskpkqnmwtl6fdqzqg784r9ds8jii6qsfofdnoatvrazvrc1ek0tn6rw8wwc/wu/uxby1y+cwh+ipr8wcfyy/m</latexit> <latexit sha1_base64="dvg6e90sisxj9to+ljw0xt9faqo=">aaab8nicbzdlssnafiyn9vbrrerszwarxnwkclorkm66cfhfxicnztkztemnmtbziptqx3djqhg3po0738zpm4w2/jdw8z9zmhn+pxfcg21/w4wv1bx1jejmawt7z3evvh/q1jjvllwoffj1fakz4dfraqfbuolijpif6/ijm2m988su5jj+ghhcvigmyh5yssby7j2+wkh/+rf21uixk3bvngkvg5ndbevq9stfvudsngixueg0dh07as8jcjgvbflqpzolhi7iglkgyxix7wwzlsf4xdgbdquylwy8c39pzctsehz5pjmimnsltan5x81nibz0mh4nkbcyzj8ku4fb4un9oockurbja4qqbnbfdeguowbskpkqnmwtl6fdqzqg784r9ds8jii6qsfofdnoatvrazvrc1ek0tn6rw8wwc/wu/uxby1y+cwh+ipr8wcfyy/m</latexit> <latexit sha1_base64="dvg6e90sisxj9to+ljw0xt9faqo=">aaab8nicbzdlssnafiyn9vbrrerszwarxnwkclorkm66cfhfxicnztkztemnmtbziptqx3djqhg3po0738zpm4w2/jdw8z9zmhn+pxfcg21/w4wv1bx1jejmawt7z3evvh/q1jjvllwoffj1fakz4dfraqfbuolijpif6/ijm2m988su5jj+ghhcvigmyh5yssby7j2+wkh/+rf21uixk3bvngkvg5ndbevq9stfvudsngixueg0dh07as8jcjgvbflqpzolhi7iglkgyxix7wwzlsf4xdgbdquylwy8c39pzctsehz5pjmimnsltan5x81nibz0mh4nkbcyzj8ku4fb4un9oockurbja4qqbnbfdeguowbskpkqnmwtl6fdqzqg784r9ds8jii6qsfofdnoatvrazvrc1ek0tn6rw8wwc/wu/uxby1y+cwh+ipr8wcfyy/m</latexit> <latexit sha1_base64="dvg6e90sisxj9to+ljw0xt9faqo=">aaab8nicbzdlssnafiyn9vbrrerszwarxnwkclorkm66cfhfxicnztkztemnmtbziptqx3djqhg3po0738zpm4w2/jdw8z9zmhn+pxfcg21/w4wv1bx1jejmawt7z3evvh/q1jjvllwoffj1fakz4dfraqfbuolijpif6/ijm2m988su5jj+ghhcvigmyh5yssby7j2+wkh/+rf21uixk3bvngkvg5ndbevq9stfvudsngixueg0dh07as8jcjgvbflqpzolhi7iglkgyxix7wwzlsf4xdgbdquylwy8c39pzctsehz5pjmimnsltan5x81nibz0mh4nkbcyzj8ku4fb4un9oockurbja4qqbnbfdeguowbskpkqnmwtl6fdqzqg784r9ds8jii6qsfofdnoatvrazvrc1ek0tn6rw8wwc/wu/uxby1y+cwh+ipr8wcfyy/m</latexit> Of course, we pay (a little) price R = d 2 A/H
20 <latexit sha1_base64="+kiehyofnmp/ddl90khuv9srnfa=">aaacc3icbvdlssnafj3uv62vqes3q4tqnzupgi4lunbrpij9qbpdzdpph0ysywyilnc9g3/fjqtf3pod7vwbp20w2npg4hdovdw5x+emsmvz30zhzxvtfao4wdra3tndm/cpojjjbsztnlbe9hwkcamxasuqgolxqvdkm9l1w8up330gqtikvlnjttwidwmauiyuljyz7fwrphd0q+ejdlhiuepg4gwoiobnc3ia3tc9s2lvrbngmrfzuge5wp755qwsneykvpghkfu2xzwbiaeozmrscljjomihgpk+pjgkihszwzyjpnbkaaaj0c9wckb+3shqjou48vvkhnrilnpt8t+vn6rgws1ozfnfyjw/fkqm6rztyucacoivg2ucskd6rxcpkeby6fpkugr7mfiy6drrtlwzb88qjwzerxecgtkoahucgwa4bi3qbhg8gmfwct6mj+pfedc+5qmfi985bh9gfp4a0r+zqq==</latexit> <latexit sha1_base64="+kiehyofnmp/ddl90khuv9srnfa=">aaacc3icbvdlssnafj3uv62vqes3q4tqnzupgi4lunbrpij9qbpdzdpph0ysywyilnc9g3/fjqtf3pod7vwbp20w2npg4hdovdw5x+emsmvz30zhzxvtfao4wdra3tndm/cpojjjbsztnlbe9hwkcamxasuqgolxqvdkm9l1w8up330gqtikvlnjttwidwmauiyuljyz7fwrphd0q+ejdlhiuepg4gwoiobnc3ia3tc9s2lvrbngmrfzuge5wp755qwsneykvpghkfu2xzwbiaeozmrscljjomihgpk+pjgkihszwzyjpnbkaaaj0c9wckb+3shqjou48vvkhnrilnpt8t+vn6rgws1ozfnfyjw/fkqm6rztyucacoivg2ucskd6rxcpkeby6fpkugr7mfiy6drrtlwzb88qjwzerxecgtkoahucgwa4bi3qbhg8gmfwct6mj+pfedc+5qmfi985bh9gfp4a0r+zqq==</latexit> <latexit sha1_base64="+kiehyofnmp/ddl90khuv9srnfa=">aaacc3icbvdlssnafj3uv62vqes3q4tqnzupgi4lunbrpij9qbpdzdpph0ysywyilnc9g3/fjqtf3pod7vwbp20w2npg4hdovdw5x+emsmvz30zhzxvtfao4wdra3tndm/cpojjjbsztnlbe9hwkcamxasuqgolxqvdkm9l1w8up330gqtikvlnjttwidwmauiyuljyz7fwrphd0q+ejdlhiuepg4gwoiobnc3ia3tc9s2lvrbngmrfzuge5wp755qwsneykvpghkfu2xzwbiaeozmrscljjomihgpk+pjgkihszwzyjpnbkaaaj0c9wckb+3shqjou48vvkhnrilnpt8t+vn6rgws1ozfnfyjw/fkqm6rztyucacoivg2ucskd6rxcpkeby6fpkugr7mfiy6drrtlwzb88qjwzerxecgtkoahucgwa4bi3qbhg8gmfwct6mj+pfedc+5qmfi985bh9gfp4a0r+zqq==</latexit> <latexit sha1_base64="+kiehyofnmp/ddl90khuv9srnfa=">aaacc3icbvdlssnafj3uv62vqes3q4tqnzupgi4lunbrpij9qbpdzdpph0ysywyilnc9g3/fjqtf3pod7vwbp20w2npg4hdovdw5x+emsmvz30zhzxvtfao4wdra3tndm/cpojjjbsztnlbe9hwkcamxasuqgolxqvdkm9l1w8up330gqtikvlnjttwidwmauiyuljyz7fwrphd0q+ejdlhiuepg4gwoiobnc3ia3tc9s2lvrbngmrfzuge5wp755qwsneykvpghkfu2xzwbiaeozmrscljjomihgpk+pjgkihszwzyjpnbkaaaj0c9wckb+3shqjou48vvkhnrilnpt8t+vn6rgws1ozfnfyjw/fkqm6rztyucacoivg2ucskd6rxcpkeby6fpkugr7mfiy6drrtlwzb88qjwzerxecgtkoahucgwa4bi3qbhg8gmfwct6mj+pfedc+5qmfi985bh9gfp4a0r+zqq==</latexit> Interloper vs. non-gaussianity f NL b(k) / f NL /k 2
21 Joint-analysis works again!
22 The case of WFIRST High Latitude Spectrographic Survey uses slitless grism spectrograph (1.39µm µm) Main: 16.4 Million HAEs (6563) Interlopers: 1.4 Million [OIII] λ5007 Assumption: at z~2, HAEs almost always show [OIII] λ5007.
23 Interloper bias for WFIRST
24 Again, joint-fitting is a remedy
25 Conclusion In the emission line surveys, the ambiguity in line identification can cause the interloper bias. Joint-fitting method can solve the problem: We can measure the contamination fraction to high accuracy Cosmological parameters estimated for the joint analysis is not biased, although the measurement uncertainties increase a little. Future work: analysis for the large-area surveys (Euclid, SPHEREx)
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