A measurement of weak lensing by large scale structure in RCS fields
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arXiv:astro-ph/0202285v1 14 Feb 2002DraftversionFebruary1,2008
PreprinttypesetusingLATEXstyleemulateapjv.14/09/00
AMEASUREMENTOFWEAKLENSINGBYLARGESCALESTRUCTUREINRCSFIELDS
HenkHoekstra1,2,3,HowardK.C.Yee2,3,4,MichaelD.Gladders2,3,4,L.FelipeBarrientos4,5,PatrickB.Hall2,3,4,5,6,andLeopoldoInfante4,5
DraftversionFebruary1,2008
ABSTRACT
Wehaveanalysed∼24squaredegreesofRC-bandimagingdatafromtheRed-SequenceCluster
Survey(RCS),andmeasuredtheexcesscorrelationsbetweengalaxyellipticitiesonscalesrangingfrom1
to30arcminutes.Wehaveuseddatafromtwodifferenttelescopes:∼16.4squaredegreesofCFHTdataand∼7.6squaredegreesofCTIO4-meterdata,distributedover13widelyseparatedpatches.Forthe
firsttime,adirectcomparisoncanbemadeofthelensingsignalmeasuredusingdifferentinstruments,whichprovidesanimportanttestoftheweaklensinganalysisitself.Themeasurementsobtainedfrom
thetwotelescopesagreewell.Forthelensinganalysisweusegalaxiesdowntoalimitingmagnitudeof
RC=24,forwhichtheredshiftdistributionisknownrelativelywell.Thisallowsustoconstrainsomecosmologicalparameters.ForthecurrentlyfavoredΛCDMmodel(Ωm=0.3,ΩΛ=0.7,Γ=0.21)
weobtainσ8=0.81+0.14−0.19(95%confidence),inagreementwiththeresultsfromVanWaerbekeetal.
(2001)whichusedfaintergalaxies(andconsequentlyhigherredshiftgalaxies).Thegoodagreement
betweenthesetwoverydifferentweaklensingstudiesdemonstratesthatweaklensingisausefultoolinobservationalcosmology.
Subjectheadings:cosmology:observations−darkmatter−gravitationallensing
1.introduction
Weakgravitationallensinghasproventobeapowerful
toolforstudiesofthemassdistributioninrichclustersof
galaxies(forareviewseeMellier1999).Sincethepioneer-ingworkbyTyson,Wenk,&Valdes(1990)muchprogress
hasbeenmade,andnowadaystheweaklensingsignalsin-
ducedbyclustersofgalaxiesatintermediateredshiftscanbemeasuredwithoutmuchdifficulty.
Thedevelopmentofadvancedtechniquestocorrect
forthevariousobservationaldistortions,suchastheanisotropyofthepointspreadfunction(PSF),thecircu-
larizationbythePSF,andthecamerainduceddistortion,
hasbeenacrucialstep,resultinginwellcalibratedsig-nals(e.g.,Kaiser,Squires,&Broadhurst1995;Luppino&
Kaiser1997;Hoekstraetal.1998;Kuijken1999;Refregier
2001).AnotherimportantdevelopmentinrecentyearsistheadventofmosaicCCDcameras,whichenableusto
quicklyimagelargeportionsofthesky.
Theseadvanceshavemadeitpossibletopursueoneofthemostdifficultmeasurementsinthefieldofweaklens-
ing:themeasurementofthecoherentdistortionsofthe
imagesoffaintgalaxiescausedbylensingbyinterveninglargescalestructure,theso-called‘cosmicshear’.The
analysisofthislensingsignalprovidesanimportantdirect
1CITA,UniversityofToronto,Toronto,OntarioM5S3H8,Canada2DepartmentofAstronomyandAstrophysics,UniversityofToronto,Toronto,OntarioM5S3H8,Canada3VisitingAstronomer,Canada-France-HawaiiTelescope,whichisoperatedbytheNationalResearchCouncilofCanada,LeCentreNationaldeRechercheScientifique,andtheUniversityofHawaii4GuestobserverattheCerroTololoInter-AmericanObservatory(CTIO),adivisionoftheNationalOpticalAstronomyObservato-ries,whichisoperatedbytheAssociationofUniversitiesforResearchinAstronomy,Inc.,undercooperativeagreementwiththeNationalScienceFoundation5UniversidadCat´olicadeChile,Depto.Astronom´ıayAstrof´ısica,Avda.Vicu˜naMackenna4860,Casilla306,Santiago22,Chile6PrincetonUniversityObservatory,Princeton,NJ98544-1001measurementofthestatisticalpropertiesofthelargescale
massdistribution(e.g.,Blandfordetal1991;Kaiser1992;
Bernardeau,vanWaerbeke,&Mellier1997;Schneideretal.1998).
Comparedtomanyothermethodsthatareusedtocon-straincosmologicalparameters,weaklensinghasthead-
vantagethatnoassumptionsaboutthelightdistribution
arerequired.However,weaklensinginitselfcannotcon-strainalltheparameters,becauseofdegeneraciesbetween
them.Betterconstraintscanbeobtainedbycomparing
weaklensingstudiesthatprobedifferentredshifts(e.g.,Hu1999)orwhenthesedataarecombinedwithmeasure-
mentsofthefluctuationsofthecosmicmicrowaveback-
ground(e.g.,Hu&Tegmark1999).Bynow,severalgroupshavereportedthedetectionof
anexcesscorrelationbetweengalaxyellipticities,andhave
arguedthatthissignaliscausedbylensingbylargescalestructure(e.g.,Baconetal.2000;Kaiser,Wilson,&Lup-
pino2000;vanWaerbekeetal.2000;Wittmanetal.2000;
Maolietal.2001;vanWaerbekeetal.2001).Maolietal.(2001)combinedtheirownresultswithpublishedmea-
surementsinanattempttoobtainconstraintsonσ8,the
normalisationofthepowerspectrum,andΩm,thematterdensityoftheuniverse.Theyfoundgoodagreementwith
studiesofclusterabundances.However,thedatasetstud-
iedbyMaolietal.(2001)isveryinhomogeneous,whichlimitstheaccuracyofsuchadirectcomparison.
Aftertheseinitialdetections,whichdemonstratedthe
feasibilityofthemethod,theobviousnextstepistoob-tainlargeuniformdatasets.Thefirstresultsfromsuch