Cosmological Constraints from the SDSS Luminous Re

arXiv:astro-ph/0608632v230Oct2006CosmologicalConstraintsfromtheSDSSLuminousRedGalaxiesMaxTegmark1,DanielJ.Eisenstein2,MichaelA.Strauss3,DavidH.Weinberg4,MichaelR.Blanton5,JoshuaA.Frieman6,7,MasatakaFukugita8,JamesE.Gunn3,AndrewJ.S.Hamilton9,GillianR.Knapp3,RobertC.Nichol10,JeremiahP.Ostriker3,NikhilPadmanabhan11,WillJ.Percival10,DavidJ.Schlegel12,DonaldP.Schneider13,RomanScoccimarro5,UroˇsSeljak14,11,Hee-JongSeo2,MollySwanson1,AlexanderS.Szalay15,MichaelS.Vogeley16,JaiyulYoo4,IditZehavi17,KevorkAbazajian18,ScottF.Anderson19,JamesAnnis7,NetaA.Bahcall3,BruceBassett20,21,AndreasBerlind5,JonBrinkmann22,Tam´asBudavari15,FranciscoCastander23,AndrewConnolly24,IstvanCsabai15,MamoruDoi25,DouglasP.Finkbeiner3,26,BruceGillespie22,KarlGlazebrook15,GregoryS.Hennessy27,DavidW.Hogg5,ˇZeljkoIvezi´c19,3,BhuvneshJain28,DavidJohnston29,30,StephenKent7,DonaldQ.Lamb6,31,BrianC.Lee32,12,HuanLin7,JonLoveday33,RobertH.Lupton3,JeffreyA.Munn27,KaikePan22,ChangbomPark34,JohnPeoples7,JeffreyR.Pier27,AdrianPope15,MichaelRichmond35,ConstanceRockosi6,RyanScranton24,RaviK.Sheth28,AlbertStebbins7,ChristopherStoughton7,Istv´anSzapudi36,DouglasL.Tucker7,DanielE.VandenBerk24,BrianYanny7,DonaldG.York6,311Dept.ofPhysics,MassachusettsInstituteofTechnology,Cambridge,MA02139,USA;2DepartmentofAstronomy,UniversityofArizona,Tucson,AZ85721,USA;3PrincetonUniversityObservatory,Princeton,NJ08544,USA;4Dept.ofAstronomy,OhioStateUniversity,Columbus,OH43210,USA;5CenterforCosmologyandParticlePhysics,Dept.ofPhysics,NewYorkUniversity,4WashingtonPl.,NewYork,NY10003,USA;6CenterforCosmologicalPhysicsandDepartmentofAstronomy&Astrophysics,Univ.ofChicago,Chicago,IL60637,USA;7FermiNationalAcceleratorLaboratory,P.O.Box500,Batavia,IL60510,USA;8Inst.forCosmicRayResearch,Univ.ofTokyo,5-1-5,Kashiwanoha,Kashiwa,Chiba,277-8582,Japan;9JILAandDept.ofAstrophysicalandPlanetarySciences,Univ.ofColorado,Boulder,CO80309,USA;10Inst.ofCosmology&Gravitation,Univ.ofPortsmouth,Portsmouth,P012EG,UnitedKingdom;11Dept.ofPhysics,PrincetonUniversity,Princeton,NJ08544,USA;12LawrenceBerkeleyNationalLaboratory,Berkeley,CA94720,USA;13Dept.ofAstronomyandAstrophysics,PennsylvaniaStateUniversity,UniversityPark,PA16802,USA;14InternationalCenterforTheoreticalPhysics,StradaCostiera11,34014Trieste,Italy;15DepartmentofPhysicsandAstronomy,TheJohnsHopkinsUniversity,3701SanMartinDrive,Baltimore,MD21218,USA;16Dept.ofPhysics,DrexelUniversity,Philadelphia,PA19104,USA;17Dept.ofAstronomy,CaseWesternReserveUniversity,10900EuclidAvenue,Cleveland,OH44106-7215;18TheoreticalDivision,LosAlamosNationalLaboratory,LosAlamos,NM87545,USA;19Dept.ofAstronomy,Univ.ofWashington,Box351580,Seattle,WA98195;20SouthAfricanAstronomicalObservatory,CapeTown,SouthAfrica;21AppliedMathematicsDept.,Univ.ofCapeTown,CapeTown,SouthAfrica;22ApachePointObservatory,2001ApachePointRd,Sunspot,NM88349-0059,USA;23Institutd’EstudisEspacialsdeCatalunya/CSIC,CampusUAB,08034Barcelona,Spain;24UniversityofPittsburgh,DepartmentofPhysicsandAstronomy,3941O’HaraStreet,Pittsburgh,PA15260,USA;25Inst.ofAstronomy,Univ.ofTokyo,Osawa2-21-1,Mitaka,Tokyo,181-0015,Japan;26Harvard-SmithsonianCenterforAstrophysics,60GardenStreet,MS46,Cambridge,MA02138;27U.S.NavalObservatory,FlagstaffStation,10391W.NavalObs.Rd.,Flagstaff,AZ86001-8521,USA;28DepartmentofPhysics,UniversityofPennsylvania,Philadelphia,PA19104,USA;29JetPropulsionLaboratory,4800OakGroveDr.,PasadenaCA,91109,USA;30CaliforniaInst.ofTechnology,1200EastCaliforniaBlvd.,Pasadena,CA91125,USA;31EnricoFermiInstitute,UniversityofChicago,Chicago,IL60637,USA;32GatanInc.,Pleasanton,CA94588;33SussexAstronomyCentre,UniversityofSussex,Falmer,BrightonBN19QJ,UK;34DepartmentofAstronomy,SeoulNationalUniversity,151-742,Korea;35PhysicsDept.,RochesterInst.ofTechnology,1LombMemorialDr,Rochester,NY14623,USA;36InstituteforAstronomy,UniversityofHawaii,2680,WoodlawnDrive,Honolulu,HI96822,USA;(Dated:SubmittedtoPhys.Rev.D.August222006,revisedOctober10,acceptedOctober26)2Wemeasurethelarge-scalereal-spacepowerspectrumP(k)usingluminousredgalaxies(LRGs)intheSloanDigitalSkySurvey(SDSS)andusethismeasurementtosharpenconstraintsoncos-mologicalparametersfromtheWilkinsonMicrowaveAnisotropyProbe(WMAP).Weemployamatrix-basedpowerspectrumestimationmethodusingPseudo-Karhunen-Lo`eveeigenmodes,pro-ducinguncorrelatedminimum-variancemeasurementsin20k-bandsofboththeclusteringpoweranditsanisotropyduetoredshift-spacedistortions,withnarrowandwell-behavedwindowfunctionsintherange0.01h/Mpck0.2h/Mpc.ResultsfromtheLRGandmaingalaxysamplesarecon-sistent,withtheformerprovidinghighersignal-to-noise.Ourresultsarerobusttoomittingangularandradialdensityfluctuationsandareconsistentbetweendifferentpartsofthesky.Theyprovideastrikingconfirmationofthepredictedlarge-scaleΛCDMpowerspectrum.CombiningonlySDSSLRGandWMAPdataplacesrobustconstraintsonmanycosmologicalparametersthatcomplementprioranalysesofmultipledatasets.TheLRGsprovideindependentcross-checksonΩmandthebaryonfractioningoodagreementwithWMAP.WithinthecontextofflatΛCDMmodels,ourLRGmeasurementscomplementWMAPbysharpeningtheconstrain