This is the recipe that I used in Eisenstein et al (2005) to predict the LRG xi(s) for different cosmologies. 1) Run CMBfast for the desired cosmology and form P(k). Normalize to some fiducial level (I use sigma_16 = 0.95, but it doesn't matter). 2) Use the Eisenstein & Hu fitting formula to generate the standard T_eh(k) and the no-wiggle form T_nw(k). 3) Interpolate between T_eh and T_nw using exp(-(k*7)**2). i.e., set x=exp(-49*k**2), then T = T_eh*x + T_nw*(1-x) Divide T by T_eh and square that. Multiply this onto P(k). When interpolating onto my k-grid, I use splines in log k - log P space. Note: This is to smear out the acoustic peaks while leaving the rest of P(k) unchanged. I probably should have smeared in the CMBfast T(k) instead of the EH98 T(k), but I don't think it matters much. 4) Correct the "linear" P(k) to the non-linear matter P(k) by multiplying by a correction from the Peacock & Smith halofit program. I used Omega_m = 0.30, Gamma = 0.162, z=0.3, sigma8 = 0.85 (output attached below). I multiply P(k) by the ratio of the non-linear to the linear power spectrum from the halofit program. When interpolating onto my k-grid, I use splines in log k - log P space. 5) Convolve this P(k) to xi(r) using the sin(kr)/kr transform. I multiply P(k) by the square of 3*j_1(ks)/ks for s=1 h^-1 Mpc, just to make the convergence easier. This is equivalent to smoothing the density field with a 1 Mpc radius tophat. 6) Correct from the non-linear real-space matter xi(r) to the redshift-space galaxy xi(r) by multiplying by the square of 1 + 0.06/[1+(0.06*r)**6]. This assumes r is measured in h^-1 Mpc units. This was fit from Nbody simulations with fake galaxies. 7) I then dilate the scale to match the hypothesis, and spline interpolate the theory predicted xi(r) onto the center of the observed bins. I'm not averaging over the observed bin; they are pretty narrow. 8) When computing chi^2, I marginalize over a constant bias to adjust the amplitude of the model xi(r) to the data. =========================================================================== The halofit file that I use is below. Column 1 is k in h^-1 Mpc, column 2 is the linear Delta^2, column 3 is non-linear Delta^2. Again, I divide column 3 by column 2 and use that as the correction. 401 0.0001 1.53426606E-11 1.53417979E-11 1.53417724E-11 2.54369507E-17 0.000103514217 1.7613268E-11 1.76122429E-11 1.76122126E-11 3.03021755E-17 0.000107151931 2.02197956E-11 2.02185775E-11 2.02185414E-11 3.60979458E-17 0.000110917482 2.32119181E-11 2.32104707E-11 2.32104277E-11 4.30022403E-17 0.000114815362 2.66466518E-11 2.66449319E-11 2.66448807E-11 5.12270782E-17 0.000118850223 3.05894386E-11 3.0587395E-11 3.05873339E-11 6.10250295E-17 0.000123026877 3.51153899E-11 3.51129616E-11 3.51128889E-11 7.26969706E-17 0.000127350308 4.03107145E-11 4.03078292E-11 4.03077426E-11 8.66013237E-17 0.000131825674 4.62743566E-11 4.62709283E-11 4.62708252E-11 1.03165062E-16 0.000136458314 5.31198755E-11 5.3115802E-11 5.31156791E-11 1.22896821E-16 0.000141253754 6.09776021E-11 6.09727621E-11 6.09726157E-11 1.46402517E-16 0.000146217717 6.9997114E-11 6.99913632E-11 6.99911888E-11 1.74403952E-16 0.000151356125 8.03500742E-11 8.03432414E-11 8.03430336E-11 2.07760978E-16 0.000156675107 9.22334892E-11 9.22253708E-11 9.22251233E-11 2.47497898E-16 0.00016218101 1.05873446E-10 1.058638E-10 1.05863505E-10 2.94834921E-16 0.000167880402 1.215294E-10 1.21517939E-10 1.21517588E-10 3.51225623E-16 0.000173780083 1.39499093E-10 1.39485477E-10 1.39485059E-10 4.18401587E-16 0.000179887092 1.60124199E-10 1.60108021E-10 1.60107523E-10 4.98425566E-16 0.000186208714 1.83796792E-10 1.83777572E-10 1.83776978E-10 5.93754819E-16 0.000192752491 2.10966778E-10 2.10943943E-10 2.10943236E-10 7.07316564E-16 0.000199526231 2.42150407E-10 2.42123277E-10 2.42122435E-10 8.42597852E-16 0.000206538016 2.77940043E-10 2.77907812E-10 2.77906808E-10 1.00375264E-15 0.000213796209 3.19015373E-10 3.18977082E-10 3.18975886E-10 1.19572931E-15 0.000221309471 3.66156254E-10 3.66110763E-10 3.66109339E-10 1.42442265E-15 0.000229086765 4.20257453E-10 4.2020341E-10 4.20201713E-10 1.69685478E-15 0.000237137371 4.82345549E-10 4.82281347E-10 4.82279326E-10 2.02139081E-15 0.000245470892 5.53598318E-10 5.53522049E-10 5.53519641E-10 2.40799563E-15 0.000254097271 6.35366958E-10 6.35276354E-10 6.35273485E-10 2.86853987E-15 0.000263026799 7.29201571E-10 7.2909394E-10 7.29090523E-10 3.41716436E-15 0.000272270131 8.36880392E-10 8.36752536E-10 8.36748466E-10 4.07071425E-15 0.000281838293 9.60443282E-10 9.60291405E-10 9.60286556E-10 4.8492562E-15 0.000291742701 1.10223014E-09 1.10204974E-09 1.10204396E-09 5.77669443E-15 0.000301995172 1.26492495E-09 1.26471066E-09 1.26470377E-09 6.88150462E-15 0.000312607937 1.45160622E-09 1.45135167E-09 1.45134347E-09 8.19760807E-15 0.000323593657 1.66580485E-09 1.6655025E-09 1.66549274E-09 9.76541308E-15 0.000334965439 1.91157046E-09 1.91121134E-09 1.91119971E-09 1.16330555E-14 0.00034673685 2.19354734E-09 2.19312081E-09 2.19310695E-09 1.38578764E-14 0.000358921935 2.51706159E-09 2.51655499E-09 2.51653848E-09 1.65081823E-14 0.000371535229 2.88822085E-09 2.88761917E-09 2.8875995E-09 1.96653421E-14 0.000384591782 3.31402868E-09 3.31331409E-09 3.31329067E-09 2.34262848E-14 0.000398107171 3.80251555E-09 3.80166689E-09 3.80163898E-09 2.79064751E-14 0.000412097519 4.3628889E-09 4.36188104E-09 4.3618478E-09 3.32434575E-14 0.000426579519 5.00570506E-09 5.00450817E-09 5.00446857E-09 3.96010783E-14 0.000441570447 5.74306611E-09 5.74164478E-09 5.74159761E-09 4.71745151E-14 0.00045708819 6.58884545E-09 6.58715765E-09 6.58710145E-09 5.61962672E-14 0.000473151259 7.55894595E-09 7.55694178E-09 7.55687483E-09 6.69432924E-14 0.000489778819 8.67159568E-09 8.66921592E-09 8.66913617E-09 7.97455074E-14 0.000506990708 9.94768643E-09 9.94486077E-09 9.94476578E-09 9.49959133E-14 0.00052480746 1.14111612E-08 1.14078062E-08 1.14076931E-08 1.13162658E-13 0.000543250331 1.30894578E-08 1.30854745E-08 1.30853397E-08 1.34803405E-13 0.000562341325 1.50140165E-08 1.50092875E-08 1.50091269E-08 1.60582444E-13 0.000582103218 1.72208611E-08 1.72152469E-08 1.72150556E-08 1.91291082E-13 0.000602559586 1.97512632E-08 1.97445984E-08 1.97443705E-08 2.27871926E-13 0.000623734835 2.26525031E-08 2.26445915E-08 2.264432E-08 2.71447806E-13 0.000645654229 2.59787393E-08 2.59693479E-08 2.59690246E-08 3.23356234E-13 0.000668343918 2.97920031E-08 2.97808558E-08 2.97804707E-08 3.85190445E-13 0.000691830971 3.41633362E-08 3.41501054E-08 3.41496466E-08 4.58848284E-13 0.00071614341 3.9174091E-08 3.91583882E-08 3.91578416E-08 5.46590435E-13 0.000741310241 4.49174173E-08 4.48987814E-08 4.48981303E-08 6.51109789E-13 0.000767361489 5.14999603E-08 5.14778449E-08 5.14770692E-08 7.75614059E-13 0.000794328235 5.90438028E-08 5.90175595E-08 5.90166356E-08 9.23924194E-13 0.00082224265 6.76886818E-08 6.76575421E-08 6.76564416E-08 1.1005916E-12 0.000851138038 7.75945217E-08 7.75575745E-08 7.75562635E-08 1.31103775E-12 0.000881048873 8.89443269E-08 8.89004919E-08 8.88989302E-08 1.56172052E-12 0.000912010839 1.01947483E-07 1.0189548E-07 1.0189362E-07 1.86033223E-12 0.000944060876 1.16843528E-07 1.16781839E-07 1.16779623E-07 2.21603565E-12 0.000977237221 1.33906451E-07 1.33833277E-07 1.33830637E-07 2.63974496E-12 0.00101157945 1.53449598E-07 1.53362808E-07 1.53359663E-07 3.14446052E-12 0.00104712855 1.75831272E-07 1.7572834E-07 1.75724595E-07 3.74566755E-12 0.00108392691 2.01461113E-07 2.01339048E-07 2.01334586E-07 4.46181099E-12 0.00112201845 2.30807368E-07 2.30662625E-07 2.3065731E-07 5.31486104E-12 0.00116144861 2.64405185E-07 2.64233567E-07 2.64227236E-07 6.33098689E-12 0.00120226443 3.02866053E-07 3.02662589E-07 3.02655048E-07 7.54135893E-12 0.00124451461 3.46888555E-07 3.46647359E-07 3.46638376E-07 8.98310443E-12 0.00128824955 3.97270614E-07 3.96984718E-07 3.96974017E-07 1.07004456E-11 0.00133352143 4.54923422E-07 4.54584576E-07 4.5457183E-07 1.27460552E-11 0.00138038426 5.2088729E-07 5.20485733E-07 5.2047055E-07 1.51826706E-11 0.00142889396 5.96349678E-07 5.95873856E-07 5.95855771E-07 1.80850171E-11 0.00147910839 6.82665678E-07 6.82101924E-07 6.82080382E-07 2.1542097E-11 0.00153108746 7.813813E-07 7.80713446E-07 7.80687786E-07 2.56599175E-11 0.00158489319 8.94259914E-07 8.93468839E-07 8.93438275E-07 3.05647378E-11 0.00164058977 1.02331227E-06 1.02237537E-06 1.02233896E-06 3.64069375E-11 0.00169824365 1.17083058E-06 1.16972111E-06 1.16967774E-06 4.33656227E-11 0.00175792361 1.33942711E-06 1.33811348E-06 1.33806183E-06 5.16541112E-11 0.00181970086 1.53207804E-06 1.53052293E-06 1.5304614E-06 6.15264655E-11 0.00188364909 1.75217307E-06 1.75033235E-06 1.75025906E-06 7.32852717E-11 0.0019498446 2.00357159E-06 2.00139316E-06 2.00130587E-06 8.72909035E-11 0.00201836636 2.29066633E-06 2.28808866E-06 2.28798469E-06 1.03972553E-10 0.00208929613 2.61845528E-06 2.61540575E-06 2.61528191E-06 1.23841366E-10 0.00216271852 2.99262304E-06 2.9890159E-06 2.98886839E-06 1.47506087E-10 0.00223872114 3.41963266E-06 3.41536675E-06 3.41519106E-06 1.75691677E-10 0.00231739465 3.90682938E-06 3.90178538E-06 3.90157612E-06 2.092615E-10 0.00239883292 4.46255767E-06 4.45659483E-06 4.45634559E-06 2.49243718E-10 0.00248313311 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