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Black Hole

Lensing of space time around a black hole. At Oxford we study black holes observationally and theoretically on all size and time scales - it is some of our core work.

Credit: ALAIN RIAZUELO, IAP/UPMC/CNRS. CLICK HERE TO VIEW MORE IMAGES.

Jo Dunkley

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  • Astrophysics
jo.dunkley@physics.ox.ac.uk
Denys Wilkinson Building, room 532E
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  • Publications

The atacama cosmology telescope: Relation between galaxy cluster optical richness and Sunyaev-Zel'dovich effect

Astrophysical Journal 767:1 (2013)

Authors:

N Sehgal, G Addison, N Battaglia, ES Battistelli, JR Bond, S Das, MJ Devlin, J Dunkley, R DĂŒnner, M Gralla, A Hajian, M Halpern, M Hasselfield, M Hilton, AD Hincks, R Hlozek, JP Hughes, A Kosowsky, YT Lin, T Louis, TA Marriage, D Marsden, F Menanteau, K Moodley, MD Niemack, LA Page, B Partridge, ED Reese, BD Sherwin, J Sievers, C SifĂłn, DN Spergel, ST Staggs, DS Swetz, ER Switzer, E Wollack

Abstract:

We present the measured Sunyaev-Zel'dovich (SZ) flux from 474 optically selected MaxBCG clusters that fall within the Atacama Cosmology Telescope (ACT) Equatorial survey region. The ACT Equatorial region used in this analysis covers 510 deg2 and overlaps Stripe 82 of the Sloan Digital Sky Survey. We also present the measured SZ flux stacked on 52 X-ray-selected MCXC clusters that fall within the ACT Equatorial region and an ACT Southern survey region covering 455 deg2. We find that the measured SZ flux from the X-ray-selected clusters is consistent with expectations. However, we find that the measured SZ flux from the optically selected clusters is both significantly lower than expectations and lower than the recovered SZ flux measured by the Planck satellite. Since we find a lower recovered SZ signal than Planck, we investigate the possibility that there is a significant offset between the optically selected brightest cluster galaxies (BCGs) and the SZ centers, to which ACT is more sensitive due to its finer resolution. Such offsets can arise due to either an intrinsic physical separation between the BCG and the center of the gas concentration or from misidentification of the cluster BCG. We find that the entire discrepancy for both ACT and Planck can be explained by assuming that the BCGs are offset from the SZ maxima with a uniform random distribution between 0 and 1.5 Mpc. Such large offsets between gas peaks and BCGs for optically selected cluster samples seem unlikely given that we find the physical separation between BCGs and X-ray peaks for an X-ray-selected subsample of MaxBCG clusters to have a much narrower distribution that peaks within 0.2 Mpc. It is possible that other effects are lowering the ACT and Planck signals by the same amount, with offsets between BCGs and SZ peaks explaining the remaining difference between ACT and Planck measurements. Several effects that can lower the SZ signal equally for both ACT and Planck, but not explain the difference in measured signals, include a larger percentage of false detections in the MaxBCG sample, a lower normalization of the mass-richness relation, radio or infrared galaxy contamination of the SZ flux, and a low intrinsic SZ signal. In the latter two cases, the effects would need to be preferentially more significant in the optically selected MaxBCG sample than in the MCXC X-ray sample. © 2013. The American Astronomical Society. All rights reserved.

Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity

ArXiv 1303.5084 (2013)

Authors:

Planck Collaboration, PAR Ade, N Aghanim, C Armitage-Caplan, M Arnaud, M Ashdown, F Atrio-Barandela, J Aumont, C Baccigalupi, AJ Banday, RB Barreiro, JG Bartlett, N Bartolo, E Battaner, K Benabed, A BenoĂźt, A Benoit-LĂ©vy, J-P Bernard, M Bersanelli, P Bielewicz, J Bobin, JJ Bock, A Bonaldi, L Bonavera, JR Bond, J Borrill, FR Bouchet, M Bridges, M Bucher, C Burigana, RC Butler, J-F Cardoso, A Catalano, A Challinor, A Chamballu, HC Chiang, L-Y Chiang, PR Christensen, S Church, DL Clements, S Colombi, LPL Colombo, F Couchot, A Coulais, BP Crill, A Curto, F Cuttaia, L Danese, RD Davies, RJ Davis, P de Bernardis, A de Rosa, G de Zotti, J Delabrouille, J-M Delouis, F-X DĂ©sert, JM Diego, H Dole, S Donzelli, O DorĂ©, M Douspis, A Ducout, J Dunkley, X Dupac, G Efstathiou, F Elsner, TA Enßlin, HK Eriksen, J Fergusson, F Finelli, O Forni, M Frailis, E Franceschi, S Galeotta, K Ganga, M Giard, Y Giraud-HĂ©raud, J GonzĂĄlez-Nuevo, KM GĂłrski, S Gratton, A Gregorio, A Gruppuso, FK Hansen, D Hanson, D Harrison, A Heavens, S Henrot-VersillĂ©, C HernĂĄndez-Monteagudo, D Herranz, SR Hildebrandt, E Hivon, M Hobson, WA Holmes, A Hornstrup, W Hovest, KM Huffenberger, AH Jaffe, TR Jaffe, WC Jones, M Juvela, E KeihĂ€nen, R Keskitalo, TS Kisner, J Knoche, L Knox, M Kunz, H Kurki-Suonio, F Lacasa, G Lagache, A LĂ€hteenmĂ€ki, J-M Lamarre, A Lasenby, RJ Laureijs, CR Lawrence, JP Leahy, R Leonardi, J Lesgourgues, A Lewis, M Liguori, PB Lilje, M Linden-VĂžrnle, M LĂłpez-Caniego, PM Lubin, JF MacĂ­as-PĂ©rez, B Maffei, D Maino, N Mandolesi, A Mangilli, D Marinucci, M Maris, DJ Marshall, PG Martin, E MartĂ­nez-GonzĂĄlez, S Masi, M Massardi, S Matarrese, F Matthai, P Mazzotta, PR Meinhold, A Melchiorri, L Mendes, A Mennella, M Migliaccio, S Mitra, M-A Miville-DeschĂȘnes, A Moneti, L Montier, G Morgante, D Mortlock, A Moss, D Munshi, JA Murphy, P Naselsky, P Natoli, CB Netterfield, HU NĂžrgaard-Nielsen, F Noviello, D Novikov, I Novikov, S Osborne, CA Oxborrow, F Paci, L Pagano, F Pajot, D Paoletti, F Pasian, G Patanchon, HV Peiris, O Perdereau, L Perotto, F Perrotta, F Piacentini, M Piat, E Pierpaoli, D Pietrobon, S Plaszczynski, E Pointecouteau, G Polenta, N Ponthieu, L Popa, T Poutanen, GW Pratt, G PrĂ©zeau, S Prunet, J-L Puget, JP Rachen, B Racine, R Rebolo, M Reinecke, M Remazeilles, C Renault, A Renzi, S Ricciardi, T Riller, I Ristorcelli, G Rocha, C Rosset, G Roudier, JA Rubiño-MartĂ­n, B Rusholme, M Sandri, D Santos, G Savini, D Scott, MD Seiffert, EPS Shellard, K Smith, LD Spencer, J-L Starck, V Stolyarov, R Stompor, R Sudiwala, R Sunyaev, F Sureau, P Sutter, D Sutton, A-S Suur-Uski, J-F Sygnet, JA Tauber, D Tavagnacco, L Terenzi, L Toffolatti, M Tomasi, M Tristram, M Tucci, J Tuovinen, L Valenziano, J Valiviita, B Van Tent, J Varis, P Vielva, F Villa, N Vittorio, LA Wade, BD Wandelt, M White, SDM White, D Yvon, A Zacchei, A Zonca

Abstract:

The Planck nominal mission cosmic microwave background (CMB) maps yield unprecedented constraints on primordial non-Gaussianity (NG). Using three optimal bispectrum estimators, separable template-fitting (KSW), binned, and modal, we obtain consistent values for the primordial local, equilateral, and orthogonal bispectrum amplitudes, quoting as our final result fNL^local= 2.7+/-5.8, fNL^equil= -42+/-75, and fNL^ortho= -25+\-39 (68% CL statistical). NG is detected in the data; using skew-C_l statistics we find a nonzero bispectrum from residual point sources, and the ISW-lensing bispectrum at a level expected in the LambdaCDM scenario. The results are based on comprehensive cross-validation of these estimators on Gaussian and non-Gaussian simulations, are stable across component separation techniques, pass an extensive suite of tests, and are confirmed by skew-C_l, wavelet bispectrum and Minkowski functional estimators. Beyond estimates of individual shape amplitudes, we present model-independent, 3-dimensional reconstructions of the Planck CMB bispectrum and thus derive constraints on early-Universe scenarios that generate primordial NG, including general single-field models of inflation, excited initial states (non-Bunch-Davies vacua), and directionally-dependent vector models. We provide an initial survey of scale-dependent feature and resonance models. These results bound both general single-field and multi-field model parameter ranges, such as the speed of sound, c_s \geq 0.02 (95% CL), in an effective field theory parametrization, and the curvaton decay fraction r_D \geq 0.15 (95% CL). The Planck data significantly limit the viable parameter space of the ekpyrotic/cyclic scenarios. The amplitude of the 4-point function in the local model tauNL < 2800 (95% CL). These constraints represent the highest precision tests to date of physical mechanisms for the origin of cosmic structure.

Planck 2013 results. XXV. Searches for cosmic strings and other topological defects

ArXiv 1303.5085 (2013)

Authors:

Planck Collaboration, PAR Ade, N Aghanim, C Armitage-Caplan, M Arnaud, M Ashdown, F Atrio-Barandela, J Aumont, C Baccigalupi, AJ Banday, RB Barreiro, JG Bartlett, N Bartolo, E Battaner, R Battye, K Benabed, A BenoĂźt, A Benoit-LĂ©vy, J-P Bernard, M Bersanelli, P Bielewicz, J Bobin, JJ Bock, A Bonaldi, L Bonavera, JR Bond, J Borrill, FR Bouchet, M Bridges, M Bucher, C Burigana, RC Butler, J-F Cardoso, A Catalano, A Challinor, A Chamballu, L-Y Chiang, HC Chiang, PR Christensen, S Church, DL Clements, S Colombi, LPL Colombo, F Couchot, A Coulais, BP Crill, A Curto, F Cuttaia, L Danese, RD Davies, RJ Davis, P de Bernardis, A de Rosa, G de Zotti, J Delabrouille, J-M Delouis, F-X DĂ©sert, JM Diego, H Dole, S Donzelli, O DorĂ©, M Douspis, A Ducout, J Dunkley, X Dupac, G Efstathiou, TA Enßlin, HK Eriksen, J Fergusson, F Finelli, O Forni, M Frailis, E Franceschi, S Galeotta, K Ganga, M Giard, G Giardino, Y Giraud-HĂ©raud, J GonzĂĄlez-Nuevo, KM GĂłrski, S Gratton, A Gregorio, A Gruppuso, FK Hansen, D Hanson, D Harrison, S Henrot-VersillĂ©, C HernĂĄndez-Monteagudo, D Herranz, SR Hildebrandt, E Hivon, M Hobson, WA Holmes, A Hornstrup, W Hovest, KM Huffenberger, TR Jaffe, AH Jaffe, WC Jones, M Juvela, E KeihĂ€nen, R Keskitalo, TS Kisner, J Knoche, L Knox, M Kunz, H Kurki-Suonio, G Lagache, A LĂ€hteenmĂ€ki, J-M Lamarre, A Lasenby, RJ Laureijs, CR Lawrence, JP Leahy, R Leonardi, J Lesgourgues, M Liguori, PB Lilje, M Linden-VĂžrnle, M LĂłpez-Caniego, PM Lubin, JF MacĂ­as-PĂ©rez, B Maffei, D Maino, N Mandolesi, M Maris, DJ Marshall, PG Martin, E MartĂ­nez-GonzĂĄlez, S Masi, S Matarrese, F Matthai, P Mazzotta, JD McEwen, A Melchiorri, L Mendes, A Mennella, M Migliaccio, S Mitra, M-A Miville-DeschĂȘnes, A Moneti, L Montier, G Morgante, D Mortlock, A Moss, D Munshi, P Naselsky, P Natoli, CB Netterfield, HU NĂžrgaard-Nielsen, F Noviello, D Novikov, I Novikov, S Osborne, CA Oxborrow, F Paci, L Pagano, F Pajot, D Paoletti, F Pasian, G Patanchon, HV Peiris, O Perdereau, L Perotto, F Perrotta, F Piacentini, M Piat, E Pierpaoli, D Pietrobon, S Plaszczynski, E Pointecouteau, G Polenta, N Ponthieu, L Popa, T Poutanen, GW Pratt, G PrĂ©zeau, S Prunet, J-L Puget, JP Rachen, C RĂ€th, R Rebolo, M Remazeilles, C Renault, S Ricciardi, T Riller, C Ringeval, I Ristorcelli, G Rocha, C Rosset, G Roudier, M Rowan-Robinson, B Rusholme, M Sandri, D Santos, G Savini, D Scott, MD Seiffert, EPS Shellard, LD Spencer, J-L Starck, V Stolyarov, R Stompor, R Sudiwala, F Sureau, D Sutton, A-S Suur-Uski, J-F Sygnet, JA Tauber, D Tavagnacco, L Terenzi, L Toffolatti, M Tomasi, M Tristram, M Tucci, J Tuovinen, L Valenziano, J Valiviita, B Van Tent, J Varis, P Vielva, F Villa, N Vittorio, LA Wade, BD Wandelt, D Yvon, A Zacchei, A Zonca

Abstract:

Planck data have been used to provide stringent new constraints on cosmic strings and other defects. We describe forecasts of the CMB power spectrum induced by cosmic strings, calculating these from network models and simulations using line-of-sight Boltzmann solvers. We have studied Nambu-Goto cosmic strings, as well as field theory strings for which radiative effects are important, thus spanning the range of theoretical uncertainty in strings models. We have added the angular power spectrum from strings to that for a simple adiabatic model, with the extra fraction defined as $f_{10}$ at multipole $\ell=10$. This parameter has been added to the standard six parameter fit using COSMOMC with flat priors. For the Nambu-Goto string model, we have obtained a constraint on the string tension of $GΌ/c^2 < 1.5 x 10^{-7}$ and $f_{10} < 0.015$ at 95% confidence that can be improved to $GΌ/c^2 < 1.3 x 10^{-7}$ and $f_{10} < 0.010$ on inclusion of high-$\ell$ CMB data. For the abelian-Higgs field theory model we find, $GΌ_{AH}/c^2 < 3.2 x 10^{-7}$ and $f_{10} < 0.028$. The marginalized likelihoods for $f_{10}$ and in the $f_{10}$--$Ω_b h^2$ plane are also presented. We have also obtained constraints on $f_{10}$ for models with semi-local strings and global textures for which $GΌ/c^2 < 1.1 x 10^{-6}$. We have made complementarity searches for the specific non-Gaussian signatures of cosmic strings, calibrating with all-sky Planck resolution CMB maps generated from networks of post-recombination strings. We have obtained upper limits on the string tension at 95% confidence of $GΌ/c^2 < 8.8 x 10^{-7}$ using modal bispectrum estimation and $GΌ/c^2 < 7.8 x 10^{-7}$ for real space searches with Minkowski functionals. These are conservative upper bounds because only post-recombination string contributions have been included in the non-Gaussian analysis.

Planck 2013 results. XXII. Constraints on inflation

ArXiv 1303.5082 (2013)

Authors:

Planck Collaboration, PAR Ade, N Aghanim, C Armitage-Caplan, M Arnaud, M Ashdown, F Atrio-Barandela, J Aumont, C Baccigalupi, AJ Banday, RB Barreiro, JG Bartlett, N Bartolo, E Battaner, K Benabed, A Benoit, A Benoit-Levy, J-P Bernard, M Bersanelli, P Bielewicz, J Bobin, JJ Bock, A Bonaldi, JR Bond, J Borrill, FR Bouchet, M Bridges, M Bucher, C Burigana, RC Butler, E Calabrese, J-F Cardoso, A Catalano, A Challinor, A Chamballu, HC Chiang, L-Y Chiang, PR Christensen, S Church, DL Clements, S Colombi, LPL Colombo, F Couchot, A Coulais, BP Crill, A Curto, F Cuttaia, L Danese, RD Davies, RJ Davis, P de Bernardis, A de Rosa, G de Zotti, J Delabrouille, J-M Delouis, F-X Desert, C Dickinson, JM Diego, H Dole, S Donzelli, O Dore, M Douspis, J Dunkley, X Dupac, G Efstathiou, TA Ensslin, HK Eriksen, F Finelli, O Forni, M Frailis, E Franceschi, S Galeotta, K Ganga, C Gauthier, M Giard, G Giardino, Y Giraud-Hiraud, J Gonzalez-Nuevo, KM Gorski, S Gratton, A Gregorio, A Gruppuso, J Hamann, FK Hansen, D Hanson, D Harrison, S Henrot-Versille, C Hernandez-Monteagudo, D Herranz, SR Hildebrandt, E Hivon, M Hobson, WA Holmes, A Hornstrup, W Hovest, KM Huffenberger, AH Jaffe, TR Jaffe, WC Jones, M Juvela, E Keihanen, R Keskitalo, TS Kisner, R Kneissl, J Knoche, L Knox, M Kunz, H Kurki-Suonio, G Lagache, A Lahteenmaki, J-M Lamarre, A Lasenby, RJ Laureijs, CR Lawrence, S Leach, JP Leahy, R Leonardi, J Lesgourgues, A Lewis, M Liguori, PB Lilje, M Linden-Vernle, M Lopez-Caniego, PM Lubin, JF Macias-Perez, B Maffei, D Maino, N Mandolesi, M Maris, DJ Marshall, PG Martin, E Martinez-Gonzalez, S Masi, M Massardi, S Matarrese, F Matthai, P Mazzotta, PR Meinhold, A Melchiorri, L Mendes, A Mennella, M Migliaccio, S Mitra, M-A Miville-Deschenes, A Moneti, L Montier, G Morgante, D Mortlock, A Moss, D Munshi, JA Murphy, P Naselsky, F Nati, P Natoli, CB Netterfield, HU Norgaard-Nielsen, F Noviello, D Novikov, I Novikov, IJ O'Dwyer, S Osborne, CA Oxborrow, F Paci, L Pagano, F Pajot, R Paladini, S Pandolfi, D Paoletti, B Partridge, F Pasian, G Patanchon, HV Peiris, O Perdereau, L Perotto, F Perrotta, F Piacentini, M Piat, E Pierpaoli, D Pietrobon, S Plaszczynski, E Pointecouteau, G Polenta, N Ponthieu, L Popa, T Poutanen, GW Pratt, G Prezeau, S Prunet, J-L Puget, JP Rachen, R Rebolo, M Reinecke, M Remazeilles, C Renault, S Ricciardi, T Riller, I Ristorcelli, G Rocha, C Rosset, G Roudier, M Rowan-Robinson, JA Rubino-Martin, B Rusholme, M Sandri, D Santos, M Savelainen, G Savini, D Scott, MD Seiffert, EPS Shellard, LD Spencer, J-L Starck, V Stolyarov, R Stompor, R Sudiwala, R Sunyaev, F Sureau, D Sutton, A-S Suur-Uski, J-F Sygnet, JA Tauber, D Tavagnacco, L Terenzi, L Toffolatti, M Tomasi, J Treguer-Goudineau, M Tristram, M Tucci, J Tuovinen, L Valenziano, J Valiviita, B Van Tent, J Varis, P Vielva, F Villa, N Vittorio, LA Wade, BD Wandelt, M White, A Wilkinson, D Yvon, A Zacchei, JP Zibin, A Zonca

Abstract:

We analyse the implications of the Planck data for cosmic inflation. The Planck nominal mission temperature anisotropy measurements, combined with the WMAP large-angle polarization, constrain the scalar spectral index to $n_s = 0.9603 \pm 0.0073$, ruling out exact scale invariance at over 5 $σ$. Planck establishes an upper bound on the tensor-to-scalar ratio of r < 0.11 (95% CL). The Planck data thus shrink the space of allowed standard inflationary models, preferring potentials with V" < 0. Exponential potential models, the simplest hybrid inflationary models, and monomial potential models of degree n > 2 do not provide a good fit to the data. Planck does not find statistically significant running of the scalar spectral index, obtaining $d n_s/d ln k = -0.0134 \pm 0.0090$. Several analyses dropping the slow-roll approximation are carried out, including detailed model comparison and inflationary potential reconstruction. We also investigate whether the primordial power spectrum contains any features. We find that models with a parameterized oscillatory feature improve the fit $χ^2$ by ~ 10; however, Bayesian evidence does not prefer these models. We constrain several single-field inflation models with generalized Lagrangians by combining power spectrum data with bounds on $f_\mathrm{NL}$ measured by Planck. The fractional primordial contribution of CDM isocurvature modes in the curvaton and axion scenarios has upper bounds of 0.25% or 3.9% (95% CL), respectively. In models with arbitrarily correlated CDM or neutrino isocurvature modes, an anticorrelation can improve $χ^2$ by approximatively 4 as a result of slightly lowering the theoretical prediction for the $\ell<40$ multipoles relative to the higher multipoles. Nonetheless, the data are consistent with adiabatic initial conditions.

Planck 2013 results. XVII. Gravitational lensing by large-scale structure

ArXiv 1303.5077 (2013)

Authors:

Planck Collaboration, PAR Ade, N Aghanim, C Armitage-Caplan, M Arnaud, M Ashdown, F Atrio-Barandela, J Aumont, C Baccigalupi, AJ Banday, RB Barreiro, JG Bartlett, S Basak, E Battaner, K Benabed, A BenoĂźt, A Benoit-LĂ©vy, J-P Bernard, M Bersanelli, P Bielewicz, J Bobin, JJ Bock, A Bonaldi, L Bonavera, JR Bond, J Borrill, FR Bouchet, M Bridges, M Bucher, C Burigana, RC Butler, J-F Cardoso, A Catalano, A Challinor, A Chamballu, L-Y Chiang, HC Chiang, PR Christensen, S Church, DL Clements, S Colombi, LPL Colombo, F Couchot, A Coulais, BP Crill, A Curto, F Cuttaia, L Danese, RD Davies, RJ Davis, P de Bernardis, A de Rosa, G de Zotti, T DĂ©chelette, J Delabrouille, J-M Delouis, F-X DĂ©sert, C Dickinson, JM Diego, H Dole, S Donzelli, O DorĂ©, M Douspis, J Dunkley, X Dupac, G Efstathiou, TA Enßlin, HK Eriksen, F Finelli, O Forni, M Frailis, E Franceschi, S Galeotta, K Ganga, M Giard, G Giardino, Y Giraud-HĂ©raud, J GonzĂĄlez-Nuevo, KM GĂłrski, S Gratton, A Gregorio, A Gruppuso, JE Gudmundsson, FK Hansen, D Hanson, D Harrison, S Henrot-VersillĂ©, C HernĂĄndez-Monteagudo, D Herranz, SR Hildebrandt, E Hivon, S Ho, M Hobson, WA Holmes, A Hornstrup, W Hovest, KM Huffenberger, TR Jaffe, AH Jaffe, WC Jones, M Juvela, E KeihĂ€nen, R Keskitalo, TS Kisner, R Kneissl, J Knoche, L Knox, M Kunz, H Kurki-Suonio, G Lagache, A LĂ€hteenmĂ€ki, J-M Lamarre, A Lasenby, RJ Laureijs, A Lavabre, CR Lawrence, JP Leahy, R Leonardi, J LeĂłn-Tavares, J Lesgourgues, A Lewis, M Liguori, PB Lilje, M Linden-VĂžrnle, M LĂłpez-Caniego, PM Lubin, JF MacĂ­as-PĂ©rez, B Maffei, D Maino, N Mandolesi, A Mangilli, M Maris, DJ Marshall, PG Martin, E MartĂ­nez-GonzĂĄlez, S Masi, S Matarrese, F Matthai, P Mazzotta, A Melchiorri, L Mendes, A Mennella, M Migliaccio, S Mitra, M-A Miville-DeschĂȘnes, A Moneti, L Montier, G Morgante, D Mortlock, A Moss, D Munshi, P Naselsky, F Nati, P Natoli, CB Netterfield, HU NĂžrgaard-Nielsen, F Noviello, D Novikov, I Novikov, S Osborne, CA Oxborrow, F Paci, L Pagano, F Pajot, D Paoletti, B Partridge, F Pasian, G Patanchon, O Perdereau, L Perotto, F Perrotta, F Piacentini, M Piat, E Pierpaoli, D Pietrobon, S Plaszczynski, E Pointecouteau, G Polenta, N Ponthieu, L Popa, T Poutanen, GW Pratt, G PrĂ©zeau, S Prunet, J-L Puget, AR Pullen, JP Rachen, R Rebolo, M Reinecke, M Remazeilles, C Renault, S Ricciardi, T Riller, I Ristorcelli, G Rocha, C Rosset, G Roudier, M Rowan-Robinson, JA Rubiño-MartĂ­n, B Rusholme, M Sandri, D Santos, G Savini, D Scott, MD Seiffert, EPS Shellard, LD Spencer, J-L Starck, V Stolyarov, R Stompor, R Sudiwala, R Sunyaev, F Sureau, D Sutton, A-S Suur-Uski, J-F Sygnet, JA Tauber, D Tavagnacco, L Terenzi, L Toffolatti, M Tomasi, M Tristram, M Tucci, J Tuovinen, G Umana, L Valenziano, J Valiviita, B Van Tent, P Vielva, F Villa, N Vittorio, LA Wade, BD Wandelt, M White, SDM White, D Yvon, A Zacchei, A Zonca

Abstract:

On the arcminute angular scales probed by Planck, the CMB anisotropies are gently perturbed by gravitational lensing. Here we present a detailed study of this effect, detecting lensing independently in the 100, 143, and 217GHz frequency bands with an overall significance of greater than 25sigma. We use the temperature-gradient correlations induced by lensing to reconstruct a (noisy) map of the CMB lensing potential, which provides an integrated measure of the mass distribution back to the CMB last-scattering surface. Our lensing potential map is significantly correlated with other tracers of mass, a fact which we demonstrate using several representative tracers of large-scale structure. We estimate the power spectrum of the lensing potential, finding generally good agreement with expectations from the best-fitting LCDM model for the Planck temperature power spectrum, showing that this measurement at z=1100 correctly predicts the properties of the lower-redshift, later-time structures which source the lensing potential. When combined with the temperature power spectrum, our measurement provides degeneracy-breaking power for parameter constraints; it improves CMB-alone constraints on curvature by a factor of two and also partly breaks the degeneracy between the amplitude of the primordial perturbation power spectrum and the optical depth to reionization, allowing a measurement of the optical depth to reionization which is independent of large-scale polarization data. Discarding scale information, our measurement corresponds to a 4% constraint on the amplitude of the lensing potential power spectrum, or a 2% constraint on the RMS amplitude of matter fluctuations at z~2.

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