In this short section, the results will be investigated if the collapsed triangle congurations are taken into account for the bias parameters estimation ofb1 and b2. In the Figures A.1, A.2 and A.3, the results of b1 and b2 derived from the dark matter bispectrum are shown for z = 0.0, 0.5 and 1.0, respectively. As in Section 3, the extracted linear bias b1 and quadratic bias b2 are plotted on the left and right panel, respectively.
It can be noticed that for all redshifts b1 and b2 cannot be extracted consistently with the dark matter expectation value which is indicated by the black dotted vertical line in all gures. The linear bias b1 is always underestimated with a signicance of at least 1.5 σ-condence level. The estimatedb2-values are always overestimated but with at least the same signicance which was found for b1. For these results it does not matter whether the analysis is performed in real or redshift space and it was decided to exclude the case with included random motions from this discussion because only a mild improvement can be achieved, see Section 3.2.3. It should be clear by now, that the collapsed triangle congurations must be excluded for a correct bias parameter estimation, as it was stated in the beginning of Section 3.2.
0.75 0.8 0.85 0.9 0.95 1 1.05 1.1
0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 b1
kmax [h/Mpc]
L-BASICC DM: z = 0.0 Brs(k1, k2, k3) Bzs(k1, k2, k3)
-0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2
b2
kmax [h/Mpc]
L-BASICC DM: z = 0.0 Brs(k1, k2, k3) Bzs(k1, k2, k3)
Figure A.1: Estimation of b1 (left panel) and b2 (right panel) against kmax, the maximum k-mode for the side length of a triangle conguration. The real space estimation is given in blue and redshift space in red.
0.75 0.8 0.85 0.9 0.95 1 1.05 1.1
0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 b1
kmax [h/Mpc]
L-BASICC DM: z = 0.5 Brs(k1, k2, k3) Bzs(k1, k2, k3)
-0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2
b2
kmax [h/Mpc]
L-BASICC DM: z = 0.5 Brs(k1, k2, k3) Bzs(k1, k2, k3)
Figure A.2: Same description as for Figure A.1
0.75 0.8 0.85 0.9 0.95 1 1.05 1.1
0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 b1
kmax [h/Mpc]
L-BASICC DM: z = 1.0 Brs(k1, k2, k3) Bzs(k1, k2, k3)
-0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2
b2
kmax [h/Mpc]
L-BASICC DM: z = 1.0 Brs(k1, k2, k3) Bzs(k1, k2, k3)
Figure A.3: Same description as for Figure A.1
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Acknowledgements
This last section is dedicated to the people whom I want to express my gratitude for their not only scientic help in various ways.
First of all, Ralf Bender who gave me the opportunity to work on the eld of large scale structure, especially on the three point clustering. I want to thank Stefanie Phleps, who was responsible for my daily supervision, helped me a lot by the accomplishment of the scientic issues which arose throughout the four years of my thesis, Ariel Sánchez for his comments on ξ(rp, π) and for being a member of my thesis committee as well as Donghui Jeong and Eiichiro Komatsu for their precious help for measuring the bispectrum.
I also want to thank all other members of the OPINAS group on the MPE in Garching for the friendly welcome they were oering to me and especially my ocemates Jennifer Connelly, Max Fabricius, Francesco Montesano and Michael Opitsch.
It would not be possible for me to nish this work without the support with words and deeds of my parents, Barbara and Alois Schlagenhaufer, and my sister, Antje. I think at some moments during this four years they felt even more desperate about the outcome of this thesis than I did.
And of course I want to mention my friends who gave me distraction when I needed it even when I was opposite opinion. I want to thank Daniel Gothe for the time he spent on watching all the social critical movies, playing console games and who showed me the beauty of icehockey. I will never forget our trip to Ingolstadt with his wife Alex and Sandra Pohl who was a total stranger to us at that time. The result of this trip was the foundation of the Fan-Club "Rauten Roosters".
On many, perhaps too many, evenings Daniel Semsch and I discussed new tactics for an online space adventure game. For sure the time could have been invested in a much more productive way, but the distraction I experienced was worth it.
I want to thank Thomas Pointl, an old friend, in both meanings, for his weekend plannings during my homestays.
And last but not least I want to mention my friends from the STA, Christian Prokopp, Heiko Müller and Frank Heinitz, for many memorable weekends (to be honest it could have been more weekends) in Erlangen and Erzhausen.
Curriculum vitae
Holger Alois Schlagenhaufer
Date of birth: 31.12.1980 in Nabburg
Education: 1987 - 1991: Grundschule Diendorf (Primary school Diendorf) 1991 - 1993: Teilhauptschule Diendorf
(Secondary modern school Diendorf) 1993 - 1997: Realschule Nabburg
(Junior high school Nabburg) 1997 - 1999: Fachoberschule Schwandorf
(Technical school Schwandorf)
1999 - 2001: Siemens Technik Akademie in Erlangen (Siemens technical academy Erlangen) 2001 - 2002: Fachhochschule München
(Munich university of applied sciences) 2002 - 2008: Ludwig Maximilians Universität München
(Ludwig Maximilian University of Munich)
2008 - 2012: Promotion am Max-Planck-Institut für extraterrestrische Physik (PhD at the Max-Planck-Institute for extraterrestrial Physics)
Erklärung
Ich erkläre hiermit, dass ich meine Doktorarbeit mit dem Titel Two- and three-point clustering statistics
selbständig verfasst, sowie keine anderen als die angegebenen Quellen und Hilfsmittel benutzt habe.
München, den 27.09.2012
Holger Alois Schlagenhaufer