Next-to-leading resummation of cosmological perturbations via the Lagrangian picture: 2-loop correction in real and redshift spaces
We present an improved prediction of Lagrangian resummation theory (LRT), the nonlinear perturbation theory (PT) via the Lagrangian picture originally proposed by Matsubara (2008). Based on the relations between the power spectrum in standard PT and that in LRT, we derive analytic expressions for th...
Gespeichert in:
Veröffentlicht in: | Journal of cosmology and astroparticle physics 2011-08, Vol.2011 (8), p.12-12 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 12 |
---|---|
container_issue | 8 |
container_start_page | 12 |
container_title | Journal of cosmology and astroparticle physics |
container_volume | 2011 |
creator | Okamura, Tomohiro Taruya, Atsushi Matsubara, Takahiko |
description | We present an improved prediction of Lagrangian resummation theory (LRT), the nonlinear perturbation theory (PT) via the Lagrangian picture originally proposed by Matsubara (2008). Based on the relations between the power spectrum in standard PT and that in LRT, we derive analytic expressions for the power spectrum in LRT up to 2-loop order in both real and redshift spaces. Comparing the improved prediction of LRT with N-body simulations in real space, we find that the 2-loop corrections can extend the valid range of wave numbers where we can predict the power spectrum within 1% accuracy by a factor of 1.0 (z = 0.5), 1.3 (1), 1.6 (2) and 1.8 (3) vied with 1-loop LRT results. On the other hand, in all redshift ranges, the higher-order corrections are shown to be less significant on the two-point correlation functions around the baryon acoustic peak, because the 1-loop LRT is already accurate enough to explain the nonlinearity on those scales in N-body simulations. |
doi_str_mv | 10.1088/1475-7516/2011/08/012 |
format | Article |
fullrecord | <record><control><sourceid>crossref_osti_</sourceid><recordid>TN_cdi_osti_scitechconnect_22277804</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1088_1475_7516_2011_08_012</sourcerecordid><originalsourceid>FETCH-LOGICAL-c394t-75b42f137d234d4817970904a36f04fe8e35bc08a4dd1cfbbc6907e07fcce5a13</originalsourceid><addsrcrecordid>eNpNkEtLxDAUhYMoOI7-BCHgujavNqk7GXzBoBtdhzRNOpFOU5KM6No_bjoj4uoe7j33cPgAuMToGiMhSsx4VfAK1yVBGJdIlAiTI7D42x__06fgLMZ3hEhNqViA72fzmYrki8Gozo09DCbutluVnB-ht1D7uPWD751WA5xMSLvQ7o8RfjgF08bAteqDGnunRjg5nQ3mBpJi8H7K3yEYvc9yY47OGWrssujixtkE46S0iefgxKohmovfuQRv93evq8di_fLwtLpdF5o2LOX2LSMWU94RyjomMG84ahBTtLaIWSMMrVqNhGJdh7VtW103iBvErdamUpguwdUh18fkZNQuGb3RfhxzRUkI4Vwgll3VwaWDjzEYK6fgtip8SYzkzFvOLOXMUs68JRIy86Y_LWZ1xA</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Next-to-leading resummation of cosmological perturbations via the Lagrangian picture: 2-loop correction in real and redshift spaces</title><source>IOP Publishing Journals</source><source>Institute of Physics (IOP) Journals - HEAL-Link</source><creator>Okamura, Tomohiro ; Taruya, Atsushi ; Matsubara, Takahiko</creator><creatorcontrib>Okamura, Tomohiro ; Taruya, Atsushi ; Matsubara, Takahiko</creatorcontrib><description>We present an improved prediction of Lagrangian resummation theory (LRT), the nonlinear perturbation theory (PT) via the Lagrangian picture originally proposed by Matsubara (2008). Based on the relations between the power spectrum in standard PT and that in LRT, we derive analytic expressions for the power spectrum in LRT up to 2-loop order in both real and redshift spaces. Comparing the improved prediction of LRT with N-body simulations in real space, we find that the 2-loop corrections can extend the valid range of wave numbers where we can predict the power spectrum within 1% accuracy by a factor of 1.0 (z = 0.5), 1.3 (1), 1.6 (2) and 1.8 (3) vied with 1-loop LRT results. On the other hand, in all redshift ranges, the higher-order corrections are shown to be less significant on the two-point correlation functions around the baryon acoustic peak, because the 1-loop LRT is already accurate enough to explain the nonlinearity on those scales in N-body simulations.</description><identifier>ISSN: 1475-7516</identifier><identifier>EISSN: 1475-7516</identifier><identifier>DOI: 10.1088/1475-7516/2011/08/012</identifier><language>eng</language><publisher>United States</publisher><subject>ASTROPHYSICS ; ASTROPHYSICS, COSMOLOGY AND ASTRONOMY ; BARYONS ; COMPARATIVE EVALUATIONS ; COMPUTERIZED SIMULATION ; CORRECTIONS ; CORRELATION FUNCTIONS ; COSMOLOGY ; ENERGY SPECTRA ; LAGRANGIAN FUNCTION ; NONLINEAR PROBLEMS ; PERTURBATION THEORY ; RED SHIFT ; SPACE</subject><ispartof>Journal of cosmology and astroparticle physics, 2011-08, Vol.2011 (8), p.12-12</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c394t-75b42f137d234d4817970904a36f04fe8e35bc08a4dd1cfbbc6907e07fcce5a13</citedby><cites>FETCH-LOGICAL-c394t-75b42f137d234d4817970904a36f04fe8e35bc08a4dd1cfbbc6907e07fcce5a13</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,776,780,881,27901,27902</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/22277804$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Okamura, Tomohiro</creatorcontrib><creatorcontrib>Taruya, Atsushi</creatorcontrib><creatorcontrib>Matsubara, Takahiko</creatorcontrib><title>Next-to-leading resummation of cosmological perturbations via the Lagrangian picture: 2-loop correction in real and redshift spaces</title><title>Journal of cosmology and astroparticle physics</title><description>We present an improved prediction of Lagrangian resummation theory (LRT), the nonlinear perturbation theory (PT) via the Lagrangian picture originally proposed by Matsubara (2008). Based on the relations between the power spectrum in standard PT and that in LRT, we derive analytic expressions for the power spectrum in LRT up to 2-loop order in both real and redshift spaces. Comparing the improved prediction of LRT with N-body simulations in real space, we find that the 2-loop corrections can extend the valid range of wave numbers where we can predict the power spectrum within 1% accuracy by a factor of 1.0 (z = 0.5), 1.3 (1), 1.6 (2) and 1.8 (3) vied with 1-loop LRT results. On the other hand, in all redshift ranges, the higher-order corrections are shown to be less significant on the two-point correlation functions around the baryon acoustic peak, because the 1-loop LRT is already accurate enough to explain the nonlinearity on those scales in N-body simulations.</description><subject>ASTROPHYSICS</subject><subject>ASTROPHYSICS, COSMOLOGY AND ASTRONOMY</subject><subject>BARYONS</subject><subject>COMPARATIVE EVALUATIONS</subject><subject>COMPUTERIZED SIMULATION</subject><subject>CORRECTIONS</subject><subject>CORRELATION FUNCTIONS</subject><subject>COSMOLOGY</subject><subject>ENERGY SPECTRA</subject><subject>LAGRANGIAN FUNCTION</subject><subject>NONLINEAR PROBLEMS</subject><subject>PERTURBATION THEORY</subject><subject>RED SHIFT</subject><subject>SPACE</subject><issn>1475-7516</issn><issn>1475-7516</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNpNkEtLxDAUhYMoOI7-BCHgujavNqk7GXzBoBtdhzRNOpFOU5KM6No_bjoj4uoe7j33cPgAuMToGiMhSsx4VfAK1yVBGJdIlAiTI7D42x__06fgLMZ3hEhNqViA72fzmYrki8Gozo09DCbutluVnB-ht1D7uPWD751WA5xMSLvQ7o8RfjgF08bAteqDGnunRjg5nQ3mBpJi8H7K3yEYvc9yY47OGWrssujixtkE46S0iefgxKohmovfuQRv93evq8di_fLwtLpdF5o2LOX2LSMWU94RyjomMG84ahBTtLaIWSMMrVqNhGJdh7VtW103iBvErdamUpguwdUh18fkZNQuGb3RfhxzRUkI4Vwgll3VwaWDjzEYK6fgtip8SYzkzFvOLOXMUs68JRIy86Y_LWZ1xA</recordid><startdate>20110801</startdate><enddate>20110801</enddate><creator>Okamura, Tomohiro</creator><creator>Taruya, Atsushi</creator><creator>Matsubara, Takahiko</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>20110801</creationdate><title>Next-to-leading resummation of cosmological perturbations via the Lagrangian picture: 2-loop correction in real and redshift spaces</title><author>Okamura, Tomohiro ; Taruya, Atsushi ; Matsubara, Takahiko</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c394t-75b42f137d234d4817970904a36f04fe8e35bc08a4dd1cfbbc6907e07fcce5a13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>ASTROPHYSICS</topic><topic>ASTROPHYSICS, COSMOLOGY AND ASTRONOMY</topic><topic>BARYONS</topic><topic>COMPARATIVE EVALUATIONS</topic><topic>COMPUTERIZED SIMULATION</topic><topic>CORRECTIONS</topic><topic>CORRELATION FUNCTIONS</topic><topic>COSMOLOGY</topic><topic>ENERGY SPECTRA</topic><topic>LAGRANGIAN FUNCTION</topic><topic>NONLINEAR PROBLEMS</topic><topic>PERTURBATION THEORY</topic><topic>RED SHIFT</topic><topic>SPACE</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Okamura, Tomohiro</creatorcontrib><creatorcontrib>Taruya, Atsushi</creatorcontrib><creatorcontrib>Matsubara, Takahiko</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Journal of cosmology and astroparticle physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Okamura, Tomohiro</au><au>Taruya, Atsushi</au><au>Matsubara, Takahiko</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Next-to-leading resummation of cosmological perturbations via the Lagrangian picture: 2-loop correction in real and redshift spaces</atitle><jtitle>Journal of cosmology and astroparticle physics</jtitle><date>2011-08-01</date><risdate>2011</risdate><volume>2011</volume><issue>8</issue><spage>12</spage><epage>12</epage><pages>12-12</pages><issn>1475-7516</issn><eissn>1475-7516</eissn><abstract>We present an improved prediction of Lagrangian resummation theory (LRT), the nonlinear perturbation theory (PT) via the Lagrangian picture originally proposed by Matsubara (2008). Based on the relations between the power spectrum in standard PT and that in LRT, we derive analytic expressions for the power spectrum in LRT up to 2-loop order in both real and redshift spaces. Comparing the improved prediction of LRT with N-body simulations in real space, we find that the 2-loop corrections can extend the valid range of wave numbers where we can predict the power spectrum within 1% accuracy by a factor of 1.0 (z = 0.5), 1.3 (1), 1.6 (2) and 1.8 (3) vied with 1-loop LRT results. On the other hand, in all redshift ranges, the higher-order corrections are shown to be less significant on the two-point correlation functions around the baryon acoustic peak, because the 1-loop LRT is already accurate enough to explain the nonlinearity on those scales in N-body simulations.</abstract><cop>United States</cop><doi>10.1088/1475-7516/2011/08/012</doi><tpages>1</tpages><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 1475-7516 |
ispartof | Journal of cosmology and astroparticle physics, 2011-08, Vol.2011 (8), p.12-12 |
issn | 1475-7516 1475-7516 |
language | eng |
recordid | cdi_osti_scitechconnect_22277804 |
source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
subjects | ASTROPHYSICS ASTROPHYSICS, COSMOLOGY AND ASTRONOMY BARYONS COMPARATIVE EVALUATIONS COMPUTERIZED SIMULATION CORRECTIONS CORRELATION FUNCTIONS COSMOLOGY ENERGY SPECTRA LAGRANGIAN FUNCTION NONLINEAR PROBLEMS PERTURBATION THEORY RED SHIFT SPACE |
title | Next-to-leading resummation of cosmological perturbations via the Lagrangian picture: 2-loop correction in real and redshift spaces |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-31T17%3A52%3A03IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref_osti_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Next-to-leading%20resummation%20of%20cosmological%20perturbations%20via%20the%20Lagrangian%20picture:%202-loop%20correction%20in%20real%20and%20redshift%20spaces&rft.jtitle=Journal%20of%20cosmology%20and%20astroparticle%20physics&rft.au=Okamura,%20Tomohiro&rft.date=2011-08-01&rft.volume=2011&rft.issue=8&rft.spage=12&rft.epage=12&rft.pages=12-12&rft.issn=1475-7516&rft.eissn=1475-7516&rft_id=info:doi/10.1088/1475-7516/2011/08/012&rft_dat=%3Ccrossref_osti_%3E10_1088_1475_7516_2011_08_012%3C/crossref_osti_%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |