Two-loop QED radiative corrections to the decay π0 → e+e−: the virtual corrections and soft-photon bremsstrahlung
This paper is devoted to the two-loop QED radiative corrections to the decay π 0 → e + e − . We compute the virtual corrections without using any approximation and we take into account all the relevant graphs with the inclusion of those omitted in the previous approximative calculations. The brems...
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| Veröffentlicht in: | The journal of high energy physics 2011-10, Vol.2011 (10) |
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| creator | Vaško, Petr Novotný, Jiří |
| description | This paper is devoted to the two-loop QED radiative corrections to the decay
π
0
→
e
+
e
−
. We compute the virtual corrections without using any approximation and we take into account all the relevant graphs with the inclusion of those omitted in the previous approximative calculations. The bremsstrahlung is then treated within the soft photon approximation. We concentrate on the technical aspects of the calculation and discuss in detail the UV renormalization and the treatment of IR divergences within the dimensional regularization. As a result we obtain the
O
(
α
3
p
2
) contribution in closed analytic form. We compare the exact two-loop results with existing approximative calculations of QED corrections and find significant disagreement in the kinematical region relevant for the KTeV experiment. |
| doi_str_mv | 10.1007/JHEP10(2011)122 |
| format | Article |
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π
0
→
e
+
e
−
. We compute the virtual corrections without using any approximation and we take into account all the relevant graphs with the inclusion of those omitted in the previous approximative calculations. The bremsstrahlung is then treated within the soft photon approximation. We concentrate on the technical aspects of the calculation and discuss in detail the UV renormalization and the treatment of IR divergences within the dimensional regularization. As a result we obtain the
O
(
α
3
p
2
) contribution in closed analytic form. We compare the exact two-loop results with existing approximative calculations of QED corrections and find significant disagreement in the kinematical region relevant for the KTeV experiment.</description><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP10(2011)122</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Approximation ; Bremsstrahlung ; Classical and Quantum Gravitation ; Decay ; Elementary Particles ; High energy physics ; Mathematical analysis ; Photons ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regularization ; Relativity Theory ; String Theory</subject><ispartof>The journal of high energy physics, 2011-10, Vol.2011 (10)</ispartof><rights>SISSA, Trieste, Italy 2011</rights><rights>SISSA, Trieste, Italy 2011.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-p692-adb123f75cc0882248eb40b61e0dfc27b36fc77814c75e8049d869ab3ce5846f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP10(2011)122$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP10(2011)122$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>315,781,785,27928,27929,41124,41492,42193,42561,51323,51580</link.rule.ids><linktorsrc>$$Uhttps://doi.org/10.1007/JHEP10(2011)122$$EView_record_in_Springer_Nature$$FView_record_in_$$GSpringer_Nature</linktorsrc></links><search><creatorcontrib>Vaško, Petr</creatorcontrib><creatorcontrib>Novotný, Jiří</creatorcontrib><title>Two-loop QED radiative corrections to the decay π0 → e+e−: the virtual corrections and soft-photon bremsstrahlung</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>This paper is devoted to the two-loop QED radiative corrections to the decay
π
0
→
e
+
e
−
. We compute the virtual corrections without using any approximation and we take into account all the relevant graphs with the inclusion of those omitted in the previous approximative calculations. The bremsstrahlung is then treated within the soft photon approximation. We concentrate on the technical aspects of the calculation and discuss in detail the UV renormalization and the treatment of IR divergences within the dimensional regularization. As a result we obtain the
O
(
α
3
p
2
) contribution in closed analytic form. We compare the exact two-loop results with existing approximative calculations of QED corrections and find significant disagreement in the kinematical region relevant for the KTeV experiment.</description><subject>Approximation</subject><subject>Bremsstrahlung</subject><subject>Classical and Quantum Gravitation</subject><subject>Decay</subject><subject>Elementary Particles</subject><subject>High energy physics</subject><subject>Mathematical analysis</subject><subject>Photons</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Regularization</subject><subject>Relativity Theory</subject><subject>String Theory</subject><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpVkM1KAzEURoMgWKtrtwE3iozeZH6SuJNarVJQofshk8m0U8bJmGQquupKdNsX8x36JI5WEDf3Lu653wcHoQMCpwSAnd2OhvcEjigQckwo3UI9AlQEPGJiB-06NwcgMRHQQ6-TZxNUxjT4YXiJrcxL6cuFxspYq5UvTe2wN9jPNM61ki_4cwnr5cf6bdVNfaLX76vzn-uitL6V1b9HWefYmcIHzcx4U-PM6kfnvJWzqq2ne2i7kJXT-7-7jyZXw8lgFIzvrm8GF-OgSQQNZJ4RGhYsVgo4pzTiOosgS4iGvFCUZWFSKMY4iRSLNYdI5DwRMguVjnmUFGEfHW5iG2ueWu18OjetrbvGlIaCg4iIEB0FG8o1tqyn2v5RBNJvqelGavotNe2khl-k6XFo</recordid><startdate>20111025</startdate><enddate>20111025</enddate><creator>Vaško, Petr</creator><creator>Novotný, Jiří</creator><general>Springer-Verlag</general><general>Springer Nature B.V</general><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope></search><sort><creationdate>20111025</creationdate><title>Two-loop QED radiative corrections to the decay π0 → e+e−: the virtual corrections and soft-photon bremsstrahlung</title><author>Vaško, Petr ; Novotný, Jiří</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p692-adb123f75cc0882248eb40b61e0dfc27b36fc77814c75e8049d869ab3ce5846f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Approximation</topic><topic>Bremsstrahlung</topic><topic>Classical and Quantum Gravitation</topic><topic>Decay</topic><topic>Elementary Particles</topic><topic>High energy physics</topic><topic>Mathematical analysis</topic><topic>Photons</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Regularization</topic><topic>Relativity Theory</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vaško, Petr</creatorcontrib><creatorcontrib>Novotný, Jiří</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Vaško, Petr</au><au>Novotný, Jiří</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Two-loop QED radiative corrections to the decay π0 → e+e−: the virtual corrections and soft-photon bremsstrahlung</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2011-10-25</date><risdate>2011</risdate><volume>2011</volume><issue>10</issue><eissn>1029-8479</eissn><abstract>This paper is devoted to the two-loop QED radiative corrections to the decay
π
0
→
e
+
e
−
. We compute the virtual corrections without using any approximation and we take into account all the relevant graphs with the inclusion of those omitted in the previous approximative calculations. The bremsstrahlung is then treated within the soft photon approximation. We concentrate on the technical aspects of the calculation and discuss in detail the UV renormalization and the treatment of IR divergences within the dimensional regularization. As a result we obtain the
O
(
α
3
p
2
) contribution in closed analytic form. We compare the exact two-loop results with existing approximative calculations of QED corrections and find significant disagreement in the kinematical region relevant for the KTeV experiment.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1007/JHEP10(2011)122</doi><oa>free_for_read</oa></addata></record> |
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| identifier | EISSN: 1029-8479 |
| ispartof | The journal of high energy physics, 2011-10, Vol.2011 (10) |
| issn | 1029-8479 |
| language | eng |
| recordid | cdi_proquest_journals_2398094199 |
| source | Springer Nature OA Free Journals |
| subjects | Approximation Bremsstrahlung Classical and Quantum Gravitation Decay Elementary Particles High energy physics Mathematical analysis Photons Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regularization Relativity Theory String Theory |
| title | Two-loop QED radiative corrections to the decay π0 → e+e−: the virtual corrections and soft-photon bremsstrahlung |
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