Upper bounds on ε′/ε parameters B6(1/2) and B8(3/2) from large N QCD and other news
A bstract We demonstrate that in the large N approach developed by the authors in collaboration with Bardeen, the parameters B 6 (1/2) and B 8 (3/2) parametrizing the K → ππ matrix elements 〈 Q 6 〉 0 and 〈 Q 8 〉 2 of the dominant QCD and electroweak operators receive both negative O 1 / N correction...
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| Veröffentlicht in: | The journal of high energy physics 2015-12, Vol.2015 (12), p.1-20 |
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| container_title | The journal of high energy physics |
| container_volume | 2015 |
| creator | Buras, Andrzej J. Gérard, Jean-Marc |
| description | A
bstract
We demonstrate that in the large
N
approach developed by the authors in collaboration with Bardeen, the parameters
B
6
(1/2)
and
B
8
(3/2)
parametrizing the
K
→
ππ
matrix elements 〈
Q
6
〉
0
and 〈
Q
8
〉
2
of the dominant QCD and electroweak operators receive both
negative
O
1
/
N
corrections such that
B
6
(1/2)
≤
B
8
(3/2)
|
| doi_str_mv | 10.1007/JHEP12(2015)008 |
| format | Article |
| fullrecord | <record><control><sourceid>springer</sourceid><recordid>TN_cdi_springer_journals_10_1007_JHEP12_2015_008</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1007_JHEP12_2015_008</sourcerecordid><originalsourceid>FETCH-LOGICAL-s1118-83f374a11fa9988881443a003e6d06bf0e457d1eb0a79e01e8c74c7ee7365c8c3</originalsourceid><addsrcrecordid>eNotkM9Kw0AYxBdBsFbPXveYHmK-L5tkd482tlYp_gGLx7BJvlRLm4TdFq8-k9DX6EP4JCbWuczAwAz8GLtCuEYAGTzMJs8YeiFgPAJQJ2yAEGpfRVKfsXPnVtA1qGHA3hZtS5bnza4uHW9qftj_fH0Hhz1vjTUb2pJ1fJx4GIQjbuqSj5Un-lzZZsPXxi6JP_KX9PavbLbv3VhNn-6CnVZm7ejy34dsMZ28pjN__nR3n97MfYeIyleiEjIyiJXRWnXCKBIGQFBSQpJXQFEsS6QcjNQESKqQUSGJpEjiQhViyOC461r7US_JZqtmZ-vuMkPIehjZEUbWw8g6GOIX39JSwg</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Upper bounds on ε′/ε parameters B6(1/2) and B8(3/2) from large N QCD and other news</title><source>DOAJ Directory of Open Access Journals</source><source>Springer Nature OA Free Journals</source><source>EZB-FREE-00999 freely available EZB journals</source><source>Alma/SFX Local Collection</source><creator>Buras, Andrzej J. ; Gérard, Jean-Marc</creator><creatorcontrib>Buras, Andrzej J. ; Gérard, Jean-Marc</creatorcontrib><description>A
bstract
We demonstrate that in the large
N
approach developed by the authors in collaboration with Bardeen, the parameters
B
6
(1/2)
and
B
8
(3/2)
parametrizing the
K
→
ππ
matrix elements 〈
Q
6
〉
0
and 〈
Q
8
〉
2
of the dominant QCD and electroweak operators receive both
negative
O
1
/
N
corrections such that
B
6
(1/2)
≤
B
8
(3/2)
< 1 in agreement with the recent lattice results of the RBC-UKQCD collaboration. We also point out that the pattern of the size of the hadronic matrix elements of all QCD and electroweak penguin operators
Q
i
contributing to the
K
→
ππ
amplitudes
A
0
and
A
2
, obtained by this lattice collaboration, provides further support to our large
N
approach. In particular, the lattice result for the matrix element 〈
Q
8
〉
0
implies for the corresponding parameter
B
8
(1/2)
= 1.0 ± 0.2 to be compared with large
N
value
B
8
(1/2)
= 1.1 ± 0.1. We discuss briefly the implications of these findings for the ratio
ε
′
/ε
. In fact, with the precise value for
B
8
(3/2)
from RBC-UKQCD collaboration, our upper bound on
B
6
(1/2)
implies
ε
′
/ε
in the SM roughly by a factor of two below its experimental value (16
.
6± 2
.
3) × 10
−4
. We also briefly comment on the parameter
B
^
K
and the Δ
I
= 1
/
2 rule.</description><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP12(2015)008</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical and Quantum Gravitation ; Elementary Particles ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Theory</subject><ispartof>The journal of high energy physics, 2015-12, Vol.2015 (12), p.1-20</ispartof><rights>The Author(s) 2015</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-s1118-83f374a11fa9988881443a003e6d06bf0e457d1eb0a79e01e8c74c7ee7365c8c3</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/JHEP12(2015)008$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP12(2015)008$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,864,27923,27924,41119,42188,51575</link.rule.ids></links><search><creatorcontrib>Buras, Andrzej J.</creatorcontrib><creatorcontrib>Gérard, Jean-Marc</creatorcontrib><title>Upper bounds on ε′/ε parameters B6(1/2) and B8(3/2) from large N QCD and other news</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We demonstrate that in the large
N
approach developed by the authors in collaboration with Bardeen, the parameters
B
6
(1/2)
and
B
8
(3/2)
parametrizing the
K
→
ππ
matrix elements 〈
Q
6
〉
0
and 〈
Q
8
〉
2
of the dominant QCD and electroweak operators receive both
negative
O
1
/
N
corrections such that
B
6
(1/2)
≤
B
8
(3/2)
< 1 in agreement with the recent lattice results of the RBC-UKQCD collaboration. We also point out that the pattern of the size of the hadronic matrix elements of all QCD and electroweak penguin operators
Q
i
contributing to the
K
→
ππ
amplitudes
A
0
and
A
2
, obtained by this lattice collaboration, provides further support to our large
N
approach. In particular, the lattice result for the matrix element 〈
Q
8
〉
0
implies for the corresponding parameter
B
8
(1/2)
= 1.0 ± 0.2 to be compared with large
N
value
B
8
(1/2)
= 1.1 ± 0.1. We discuss briefly the implications of these findings for the ratio
ε
′
/ε
. In fact, with the precise value for
B
8
(3/2)
from RBC-UKQCD collaboration, our upper bound on
B
6
(1/2)
implies
ε
′
/ε
in the SM roughly by a factor of two below its experimental value (16
.
6± 2
.
3) × 10
−4
. We also briefly comment on the parameter
B
^
K
and the Δ
I
= 1
/
2 rule.</description><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>String Theory</subject><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><recordid>eNotkM9Kw0AYxBdBsFbPXveYHmK-L5tkd482tlYp_gGLx7BJvlRLm4TdFq8-k9DX6EP4JCbWuczAwAz8GLtCuEYAGTzMJs8YeiFgPAJQJ2yAEGpfRVKfsXPnVtA1qGHA3hZtS5bnza4uHW9qftj_fH0Hhz1vjTUb2pJ1fJx4GIQjbuqSj5Un-lzZZsPXxi6JP_KX9PavbLbv3VhNn-6CnVZm7ejy34dsMZ28pjN__nR3n97MfYeIyleiEjIyiJXRWnXCKBIGQFBSQpJXQFEsS6QcjNQESKqQUSGJpEjiQhViyOC461r7US_JZqtmZ-vuMkPIehjZEUbWw8g6GOIX39JSwg</recordid><startdate>20151201</startdate><enddate>20151201</enddate><creator>Buras, Andrzej J.</creator><creator>Gérard, Jean-Marc</creator><general>Springer Berlin Heidelberg</general><scope>C6C</scope></search><sort><creationdate>20151201</creationdate><title>Upper bounds on ε′/ε parameters B6(1/2) and B8(3/2) from large N QCD and other news</title><author>Buras, Andrzej J. ; Gérard, Jean-Marc</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-s1118-83f374a11fa9988881443a003e6d06bf0e457d1eb0a79e01e8c74c7ee7365c8c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Buras, Andrzej J.</creatorcontrib><creatorcontrib>Gérard, Jean-Marc</creatorcontrib><collection>Springer Nature OA Free Journals</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Buras, Andrzej J.</au><au>Gérard, Jean-Marc</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Upper bounds on ε′/ε parameters B6(1/2) and B8(3/2) from large N QCD and other news</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2015-12-01</date><risdate>2015</risdate><volume>2015</volume><issue>12</issue><spage>1</spage><epage>20</epage><pages>1-20</pages><eissn>1029-8479</eissn><abstract>A
bstract
We demonstrate that in the large
N
approach developed by the authors in collaboration with Bardeen, the parameters
B
6
(1/2)
and
B
8
(3/2)
parametrizing the
K
→
ππ
matrix elements 〈
Q
6
〉
0
and 〈
Q
8
〉
2
of the dominant QCD and electroweak operators receive both
negative
O
1
/
N
corrections such that
B
6
(1/2)
≤
B
8
(3/2)
< 1 in agreement with the recent lattice results of the RBC-UKQCD collaboration. We also point out that the pattern of the size of the hadronic matrix elements of all QCD and electroweak penguin operators
Q
i
contributing to the
K
→
ππ
amplitudes
A
0
and
A
2
, obtained by this lattice collaboration, provides further support to our large
N
approach. In particular, the lattice result for the matrix element 〈
Q
8
〉
0
implies for the corresponding parameter
B
8
(1/2)
= 1.0 ± 0.2 to be compared with large
N
value
B
8
(1/2)
= 1.1 ± 0.1. We discuss briefly the implications of these findings for the ratio
ε
′
/ε
. In fact, with the precise value for
B
8
(3/2)
from RBC-UKQCD collaboration, our upper bound on
B
6
(1/2)
implies
ε
′
/ε
in the SM roughly by a factor of two below its experimental value (16
.
6± 2
.
3) × 10
−4
. We also briefly comment on the parameter
B
^
K
and the Δ
I
= 1
/
2 rule.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP12(2015)008</doi><tpages>20</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 1029-8479 |
| ispartof | The journal of high energy physics, 2015-12, Vol.2015 (12), p.1-20 |
| issn | 1029-8479 |
| language | eng |
| recordid | cdi_springer_journals_10_1007_JHEP12_2015_008 |
| source | DOAJ Directory of Open Access Journals; Springer Nature OA Free Journals; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
| subjects | Classical and Quantum Gravitation Elementary Particles Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory |
| title | Upper bounds on ε′/ε parameters B6(1/2) and B8(3/2) from large N QCD and other news |
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