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The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
A bstract We compute the hadronic running of the electromagnetic and weak couplings in lattice QCD with N f = 2 + 1 flavors of O ( a ) improved Wilson fermions. Using two different discretizations of the vector current, we compute the quark-connected and –disconnected contributions to the hadronic v...
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| Published in: | The journal of high energy physics 2022-08, Vol.2022 (8), p.220-76, Article 220 |
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| cites | cdi_FETCH-LOGICAL-c487t-56f187de03f82ac70f2a252710a3cc920ebdd46734967e21a254112fd814aeb43 |
| container_end_page | 76 |
| container_issue | 8 |
| container_start_page | 220 |
| container_title | The journal of high energy physics |
| container_volume | 2022 |
| creator | Cè, Marco Gérardin, Antoine von Hippel, Georg Meyer, Harvey B. Miura, Kohtaroh Ottnad, Konstantin Risch, Andreas José, Teseo San Wilhelm, Jonas Wittig, Hartmut |
| description | A
bstract
We compute the hadronic running of the electromagnetic and weak couplings in lattice QCD with
N
f
= 2 + 1 flavors of
O
(
a
) improved Wilson fermions. Using two different discretizations of the vector current, we compute the quark-connected and –disconnected contributions to the hadronic vacuum polarization (HVP) functions
Π
¯
γγ
and
Π
¯
γZ
for Euclidean squared momenta
Q
2
≤ 7 GeV
2
. Gauge field ensembles at four values of the lattice spacing and several values of the pion mass, including its physical value, are used to extrapolate the results to the physical point. The ability to perform an exact flavor decomposition allows us to present the most precise determination to date of the SU(3)-flavor-suppressed HVP function
Π
¯
08
that enters the running of sin
2
θ
W
. Our results for
Π
¯
γγ
,
Π
¯
γZ
and
Π
¯
08
are presented in terms of rational functions for continuous values of
Q
2
below 7 GeV
2
. We observe a tension of up to 3
.
5 standard deviation between our lattice results for
∆
α
had
5
(−
Q
2
) and estimates based on the
R
-ratio for space-like momenta in the range 3–7 GeV
2
. The tension is, however, strongly diminished when translating our result to the
Z
pole, by employing the Euclidean split technique and perturbative QCD, which yields
∆
α
had
5
M
Z
2
= 0
.
02773(15) and agrees with results based on the
R
-ratio within the quoted uncertainties. |
| doi_str_mv | 10.1007/JHEP08(2022)220 |
| format | article |
| fullrecord | <record><control><sourceid>proquest_doaj_</sourceid><recordid>TN_cdi_doaj_primary_oai_doaj_org_article_1e39eb0b205348aa80aaf42dc94e35ec</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><doaj_id>oai_doaj_org_article_1e39eb0b205348aa80aaf42dc94e35ec</doaj_id><sourcerecordid>2848485414</sourcerecordid><originalsourceid>FETCH-LOGICAL-c487t-56f187de03f82ac70f2a252710a3cc920ebdd46734967e21a254112fd814aeb43</originalsourceid><addsrcrecordid>eNp1Uc9LwzAULqLgnJ69FrzoYe4lTdf0KHO6yUCFeQ5v6UvX2TUzbVH_ezMruovk8ML7fj34guCcwTUDSIYP08kTyEsOnF9xDgdBjwFPB1Ik6eHe_zg4qes1AItZCr3ALFYUrjBztip06NqqKqo8tCZs_J5K0o2zG8wrajysbbstdzhW2T7hnfA13BQfHZSXFBqvCktsvIrC5_HtaXBksKzp7Gf2g5e7yWI8Hcwf72fjm_lAC5k0g3hkmEwygshIjjoBw5HHPGGAkdYpB1pmmRglkUhHCXHmQcEYN5lkAmkpon4w63wzi2u1dcUG3aeyWKjvhXW5QuePKkkxilJawpJDHAmJKAHRCJ7pVFAUk_ZeF53X1tm3lupGrW3rKn--4lL457N3icOOpZ2ta0fmN5WB2hWjumLUrhjli_EK6BS1Z1Y5uT_f_yRfVPWPnA</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2848485414</pqid></control><display><type>article</type><title>The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD</title><source>Springer Nature - SpringerLink Journals - Fully Open Access</source><source>Publicly Available Content (ProQuest)</source><creator>Cè, Marco ; Gérardin, Antoine ; von Hippel, Georg ; Meyer, Harvey B. ; Miura, Kohtaroh ; Ottnad, Konstantin ; Risch, Andreas ; José, Teseo San ; Wilhelm, Jonas ; Wittig, Hartmut</creator><creatorcontrib>Cè, Marco ; Gérardin, Antoine ; von Hippel, Georg ; Meyer, Harvey B. ; Miura, Kohtaroh ; Ottnad, Konstantin ; Risch, Andreas ; José, Teseo San ; Wilhelm, Jonas ; Wittig, Hartmut</creatorcontrib><description>A
bstract
We compute the hadronic running of the electromagnetic and weak couplings in lattice QCD with
N
f
= 2 + 1 flavors of
O
(
a
) improved Wilson fermions. Using two different discretizations of the vector current, we compute the quark-connected and –disconnected contributions to the hadronic vacuum polarization (HVP) functions
Π
¯
γγ
and
Π
¯
γZ
for Euclidean squared momenta
Q
2
≤ 7 GeV
2
. Gauge field ensembles at four values of the lattice spacing and several values of the pion mass, including its physical value, are used to extrapolate the results to the physical point. The ability to perform an exact flavor decomposition allows us to present the most precise determination to date of the SU(3)-flavor-suppressed HVP function
Π
¯
08
that enters the running of sin
2
θ
W
. Our results for
Π
¯
γγ
,
Π
¯
γZ
and
Π
¯
08
are presented in terms of rational functions for continuous values of
Q
2
below 7 GeV
2
. We observe a tension of up to 3
.
5 standard deviation between our lattice results for
∆
α
had
5
(−
Q
2
) and estimates based on the
R
-ratio for space-like momenta in the range 3–7 GeV
2
. The tension is, however, strongly diminished when translating our result to the
Z
pole, by employing the Euclidean split technique and perturbative QCD, which yields
∆
α
had
5
M
Z
2
= 0
.
02773(15) and agrees with results based on the
R
-ratio within the quoted uncertainties.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP08(2022)220</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical and Quantum Gravitation ; Continuity (mathematics) ; Couplings ; Decomposition ; Electromagnetic coupling ; Elementary Particles ; Fermions ; Flavor (particle physics) ; Hadronic Spectroscopy ; High energy physics ; Physics ; Physics and Astronomy ; Pions ; Quantum chromodynamics ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Quarks ; Rational functions ; Regular Article - Theoretical Physics ; Relativity Theory ; Standard Model Parameters ; String Theory ; Structure and Interactions ; Vector currents</subject><ispartof>The journal of high energy physics, 2022-08, Vol.2022 (8), p.220-76, Article 220</ispartof><rights>The Author(s) 2022</rights><rights>The Author(s) 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c487t-56f187de03f82ac70f2a252710a3cc920ebdd46734967e21a254112fd814aeb43</citedby><cites>FETCH-LOGICAL-c487t-56f187de03f82ac70f2a252710a3cc920ebdd46734967e21a254112fd814aeb43</cites><orcidid>0000-0001-5056-3977 ; 0000-0001-6906-6823</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2848485414/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2848485414?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25751,27922,27923,37010,44588,74896</link.rule.ids></links><search><creatorcontrib>Cè, Marco</creatorcontrib><creatorcontrib>Gérardin, Antoine</creatorcontrib><creatorcontrib>von Hippel, Georg</creatorcontrib><creatorcontrib>Meyer, Harvey B.</creatorcontrib><creatorcontrib>Miura, Kohtaroh</creatorcontrib><creatorcontrib>Ottnad, Konstantin</creatorcontrib><creatorcontrib>Risch, Andreas</creatorcontrib><creatorcontrib>José, Teseo San</creatorcontrib><creatorcontrib>Wilhelm, Jonas</creatorcontrib><creatorcontrib>Wittig, Hartmut</creatorcontrib><title>The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We compute the hadronic running of the electromagnetic and weak couplings in lattice QCD with
N
f
= 2 + 1 flavors of
O
(
a
) improved Wilson fermions. Using two different discretizations of the vector current, we compute the quark-connected and –disconnected contributions to the hadronic vacuum polarization (HVP) functions
Π
¯
γγ
and
Π
¯
γZ
for Euclidean squared momenta
Q
2
≤ 7 GeV
2
. Gauge field ensembles at four values of the lattice spacing and several values of the pion mass, including its physical value, are used to extrapolate the results to the physical point. The ability to perform an exact flavor decomposition allows us to present the most precise determination to date of the SU(3)-flavor-suppressed HVP function
Π
¯
08
that enters the running of sin
2
θ
W
. Our results for
Π
¯
γγ
,
Π
¯
γZ
and
Π
¯
08
are presented in terms of rational functions for continuous values of
Q
2
below 7 GeV
2
. We observe a tension of up to 3
.
5 standard deviation between our lattice results for
∆
α
had
5
(−
Q
2
) and estimates based on the
R
-ratio for space-like momenta in the range 3–7 GeV
2
. The tension is, however, strongly diminished when translating our result to the
Z
pole, by employing the Euclidean split technique and perturbative QCD, which yields
∆
α
had
5
M
Z
2
= 0
.
02773(15) and agrees with results based on the
R
-ratio within the quoted uncertainties.</description><subject>Classical and Quantum Gravitation</subject><subject>Continuity (mathematics)</subject><subject>Couplings</subject><subject>Decomposition</subject><subject>Electromagnetic coupling</subject><subject>Elementary Particles</subject><subject>Fermions</subject><subject>Flavor (particle physics)</subject><subject>Hadronic Spectroscopy</subject><subject>High energy physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Pions</subject><subject>Quantum chromodynamics</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Quarks</subject><subject>Rational functions</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>Standard Model Parameters</subject><subject>String Theory</subject><subject>Structure and Interactions</subject><subject>Vector currents</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp1Uc9LwzAULqLgnJ69FrzoYe4lTdf0KHO6yUCFeQ5v6UvX2TUzbVH_ezMruovk8ML7fj34guCcwTUDSIYP08kTyEsOnF9xDgdBjwFPB1Ik6eHe_zg4qes1AItZCr3ALFYUrjBztip06NqqKqo8tCZs_J5K0o2zG8wrajysbbstdzhW2T7hnfA13BQfHZSXFBqvCktsvIrC5_HtaXBksKzp7Gf2g5e7yWI8Hcwf72fjm_lAC5k0g3hkmEwygshIjjoBw5HHPGGAkdYpB1pmmRglkUhHCXHmQcEYN5lkAmkpon4w63wzi2u1dcUG3aeyWKjvhXW5QuePKkkxilJawpJDHAmJKAHRCJ7pVFAUk_ZeF53X1tm3lupGrW3rKn--4lL457N3icOOpZ2ta0fmN5WB2hWjumLUrhjli_EK6BS1Z1Y5uT_f_yRfVPWPnA</recordid><startdate>20220822</startdate><enddate>20220822</enddate><creator>Cè, Marco</creator><creator>Gérardin, Antoine</creator><creator>von Hippel, Georg</creator><creator>Meyer, Harvey B.</creator><creator>Miura, Kohtaroh</creator><creator>Ottnad, Konstantin</creator><creator>Risch, Andreas</creator><creator>José, Teseo San</creator><creator>Wilhelm, Jonas</creator><creator>Wittig, Hartmut</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><general>SpringerOpen</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><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>DOA</scope><orcidid>https://orcid.org/0000-0001-5056-3977</orcidid><orcidid>https://orcid.org/0000-0001-6906-6823</orcidid></search><sort><creationdate>20220822</creationdate><title>The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD</title><author>Cè, Marco ; Gérardin, Antoine ; von Hippel, Georg ; Meyer, Harvey B. ; Miura, Kohtaroh ; Ottnad, Konstantin ; Risch, Andreas ; José, Teseo San ; Wilhelm, Jonas ; Wittig, Hartmut</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c487t-56f187de03f82ac70f2a252710a3cc920ebdd46734967e21a254112fd814aeb43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Continuity (mathematics)</topic><topic>Couplings</topic><topic>Decomposition</topic><topic>Electromagnetic coupling</topic><topic>Elementary Particles</topic><topic>Fermions</topic><topic>Flavor (particle physics)</topic><topic>Hadronic Spectroscopy</topic><topic>High energy physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Pions</topic><topic>Quantum chromodynamics</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Quarks</topic><topic>Rational functions</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>Standard Model Parameters</topic><topic>String Theory</topic><topic>Structure and Interactions</topic><topic>Vector currents</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Cè, Marco</creatorcontrib><creatorcontrib>Gérardin, Antoine</creatorcontrib><creatorcontrib>von Hippel, Georg</creatorcontrib><creatorcontrib>Meyer, Harvey B.</creatorcontrib><creatorcontrib>Miura, Kohtaroh</creatorcontrib><creatorcontrib>Ottnad, Konstantin</creatorcontrib><creatorcontrib>Risch, Andreas</creatorcontrib><creatorcontrib>José, Teseo San</creatorcontrib><creatorcontrib>Wilhelm, Jonas</creatorcontrib><creatorcontrib>Wittig, Hartmut</creatorcontrib><collection>SpringerOpen</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection (Proquest) (PQ_SDU_P3)</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content (ProQuest)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Open Access: DOAJ - Directory of Open Access Journals</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Cè, Marco</au><au>Gérardin, Antoine</au><au>von Hippel, Georg</au><au>Meyer, Harvey B.</au><au>Miura, Kohtaroh</au><au>Ottnad, Konstantin</au><au>Risch, Andreas</au><au>José, Teseo San</au><au>Wilhelm, Jonas</au><au>Wittig, Hartmut</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2022-08-22</date><risdate>2022</risdate><volume>2022</volume><issue>8</issue><spage>220</spage><epage>76</epage><pages>220-76</pages><artnum>220</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We compute the hadronic running of the electromagnetic and weak couplings in lattice QCD with
N
f
= 2 + 1 flavors of
O
(
a
) improved Wilson fermions. Using two different discretizations of the vector current, we compute the quark-connected and –disconnected contributions to the hadronic vacuum polarization (HVP) functions
Π
¯
γγ
and
Π
¯
γZ
for Euclidean squared momenta
Q
2
≤ 7 GeV
2
. Gauge field ensembles at four values of the lattice spacing and several values of the pion mass, including its physical value, are used to extrapolate the results to the physical point. The ability to perform an exact flavor decomposition allows us to present the most precise determination to date of the SU(3)-flavor-suppressed HVP function
Π
¯
08
that enters the running of sin
2
θ
W
. Our results for
Π
¯
γγ
,
Π
¯
γZ
and
Π
¯
08
are presented in terms of rational functions for continuous values of
Q
2
below 7 GeV
2
. We observe a tension of up to 3
.
5 standard deviation between our lattice results for
∆
α
had
5
(−
Q
2
) and estimates based on the
R
-ratio for space-like momenta in the range 3–7 GeV
2
. The tension is, however, strongly diminished when translating our result to the
Z
pole, by employing the Euclidean split technique and perturbative QCD, which yields
∆
α
had
5
M
Z
2
= 0
.
02773(15) and agrees with results based on the
R
-ratio within the quoted uncertainties.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP08(2022)220</doi><tpages>76</tpages><orcidid>https://orcid.org/0000-0001-5056-3977</orcidid><orcidid>https://orcid.org/0000-0001-6906-6823</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1029-8479 |
| ispartof | The journal of high energy physics, 2022-08, Vol.2022 (8), p.220-76, Article 220 |
| issn | 1029-8479 1029-8479 |
| language | eng |
| recordid | cdi_doaj_primary_oai_doaj_org_article_1e39eb0b205348aa80aaf42dc94e35ec |
| source | Springer Nature - SpringerLink Journals - Fully Open Access; Publicly Available Content (ProQuest) |
| subjects | Classical and Quantum Gravitation Continuity (mathematics) Couplings Decomposition Electromagnetic coupling Elementary Particles Fermions Flavor (particle physics) Hadronic Spectroscopy High energy physics Physics Physics and Astronomy Pions Quantum chromodynamics Quantum Field Theories Quantum Field Theory Quantum Physics Quarks Rational functions Regular Article - Theoretical Physics Relativity Theory Standard Model Parameters String Theory Structure and Interactions Vector currents |
| title | The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD |
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