Electromagnetic corrections to the hadronic vacuum polarization of the photon within QEDL and QEDM

Michele Della Morte, Andrea Bussone, Tadeusz Janowski

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Abstract

We compute the leading QED corrections to the hadronic vacuum polarization (HVP) of the photon, relevant for the determination of leptonic anomalous magnetic moments, al. We work in the electroquenched approximation and use dynamical QCD configurations generated by the CLS initiative with two degenerate flavors of nonperturbatively O(a)-improved Wilson fermions. We consider QEDL and QEDM to deal with the finite-volume zero modes. We compare results for the Wilson loops with exact analytical determinations. In addition we make sure that the volumes and photon masses used in QEDM are such that the correct dispersion relation is reproduced by the energy levels extracted from the charged pions two-point functions. Finally we compare results for pion masses and the HVP between QEDL and QEDM. For the vacuum polarization, corrections with respect to the pure QCD case, at fixed pion masses, turn out to be at the percent level.
Original languageEnglish
Article number06005
JournalE P J Web of Conferences
Volume175
Number of pages8
ISSN2100-014X
DOIs
Publication statusPublished - 26. Mar 2018
Event35th International Symposium on Lattice Field Theory - Granada, Spain
Duration: 18. Jun 201724. Jun 2017
Conference number: 35

Conference

Conference35th International Symposium on Lattice Field Theory
Number35
CountrySpain
CityGranada
Period18/06/201724/06/2017

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pions
electromagnetism
vacuum
photons
polarization
quantum chromodynamics
magnetic moments
fermions
energy levels
configurations
approximation

Cite this

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title = "Electromagnetic corrections to the hadronic vacuum polarization of the photon within QEDL and QEDM",
abstract = "We compute the leading QED corrections to the hadronic vacuum polarization (HVP) of the photon, relevant for the determination of leptonic anomalous magnetic moments, al. We work in the electroquenched approximation and use dynamical QCD configurations generated by the CLS initiative with two degenerate flavors of nonperturbatively O(a)-improved Wilson fermions. We consider QEDL and QEDM to deal with the finite-volume zero modes. We compare results for the Wilson loops with exact analytical determinations. In addition we make sure that the volumes and photon masses used in QEDM are such that the correct dispersion relation is reproduced by the energy levels extracted from the charged pions two-point functions. Finally we compare results for pion masses and the HVP between QEDL and QEDM. For the vacuum polarization, corrections with respect to the pure QCD case, at fixed pion masses, turn out to be at the percent level.",
author = "{Della Morte}, Michele and Andrea Bussone and Tadeusz Janowski",
year = "2018",
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doi = "10.1051/epjconf/201817506005",
language = "English",
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Electromagnetic corrections to the hadronic vacuum polarization of the photon within QEDL and QEDM. / Della Morte, Michele ; Bussone, Andrea; Janowski, Tadeusz.

In: E P J Web of Conferences, Vol. 175, 06005, 26.03.2018.

Research output: Contribution to journalConference articleResearchpeer-review

TY - GEN

T1 - Electromagnetic corrections to the hadronic vacuum polarization of the photon within QEDL and QEDM

AU - Della Morte, Michele

AU - Bussone, Andrea

AU - Janowski, Tadeusz

PY - 2018/3/26

Y1 - 2018/3/26

N2 - We compute the leading QED corrections to the hadronic vacuum polarization (HVP) of the photon, relevant for the determination of leptonic anomalous magnetic moments, al. We work in the electroquenched approximation and use dynamical QCD configurations generated by the CLS initiative with two degenerate flavors of nonperturbatively O(a)-improved Wilson fermions. We consider QEDL and QEDM to deal with the finite-volume zero modes. We compare results for the Wilson loops with exact analytical determinations. In addition we make sure that the volumes and photon masses used in QEDM are such that the correct dispersion relation is reproduced by the energy levels extracted from the charged pions two-point functions. Finally we compare results for pion masses and the HVP between QEDL and QEDM. For the vacuum polarization, corrections with respect to the pure QCD case, at fixed pion masses, turn out to be at the percent level.

AB - We compute the leading QED corrections to the hadronic vacuum polarization (HVP) of the photon, relevant for the determination of leptonic anomalous magnetic moments, al. We work in the electroquenched approximation and use dynamical QCD configurations generated by the CLS initiative with two degenerate flavors of nonperturbatively O(a)-improved Wilson fermions. We consider QEDL and QEDM to deal with the finite-volume zero modes. We compare results for the Wilson loops with exact analytical determinations. In addition we make sure that the volumes and photon masses used in QEDM are such that the correct dispersion relation is reproduced by the energy levels extracted from the charged pions two-point functions. Finally we compare results for pion masses and the HVP between QEDL and QEDM. For the vacuum polarization, corrections with respect to the pure QCD case, at fixed pion masses, turn out to be at the percent level.

U2 - 10.1051/epjconf/201817506005

DO - 10.1051/epjconf/201817506005

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JO - E P J Web of Conferences

JF - E P J Web of Conferences

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