# Study of the anomalous magnetic moment of the muon computed from the Adler function

Michele Della Morte, Anthony Francis, Gregorio Herdoiza, Hanno Horch*, Benjamin Jäger, Andreas Jüttner, Harvey Meyer, Hartmut Wittig

*Corresponding author for this work

Research output: Contribution to journalConference articleResearchpeer-review

### Abstract

We compute the Adler function on the lattice from vacuum polarization data with twisted boundary conditions using numerical derivatives. The study is based on CLS ensembles with two flavours of $O(a)$ improved Wilson fermions. We extrapolate the lattice data for the Adler function to the continuum limit and to the physical pion mass and analyze its dependence on the momentum transfer. We discuss the application of this method to the extraction of the $u,d$ contribution to $a_\mu^{\mathrm{HLO}}$.
Original language English P o S - Proceedings of Science 214 1824-8039 https://doi.org/10.22323/1.214.0162 Published - 21. May 2015 32nd International Symposium on Lattice Field Theory - Columbia University, New York, United StatesDuration: 23. Jun 2014 → 28. Jun 2014

### Conference

Conference 32nd International Symposium on Lattice Field Theory Columbia University United States New York 23/06/2014 → 28/06/2014

### Fingerprint

muons
magnetic moments
momentum transfer
pions
fermions
boundary conditions
continuums
vacuum
polarization

### Cite this

Morte, Michele Della ; Francis, Anthony ; Herdoiza, Gregorio ; Horch, Hanno ; Jäger, Benjamin ; Jüttner, Andreas ; Meyer, Harvey ; Wittig, Hartmut. / Study of the anomalous magnetic moment of the muon computed from the Adler function. In: P o S - Proceedings of Science. 2015 ; Vol. 214.
@inproceedings{c3aa5c5b434d47a383934a2e0f661008,
title = "Study of the anomalous magnetic moment of the muon computed from the Adler function",
abstract = "We compute the Adler function on the lattice from vacuum polarization data with twisted boundary conditions using numerical derivatives. The study is based on CLS ensembles with two flavours of $O(a)$ improved Wilson fermions. We extrapolate the lattice data for the Adler function to the continuum limit and to the physical pion mass and analyze its dependence on the momentum transfer. We discuss the application of this method to the extraction of the $u,d$ contribution to $a_\mu^{\mathrm{HLO}}$.",
keywords = "hep-lat",
author = "Morte, {Michele Della} and Anthony Francis and Gregorio Herdoiza and Hanno Horch and Benjamin J{\"a}ger and Andreas J{\"u}ttner and Harvey Meyer and Hartmut Wittig",
note = "7 pages, 3 figures, presented at the 32nd International Symposium on Lattice Field Theory (Lattice 2014), June 23-28 2014, New York, USA",
year = "2015",
month = "5",
day = "21",
doi = "https://doi.org/10.22323/1.214.0162",
language = "English",
volume = "214",
journal = "P o S - Proceedings of Science",
issn = "1824-8039",
publisher = "SISSA",

}

Study of the anomalous magnetic moment of the muon computed from the Adler function. / Morte, Michele Della; Francis, Anthony; Herdoiza, Gregorio; Horch, Hanno; Jäger, Benjamin; Jüttner, Andreas; Meyer, Harvey; Wittig, Hartmut.

In: P o S - Proceedings of Science, Vol. 214, 21.05.2015.

Research output: Contribution to journalConference articleResearchpeer-review

TY - GEN

T1 - Study of the anomalous magnetic moment of the muon computed from the Adler function

AU - Morte, Michele Della

AU - Francis, Anthony

AU - Herdoiza, Gregorio

AU - Horch, Hanno

AU - Jäger, Benjamin

AU - Jüttner, Andreas

AU - Meyer, Harvey

AU - Wittig, Hartmut

N1 - 7 pages, 3 figures, presented at the 32nd International Symposium on Lattice Field Theory (Lattice 2014), June 23-28 2014, New York, USA

PY - 2015/5/21

Y1 - 2015/5/21

N2 - We compute the Adler function on the lattice from vacuum polarization data with twisted boundary conditions using numerical derivatives. The study is based on CLS ensembles with two flavours of $O(a)$ improved Wilson fermions. We extrapolate the lattice data for the Adler function to the continuum limit and to the physical pion mass and analyze its dependence on the momentum transfer. We discuss the application of this method to the extraction of the $u,d$ contribution to $a_\mu^{\mathrm{HLO}}$.

AB - We compute the Adler function on the lattice from vacuum polarization data with twisted boundary conditions using numerical derivatives. The study is based on CLS ensembles with two flavours of $O(a)$ improved Wilson fermions. We extrapolate the lattice data for the Adler function to the continuum limit and to the physical pion mass and analyze its dependence on the momentum transfer. We discuss the application of this method to the extraction of the $u,d$ contribution to $a_\mu^{\mathrm{HLO}}$.

KW - hep-lat

U2 - https://doi.org/10.22323/1.214.0162

DO - https://doi.org/10.22323/1.214.0162

M3 - Conference article

VL - 214

JO - P o S - Proceedings of Science

JF - P o S - Proceedings of Science

SN - 1824-8039

ER -