Towards the physical point hadronic vacuum polarisation from Moebius DWF

Marinkovic, Marina; Maltman, Kim; Del Debbio, Luigi; Juettner, Andreas; Portelli, Antonin; Boyle, Peter

doi:10.22323/1.214.0160

Article
Report number	arXiv:1502.05308 ; CERN-PH-TH-2015-009 ; CERN-PH-TH-2015-009
Title	Towards the physical point hadronic vacuum polarisation from Moebius DWF
Author(s)	Marinkovic, Marina (Southampton U. ; CERN) ; Boyle, Peter (Edinburgh U.) ; Del Debbio, Luigi (Edinburgh U.) ; Juettner, Andreas (Southampton U.) ; Maltman, Kim (York U., Canada ; Adelaide U.) ; Portelli, Antonin (Southampton U.)
Publication	SISSA, 2015-04-07
Imprint	18 Feb 2015
Number of pages	7 p, 7
Note	presented at the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, New York, NY, USA
In:	PoS LATTICE2014 (2015) 160
In:	32nd International Symposium on Lattice Field Theory, Columbia U., New York, NY, USA, 23 - 28 Jun 2014, pp.160
DOI	10.22323/1.214.0160
Subject category	Particle Physics - Lattice
Abstract	We present steps towards the computation of the leading-order hadronic contribution to the muon anomalous magnetic moment on RBC/UKQCD physical point DWF ensembles. We discuss several methods for controlling and reducing uncertainties associated to the determination of the HVP form factor.
Copyright/License	arXiv nonexclusive-distrib. 1.0 publication: © 2014-2024 The Author(s) (License: CC-BY-NC-SA-4.0) preprint: © 2015-2024 CERN (License: CC-BY-4.0)

$Left: overview of the $N_f=2+1$ RBC-UKQCD ensembles used in the HVP programme. Full red circle denotes an ensemble used in this work, its lattice size being $48^3\times 96 \times 24$ and $m_{\pi}=138\GeV$. Right: comparison of the relative precision of the scalar vacuum polarisation computed with a point source (squares) and a $\mathbb{Z}(2)\times\mathbb{Z}(2)$ stochastic source (triangles) averaged over 12 timeslices on a $48^3\times 96 \times 24$ physical point DWF ensemble. On the y-axis we plot values of $\delta\Pi(\Qh)=\Delta\Pi(\Qh)/\Pi(\Qh)$ obtained by the same number of source positions with both source types, while the x-axis reads lattice momenta $\hat{Q}^2$ in $\GeV^2$.$ $Left: overview of the $N_f=2+1$ RBC-UKQCD ensembles used in the HVP programme. Full red circle denotes an ensemble used in this work, its lattice size being $48^3\times 96 \times 24$ and $m_{\pi}=138\GeV$. Right: comparison of the relative precision of the scalar vacuum polarisation computed with a point source (squares) and a $\mathbb{Z}(2)\times\mathbb{Z}(2)$ stochastic source (triangles) averaged over 12 timeslices on a $48^3\times 96 \times 24$ physical point DWF ensemble. On the y-axis we plot values of $\delta\Pi(\Qh)=\Delta\Pi(\Qh)/\Pi(\Qh)$ obtained by the same number of source positions with both source types, while the x-axis reads lattice momenta $\hat{Q}^2$ in $\GeV^2$.$