Eur. Phys. J. C (2014) 74: 2803
https://doi.org/10.1140/epjc/s10052-014-2803-9

Regular Article - Experimental Physics

Update of the ALEPH non-strange spectral functions from hadronic decays

¹ Laboratoire de l’Accélérateur Linéaire, IN2P3-CNRS et Université Paris-Sud 11, 91898 , Orsay Cedex, France
² CERN, 1211 , Geneva 23, Switzerland
³ Laboratoire de Physique Nucléaire et des Hautes Energies, IN2P3-CNRS et Universités Pierre-et-Marie-Curie et Denis-Diderot, 75252 , Paris Cedex 05, France
⁴ Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, China

^* e-mail: zhangzq@lal.in2p3.fr

Received: 4 January 2014
Accepted: 26 February 2014
Published online: 15 March 2014

Abstract

An update of the ALEPH non-strange spectral functions from hadronic decays is presented. Compared to the 2005 ALEPH publication, the main improvement is related to the use of a new method to unfold the measured mass spectra from detector effects. This procedure also corrects a previous problem in the correlations between the unfolded mass bins. Results from QCD studies and for the evaluation of the hadronic vacuum polarisation contribution to the anomalous muon magnetic moment are derived using the new spectral functions. They are found in agreement with published results based on the previous set of spectral functions.