Quenched scaling of Wilson twisted mass fermions
Author(s) -
XE Collaboration,
Karl Jansen,
Mauro Papinutto,
Andrea Shindler,
Carsten Urbach,
I. Wetzorke
Publication year - 2005
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2005/09/071
Subject(s) - pseudoscalar , physics , particle physics , scaling , quark , meson , fermion , pseudoscalar meson , constant (computer programming) , pseudovector , twist , nuclear physics , mathematics , geometry , computer science , programming language
We investigate the scaling behaviour of quenched Wilson twisted mass fermionsat maximal twist applying two definitions of the critical mass. The firstdefinition uses the vanishing of the pseudoscalar meson mass m_PS while thesecond employs the vanishing of the PCAC quark mass m_PCAC. We confirm in bothcases the expected O(a) improvement. In addition, we show that the PCAC quarkmass definition leads to substantially reduced O(a^2) cut-off effects even whenthe pseudoscalar meson mass m_PS is as small as 270 MeV. At a fixed value ofm_PS we perform continuum limits for the vector meson mass m_V and for thepseudoscalar decay constant f_PS and discuss the renormalisation constant Z_Vof the vector current.Comment: 20 pages, 5 figure
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