Precise prediction for theW-boson mass in the standard model

Abstract

The presently most accurate prediction for the W-boson mass in the Standard Model is obtained by combining the complete two-loop result with the known higherorder QCD and electroweak corrections. The numerical impact of the different contributions is analysed in detail. A simple parametrisation of the full result is presented, which approximates the full result for M W to better than 0.5 MeV for 10 GeV ≤ M H ≤ 1 TeV if the other parameters are varied within their combined 2σ region around their experimental central values. The different sources of remaining theoretical uncertainties are investigated. Their effect on the prediction of M W is estimated to be about 4 MeV for M H <

Precise prediction forMWin the MSSM

“…This implies that the theoretical uncertainties from unknown higher-order corrections reduce to those in the SM in the decoupling limit. In the SM, based on all higher-order contributions that are currently known, the remaining uncertainty in M W has been estimated to be [16] δM SM W = 4 MeV .…”

“…from ∆r SM (M SM W ) [16]. Here ∆r (α 2 ) ferm, sublead denotes the subleading fermionic two-loop terms beyond the leading m 4 t term and the reducible terms.…”

“…[16], and a compact expression for the total SM result for M W was presented. This compact expression approximates the full SM-result for M W to better than 0.5 MeV for Higgs masses ranging from 10 GeV ≤ M H ≤ 1 TeV, with the other parameters (m t , ∆α 5 had…”

“…In order to make contact with the known SM result we use the compact expression for the total SM result for M W as given in Ref. [16]. This requires some care in the iterative evaluation of M W .…”

“…Within the SM, the complete one-loop [11] and two-loop [12][13][14][15][16] results are known as well as leading higher-order contributions [17][18][19][20][21].…”