Simple formulas for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">sin</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi>θ</mml:mi><mml:mrow><mml:msubsup><mml:mrow><mml:mi /></mml:mrow><mml:mrow><mml:mi>eff</mml:mi></mml:mrow><mml:mrow><mml:mi>lept</mml:mi></mml:mrow></mml:msubsup></mml:mrow><mml:mo>,</mml:mo></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/…

Abstract

The calculation of the partial widths of the Z boson in the effective scheme is discussed. Simple formulae for Sin^2 theta_eff^lept, M_W, and Gamma_l in the on-shell, MS, and effective renormalization schemes are presented. Their domain of validity extends to low M_H values probed by current experiments, and to the range of Delta alpha_hadr results from recent calculations. Physical applications of these formulae are illustrated. A comparative analysis of the above mentioned schemes is presented. The paper includes a discussion of the discrepancy of the Sin^2 theta_eff^lept values derived from the leptonic and hadronic sectors and of the shortcomings of theoretical error estimates of Sin^2 theta_eff^lept based solely on those affecting M_W.

Locations

• Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields - View
• arXiv (Cornell University) - View - PDF
• DataCite API - View