Rules of thumb for theZ line shape

In this paper the theoretical parameters of theZ line shape, such asM_Z andG_Z, and the one photon exchange diagram are related to a set of parameters characterizing the experimental line shape. The latter are the peak height s_max, peak position <img src="/fulltext-image.asp?format=htmlnonpaginated&src=Q476044316117616_html\10052_2005_Article_BF01560271_TeX2GIFIE1.gif" border="0" alt=" $$\sqrt {s_{\max } } $$ " /> and half peak positions <img src="/fulltext-image.asp?format=htmlnonpaginated&src=Q476044316117616_html\10052_2005_Article_BF01560271_TeX2GIFIE2.gif" border="0" alt=" $$\sqrt {s_ \pm } $$ " />. The rules of thumb are accurate within 10 MeV. As a result we obtain approximate formulae which expressM_Z and G_Z in the measured <img src="/fulltext-image.asp?format=htmlnonpaginated&src=Q476044316117616_html\10052_2005_Article_BF01560271_TeX2GIFIE3.gif" border="0" alt=" $$\sqrt {s_{\max } } $$ " /> and <img src="/fulltext-image.asp?format=htmlnonpaginated&src=Q476044316117616_html\10052_2005_Article_BF01560271_TeX2GIFIE4.gif" border="0" alt=" $$\sqrt {s_ + } - \sqrt {s_ - } $$ " />.