\relax \global\@todotoctrue \citation{Prigl:2001cm} \citation{Prigl:2001cm} \citation{Czarnecki:2001pv} \citation{higgslimit} \newlabel{-TOC-}{{}{1}} \@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}} \newlabel{dev}{{1.1}{1}} \newlabel{newphys}{{1.2}{1}} \citation{lepsusyhiggs} \citation{Everett:2001tq} \citation{Feng:2001tr} \citation{Baltz:2001ts} \citation{Chattopadhyay:2001vx} \citation{Komine:2001fz} \citation{Gunion:1989we} \newlabel{potmin}{{1.4}{3}} \newlabel{hpmstate}{{1.5}{3}} \newlabel{hastate}{{1.6}{3}} \newlabel{scalareigenstates}{{1.7}{3}} \newlabel{hvv}{{1.8}{3}} \newlabel{vvcoup}{{1.8}{3}} \newlabel{hix}{{1.9}{3}} \newlabel{hvcoup}{{1.10}{3}} \newlabel{qqcouplings}{{1.11}{3}} \global\@todotoctrue \citation{Jackiw:1972jz} \citation{Fujikawa:1972fe} \citation{Leveille:1978rc} \citation{haber} \citation{Krawczyk:1997sm} \citation{haber} \newlabel{hpmqq}{{1.12}{4}} \@writefile{toc}{\contentsline {section}{\numberline {2}Higgs boson corrections to the muon anomalous magnetic moment}{4}} \citation{Grifols:1980yk} \citation{lepsusyhiggs} \newlabel{amuch}{{2.4}{5}} \@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Non-decoupling limit: $\mathop {\mathgroup \symoperators sin}\nolimits (\beta -\alpha )=0$}{5}} \newlabel{hfull}{{2.8}{5}} \citation{Prigl:2001cm} \citation{Czarnecki:2001pv} \citation{CUSB} \citation{Delphi} \citation{Prigl:2001cm} \citation{Czarnecki:2001pv} \citation{CUSB} \citation{Delphi} \newlabel{app1}{{2.10}{6}} \@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Decoupling Limit: $\mathop {\mathgroup \symoperators cos}\nolimits (\beta -\alpha )=0$}{6}} \newlabel{app2}{{2.11}{6}} \global\@todotoctrue \citation{Sopczak:1995zy} \citation{Gunion:1989we} \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Contour plot of the predicted one-loop Higgs sector contribution to the muon anomalous magnetic moment, $\delta \alpha _\mu ^{\rm Higgs}$ (in units of $10^{-11}$). in the 2HDM with $\mathop {\mathgroup \symoperators sin}\nolimits (\beta -\alpha )=0$, and $m_{H}=m_{A}=m_{H^\pm }=200$\nobreakspace {}GeV. (There is little sensitivity to the heavier Higgs masses.) The dashed line contour corresponds to the central value of $\delta a_\mu \equiv a_\mu ^{\rm exp}-a_\mu ^{\rm SM}$, as reported in ref.\nobreakspace {}\cite {Prigl:2001cm}. The contours lines marked 215 and 637 correspond to 90\% CL limits for the contrubution of new physics to $a_\mu $\nobreakspace {}\cite {Czarnecki:2001pv}. The dark-shaded (red) region is excluded by CUSB Collaboration\nobreakspace {}\cite {CUSB}. The light-shaded (yellow) region is experimentally excluded by DELPHI LEP I search for $e^+e^-\to b\mathaccent "7016\relax bh$\nobreakspace {}\cite {Delphi}. In the small hatched region (green) nestled between the two excluded shaded regions centered around $m_{h}\simeq 10$\nobreakspace {}GeV, the Higgs sector contributes a value for $\delta a_\mu ^{\rm NP}$ within the $90\%$ CL allowed range [eq.\nobreakspace {}(\bgroup \let \nobreakspace {}~\special {html:}{1.2\hbox {}}\egroup \special {html:})].}}{7}} \citation{CUSB} \citation{wil} \citation{vys} \citation{nason} \citation{biswas} \citation{azn} \citation{wu} \citation{wu} \citation{Delphi} \citation{ALEPH} \@writefile{toc}{\contentsline {section}{\numberline {3}CUSB and LEP I constraints on the light Higgs boson}{8}} \citation{Chankowski:1999ta} \citation{Krawczyk:1999kk} \citation{Delphi} \global\@todotoctrue \citation{haber} \citation{egns} \citation{egns} \citation{pdg} \@writefile{toc}{\contentsline {section}{\numberline {4}Final Results and Conclusions}{9}} \newlabel{result}{{4.1}{9}} \citation{Krawczyk:2000kf} \bibcite{Prigl:2001cm}{1} \bibcite{Czarnecki:2001pv}{2} \bibcite{higgslimit}{3} \bibcite{lepsusyhiggs}{4} \bibcite{Everett:2001tq}{5} \bibcite{Feng:2001tr}{6} \bibcite{Baltz:2001ts}{7} \bibcite{Chattopadhyay:2001vx}{8} \bibcite{Komine:2001fz}{9} \bibcite{Gunion:1989we}{10} \bibcite{Jackiw:1972jz}{11} \bibcite{Fujikawa:1972fe}{12} \bibcite{Leveille:1978rc}{13} \bibcite{haber}{14} \bibcite{Krawczyk:1997sm}{15} \bibcite{Grifols:1980yk}{16} \bibcite{Sopczak:1995zy}{17} \bibcite{CUSB}{18} \bibcite{Delphi}{19} \bibcite{wil}{20} \bibcite{wu}{21} \bibcite{biswas}{22} \bibcite{azn}{23} \bibcite{vys}{24} \bibcite{nason}{25} \bibcite{Chankowski:1999ta}{26} \bibcite{Krawczyk:1999kk}{27} \bibcite{egns}{28} \bibcite{pdg}{29} \bibcite{Krawczyk:2000kf}{30}