\relax \global\@todotoctrue \citation{Prigl:2001cm} \citation{Czarnecki:2001pv} \newlabel{-TOC-}{{}{1}} \@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}} \newlabel{dev}{{1.1}{1}} \newlabel{newphys}{{1.2}{1}} \citation{Ferrara:1974wb} \citation{Prigl:2001cm} \citation{Gunion:1989we} \newlabel{potmin}{{1.4}{2}} \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{typeone}{{1.11}{3}} \newlabel{typetwo}{{1.12}{4}} \newlabel{table1}{{1.15}{4}} \newlabel{table2}{{1.16}{4}} \newlabel{qqcouplings}{{1.17}{4}} \global\@todotoctrue \citation{Jackiw:1972jz} \citation{Fujikawa:1972fe} \citation{Leveille:1978rc} \citation{haber} \newlabel{hmumuI}{{1.20}{5}} \newlabel{hmumuII}{{1.22}{5}} \@writefile{toc}{\contentsline {section}{\numberline {2}Higgs boson corrections to the muon $g-2$ anomalous magnetic moment}{5}} \citation{Grifols:1980yk} \citation{Prigl:2001cm} \citation{Czarnecki:2001pv} \citation{CUSB} \citation{Delphi} \citation{Prigl:2001cm} \citation{Czarnecki:2001pv} \citation{CUSB} \citation{Delphi} \@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Non-Decoupling limit: $\mathop {\mathgroup \symoperators sin}\nolimits (\beta -\alpha )=0$}{6}} \newlabel{hfull}{{2.8}{6}} \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Contour plot of the predicted 1-loop Higgs contributions to the muon $g-2$ anomalous magnetic moment, $\delta \alpha _\mu $(higgs) (in units of $10^{-11}$), on $M_h-\mathop {\mathgroup \symoperators tan}\nolimits \beta $ plane, in the 2HDM(II) scenario. We present results with $\mathop {\mathgroup \symoperators sin}\nolimits (\beta -\alpha )=0$ as this is motivated in the text. The other Higgs masses have been set to $M_{H^\pm }=M_A=M_H$=200 GeV but their variation for above 100 GeV do not affect the results (see Eq.(\bgroup \let \nobreakspace {}~\special {html:}{2.8\hbox {}}\egroup \special {html:})). The dashed line represents the central difference between the experimental value and the SM predicted one, $\delta _{\alpha _\mu }=426\pm 165\times 10^{-11}$, as reported from BNL\nobreakspace {}\cite {Prigl:2001cm}. Contours of 90\% CL $215\times 10^{-11}\le {\rm (New \nobreakspace {}Physics) } \le 637 \times 10^{-11}$\nobreakspace {}\cite {Czarnecki:2001pv} need to recover the current experimental value, are shown. The region on the left side and behind the blue line is excluded by CUSB Collaboration\nobreakspace {}\cite {CUSB}. The region above the solid red line is experimentally excluded by DELPHI LEP I searches\nobreakspace {}\cite {Delphi}.}}{7}} \newlabel{app1}{{2.10}{7}} \global\@todotoctrue \citation{CUSB} \@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Decoupling Limit: $\mathop {\mathgroup \symoperators cos}\nolimits (\beta -\alpha )=0$}{8}} \newlabel{app2}{{2.11}{8}} \@writefile{toc}{\contentsline {section}{\numberline {3}CUSB and LEP I constraints on the light Higgs boson}{8}} \citation{wil} \citation{wu} \citation{biswas} \citation{azn} \citation{wu} \citation{vys} \citation{nason} \citation{wil} \citation{wu} \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Contour plot of the Higgs 1-loop contributions to the muon $g-2$ anomalous magnetic moment $\delta _{\alpha _\mu }$(higgs) (in units of $10^{-14}$), on a plane $M_A-\mathop {\mathgroup \symoperators tan}\nolimits \beta $, in the decoupling limit, {\it i.e.,} $\mathop {\mathgroup \symoperators cos}\nolimits (\beta -\alpha )=0$.. The light Higgs boson mass has been fixed to its current experimental bound, $M_h=115$ GeV. The heavy CP-even and the charged Higgses are taken to be equal to $M_A$. Note the residual enhancement with the $\mathop {\mathgroup \symoperators tan}\nolimits \beta $ even in the region of large $M_A$.}}{9}} \newlabel{ups}{{3.1}{9}} \citation{Delphi} \global\@todotoctrue \newlabel{exp1}{{3.3}{10}} \newlabel{exp2}{{3.4}{10}} \@writefile{toc}{\contentsline {section}{\numberline {4}Combined Results and Conclusions}{10}} \citation{Krawczyk:2000kf} \citation{Prigl:2001cm} \bibcite{Prigl:2001cm}{1} \bibcite{Czarnecki:2001pv}{2} \bibcite{Ferrara:1974wb}{3} \bibcite{Gunion:1989we}{4} \bibcite{Jackiw:1972jz}{5} \bibcite{Fujikawa:1972fe}{6} \bibcite{Leveille:1978rc}{7} \bibcite{haber}{8} \bibcite{Grifols:1980yk}{9} \bibcite{CUSB}{10} \bibcite{Delphi}{11} \bibcite{wil}{12} \bibcite{wu}{13} \newlabel{result}{{4.1}{11}} \bibcite{biswas}{14} \bibcite{azn}{15} \bibcite{vys}{16} \bibcite{nason}{17} \bibcite{Krawczyk:2000kf}{18}