Valence and sea decomposition of proton-antiproton W production (source code)

= Valence and sea decomposition of proton-antiproton W production
{title2=$\mathcal L_{VV},\mathcal L_{VS},\mathcal L_{SS}$}

For <charged current> production $u\bar d\to W^+$, <charge conjugation> of the antiproton distributions gives $u(x_+)d(x_-)+\bar d(x_+)\bar u(x_-)$. With a common <sea quark> distribution $S$, the <valence quark> terms are $u_vd_v$, the mixed terms are $u_vS+Sd_v$, and the two sea assignments give $2S(x_+)S(x_-)$. Omitting the second beam assignment undercounts the pure sea contribution by two.