Sean Carroll is truly the physicist who speak English!! I finally understand why Higg's field make the world has mass in the Appendix 1.... So MUST read this Appendix at the end of the book.
"There is a symmetry that seems to prohibit any mass at all, and the Higgs field break that symmetry... The weak interactions couple to fermions of one helicity but not the other. In particular, before the Higgs comes along to break the symmetry, the massless gauge bosons of the weak interactions couple to left-handed fermions and not right-handed ones, and they also couple to right-handed antifermions and not left-handed ones."
It means, weak interaction is born to be right-handed, even before its symmetry was broken by Higg field....Continua