The Light-Front Zero-Mode Contribution to the Good Current in Weak Transition

Abstract

We examine the light-front zero-mode contribution to the good(+) current matrix elements between pseudoscalar and vector mesons. In particular, we discuss the transition form factor $f(q^2)$ which has been suspected to have the light-front zero-mode contribution. While the zero-mode contribution in principle depends on the form of the vector meson vertex ${\Gamma }^{\mu }={\gamma }^{\mu }-(P_V-2k{)}^{\mu }/D$, the form factor $f(q^2)$ is found to be free from the zero-mode contribution if the denominator $D$ contains the term proportional to the light-front energy $(k^{-}{)}^n$ with the power $n>0$. The lack of zero-mode contribution benefits the light-front quark model phenomenology. We present our numerical calculations for the $B\to \rho$ transition.

Comments: 11 pages, 4figures, aps style file