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.

11 pages, 4figures, aps style file

References in corpus (4)

• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• Electromagnetic Structure of the $\rho$ Meson in the Light-Front Quark Model
• Consistent treatment of spin-1 mesons in the light-front formalism
• Transition Form Factors between Pseudoscalar and Vector Mesons in Light-Front Dynamics

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