## Abstract

We study the light-front zero-mode contribution to the transition form factors (g, f, a _{±}, T _{i}) (i = 1, 2, 3) for the exclusive semileptonic P → Vℓν _{ℓ} and rare P → Vℓ ^{+}ℓ ^{-} decays using a covariant fermion field theory model in (3+1) dimensions. While the zero-mode contribution in principle depends on the form of the vector meson vertex Γ ^{μ} = γ ^{μ} - (2k - P _{V}) ^{μ}/D, the six form factors (g, f, a _{+}, T _{1}, T _{2}, T _{3}) are found to be free from the zero mode if the denominator D contains the term proportional to the light-front longitudinal momentum fraction factor (1/x) ^{n} of the struck quark with the power n > 0. Although the form factor a _{-} is not free from the zero mode, the zero-mode contribution comes only either from the simple vertex Γ ^{μ} = γ ^{μ} term or from the other term just with a constant D (i. e. n = 0). We identify the zero-mode operator that is convoluted with the initial- and final-state valence wave functions to generate the zero-mode contribution to a _{-}.

Original language | English |
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Pages (from-to) | 409-414 |

Number of pages | 6 |

Journal | Few-Body Systems |

Volume | 52 |

Issue number | 3-4 |

DOIs | |

State | Published - May 2012 |