Mitra, A. N.
(2000)
*Soft-QCD effects in B⇒γγ decay: quark level form factors*
Physics Letters B, 473
(3-4).
pp. 297-304.
ISSN 0370-2693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03702...

Related URL: http://dx.doi.org/10.1016/S0370-2693(99)01504-X

## Abstract

Soft-QCD effects of quark-level form factors in γγ decay of B_{s}-mesons via DD̅ intermediate states, suggested by Ellis et al., are examined in the "Salpeter" model [reinterpreted in terms of the Markov-Yukawa Transversality Principle (MYTP)] when formulated on a covariant light front (null-plane). The gluonic kernel in the infrared regime which generates the constituent mass via standard DBχS, is calibrated to both qq̅ and qqq spectra, meson mass splittings, pion form factor, and other parameters. With this check, an exact evaluation of the DD̅γ vertex form factor F(α) (normalized to F(0)=1), gives a multiplicative effect of F^{2}(α) on the B_{s}⇒γγ amplitude via D-meson triangle loop, where α = (p^{2}+M^{2})/M^{2} is the off-shellness parameter of the exchanged D-meson of mass M and 4-momentum p_{μ}, and is a variables of the (internal) loop integration. Unfortunately, the F^{2}(α) effect decreases the loop amplitude by a factor of 30 w.r.t. the point hadron value, resulting in a reduction of 3 orders of magnitude in long distance (hadronic) contributions to the B_{s}⇒γγ decay rate, thus greatly impairing the visibility of such modes.

Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |

Keywords: | B_{s} Radiative Decay; Soft-QCD; Vertex Function; Form Factor; Markov-Yukawa-Transversality Principle; Salpeter Equation; Covariant Light-front |

ID Code: | 34456 |

Deposited On: | 09 Apr 2011 08:01 |

Last Modified: | 09 Apr 2011 08:01 |

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