Glauber gluons in annihilation amplitudes for heavy meson decays

Abstract

We investigate the Glauber divergences in nonfactorizable annihilation amplitudes for two-body hadronic heavy meson decays in the $k_T$ factorization theorem at one-loop level. These divergences can be absorbed into the Glauber factors in the dominant kinematic regions of small parton momenta, which modify the interference between a nonfactorizable annihilation amplitude and other amplitudes by rotating it with a phase. We postulate that only the Glauber effect associated with a pion is significant, due to its special role as a $q\bar{q}$ bound state and as a pseudo Nambu-Goldstone boson simultaneously. It is elaborated that the data of the $D\to \pi \pi$ and $\pi K$ branching ratios have revealed prominent Glauber effects. This work provides a solid theoretical ground for the factorization-assisted topological-amplitude parametrization of two-body hadronic $D$ meson decays.

10 pages, 3 figures

References in corpus (11)

• k_T factorization is violated in production of high-transverse-momentum particles in hadron-hadron collisions
• Branching ratios and direct CP asymmetries in $D\to PP$ decays
• Measurement of $CP$ asymmetry in $D^0\to K^{-}{K}^{+}$ and $D^0\to {\pi }^{-}{\pi }^{+}$ decays
• Glauber Gluons and Multiple Parton Interactions
• On Puzzles and Non-Puzzles in B -> pi pi, pi K Decays
• On Glauber modes in Soft-Collinear Effective Theory
• Resolving B-CP Puzzles in QCD Factorization
• Glauber gluons in spectator amplitudes for $B\to \pi M$ decays
• The role of Glauber Exchange in Soft Collinear Effective Theory and the Balitsky-Fadin-Kuraev-Lipatov Equation
• Transverse-momentum-dependent wave functions with Glauber gluons in $B\to \pi \pi$, $\rho \rho$ decays
• On the $\pi$ and $K$ as $q\bar{q}$ Bound States and Approximate Nambu-Goldstone Bosons

Cited by in corpus (1)

• Glauber gluons in pion-induced Drell-Yan processes revisited