the nlo contributions to the scalar pion form factors and the o(αs2) annihilation corrections to the b→ππ decays

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2015
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Abstract
In this paper, by employing the kT factorization theorem, we made the first calculation for the space-like scalar pion form factor Q2F(Q2) at the leading order (LO) and the next-to-leading order (NLO) level, and then found the time-like scalar pion form factor Fa,I′(1) by analytic continuation from the space-like one. From the analytical evaluations and the numerical results, we found the following points: (a) the NLO correction to the space-like scalar pion form factor has an opposite sign with the LO one but is very small in magnitude, can produce at most 10% decrease to the LO result in the considered Q2 region; (b) the NLO time-like scalar pion form factor Fa,I′(1) describes the O(αs2) contribution to the factorizable annihilation diagrams of the considered B→ππ decays, i.e. the NLO annihilation correction; (c) the NLO part of the form factor Fa,I′(1) is very small in size, and is almost independent of the variation of cutoff scale μ0, but this form factor has a large strong phase around −55° and may play an important role in producing large CP violation for B→ππ decays; and (d) for B0→π+π− and π0π0 decays, the newly known NLO annihilation correction can produce only a very small enhancement to their branching ratios, less than 3% in magnitude, and therefore we could not interpret the well-known ππ-puzzle by the inclusion of this NLO correction to the factorizable annihilation diagrams.
Reference Key
cheng2015nuclearthe Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Shan Cheng;Ya-Lan Zhang;Zhen-Jun Xiao
Journal biology and fertility of soils
Year 2015
DOI
10.1016/j.nuclphysb.2015.04.021
URL
http://www.sciencedirect.com/science/article/pii/S0550321315001546
Keywords
radioactivity atomic energy nuclear and particle physics

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