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Enhanced quark-loop contribution to pure annihilation nonleptonic B-meson decays in the PQCD approach

Hong-Yuan Sheng1, Feng-Chen Chu1, Yue-Long Shen1,2,3,*, and Zhi-Tian Zou4

  • 1College of Physics and Optoelectric Engineering, Ocean University of China, Qingdao 266100, China
  • 2Engineering Research Center of Advanced Marine Physical Instruments and Equipment, Ministry of Education, Qingdao 266100, China
  • 3Qingdao Key Laboratory of Optics and Optoelectronics, Qingdao 266100, China
  • 4Department of Physics, Yantai University, Yantai 264005, China

  • *Contact author: shenylmeteor@ouc.edu.cn

Phys. Rev. D 111, 114029 – Published 25 June, 2025

DOI: https://doi.org/10.1103/rzn1-2d27

Abstract

In this study, we conduct an enhanced investigation of pure annihilation-type charmless hadronic B decays within the framework of the perturbative QCD approach. Specifically, we account for the quark-loop enhanced contribution to various decay processes at the next-to-leading order (NLO) in the strong coupling constant αs. The NLO amplitudes possess large imaginary parts that have signs opposite to those of the leading-order amplitudes. This cancellation effect implies that the NLO contribution does not significantly influence the branching ratios of the processes under consideration. However, the NLO effect explored in this work constitutes an important source of the strong phases in the weak-annihilation nonleptonic B¯q-meson decay amplitudes. As a result, it can have a substantial impact on CP-violating observables such as the direct CP asymmetry ACPdir and mixing-induced CP asymmetry ACPmix. The numerical result evidently revealed that NLO QCD correction significantly enhances both ACPdir and ACPmix of the pure annihilation-type B decay processes.

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