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Radiative B to axial-vector meson decays at NLO in soft-collinear effective theory
Journal of Physics G: Nuclear and Particle Physics ( IF 3.5 ) Pub Date : 2021-04-01 , DOI: 10.1088/1361-6471/abdadd
Arslan Sikandar 1 , M Jamil Aslam 1 , Ishtiaq Ahmed 2 , Saba Shafaq 3
Affiliation  

The rare decay B, with A representing axial-vector mesons such as K 1(1270), K 1(1400), b 1(1300), a 1(1260), is studied at next-to-leading order (NLO) in soft collinear effective theory (SCET). The large outgoing meson energy encourages the study of the decay with an appropriate factorization scheme that separates the factorizable and non-factorizable parts systematically. We have analyzed the leading-power and $\mathcal{O}\left({\alpha }_{s}\right)$ diagrams that contribute to matching to SCETI. The new intermediate theory is matched onto SCETII and the running of SCETI operators is performed to sum large perturbative logarithms. The values of soft-overlap function ζ for K 1(1270, 1400), a 1 and b 1 mesons are estimated from the light cone-sum-rules, and later using it the corresponding branching fractions for $B\to \left({K}_{1}\left(1270,\enspace 1400\right),\enspace {a}_{1},\enspace {b}_{1}\right)\gamma $ decays are calculated. We find that in case of BK 1(1270, 1400)γ decays the results are in good agreement with their experimental measurements. Also the estimated values of the branching ratios of the B → (b 1, a 1)γ decays are potentially large to be measured at the LHCb and future B-factories.



中文翻译:

软共线有效理论中 NLO 处的辐射 B 到轴矢量介子衰减

稀有衰变B,其中A代表轴向矢量介子,例如K 1 (1270)、K 1 (1400)、b 1 (1300)、a 1 (1260),以次先导顺序进行研究 ( NLO) 中的软共线有效理论 (SCET)。大的传出介子能量鼓励使用适当的分解方案研究衰变,系统地分离可分解和不可分解的部分。我们已经分析了$\mathcal{O}\left({\alpha }_{s}\right)$有助于匹配 SCET I的超前功率和图表。新的中间理论与SCET II和SCET的运行相匹配执行I运算符以求和大的微扰对数。软重叠函数值ζ ķ 1(1270,1400),一个 1b 1个介子从光锥求和规则估计,并在以后使用它相应的分支比为$B\to \left({K}_{1}\left(1270,\enspace 1400\right),\enspace {a}_{1},\enspace {b}_{1}\right)\gamma $衰变被计算。我们发现,在BK 1 (1270, 1400) γ衰减的情况下,结果与他们的实验测量结果非常一致。还有B → ( b 1 , a 1 )的支化率的估计值在 LHCb 和未来的 B 工厂中,γ衰变可能很大。

更新日期:2021-04-01
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