Tree-level contribution to (B)over-bar → Ydγ using fragmentation functions

被引:15
作者
Asatrian, H. M. [1 ]
Greub, C. [2 ]
机构
[1] Yerevan Phys Inst, Yerevan 0036, Armenia
[2] Univ Bern, Albert Einstein Ctr Fundamental Phys, Inst Theoret Phys, CH-3012 Bern, Switzerland
关键词
DECAYS; QUARK;
D O I
10.1103/PhysRevD.88.074014
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We evaluate the most important tree-level contributions connected with the b -> u (u) over bard gamma transition to the inclusive radiative decay (B) over bar -> X-d gamma using fragmentation functions. In this framework the singularities arising from collinear photon emission from the light quarks (u, (u) over bar, and d) can be absorbed into the (bare) quark-to-photon fragmentation function. We use as input the fragmentation function extracted by the ALEPH group from the two-jet cross section measured at the large electron positron (LEP) collider, where one of the jets is required to contain a photon. To get the quark-to-photon fragmentation function at the fragmentation scale mu(F) similar to m(b), we use the evolution equation, which we solve numerically. We then calculate the (integrated) photon energy spectrum for b -> u (u) over bard gamma related to the operators P-1,2(u). For comparison, we also give the corresponding results when using nonzero (constituent) masses for the light quarks.
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页数:7
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