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Charming-loop contribution to $B_s o gammagamma$ decay | | Ilia Belov
; Alexander Berezhnoy
; Dmitri Melikhov
; | | Date: |
1 Sep 2023 | | Abstract: | We present a detailed theoretical study of nonfactorizable contributions of
the charm-quark loop to the amplitude of the $B_s o gamma,gamma$ decay.
This contribution involves the $B$-meson three-particle Bethe-Salpeter
amplitude, $langle 0|ar s(y)G_{mu
u}(x)b(0)|ar B_s(p)
angle$, for which
we take into account constraints from analyticity and continuity. The
charming-loop contribution of interest may be described as a correction to the
Wilson coefficient $C_{7gamma}$, $C_{7gamma} o C_{7gamma}(1+delta
C_{7gamma})$. We calculate an explicit dependence of $delta C_{7gamma}$ on
the parameter $lambda_{B_s}$. Taking into account all theoretical
uncertainties, $delta C_{7gamma}$ may be predicted with better than 10\%
accuracy for any given value of $lambda_{B_s}$. For our benchmark point
$lambda_{B_s}=0.45$ GeV, we obtain $delta C_{7gamma}=0.045pm 0.004$.
Presently, $lambda_{B_s}$ is not known with high accuracy, but its value is
expected to lie in the range $0.3le lambda_{B_s}({
m GeV})le 0.6$. The
corresponding range of $delta C_{7gamma}$ is found to be $0.02le delta
C_{7gamma}le 0.1$. One therefore expects the correction given by charming
loops at the level of at least a few percent. | | Source: | arXiv, 2309.00358 | | Services: | Forum | Review | PDF | Favorites | |
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