Abstract
Abstract
We investigate the potential of rare hyperon decays to probe the short distance structure in the $$ s\to dv\overline{v} $$
s
→
dv
v
¯
and s → dℓ+ℓ− transitions. Hyperon decays into neutrinos $$ \left({B}_1\to {B}_2v\overline{v}\right) $$
B
1
→
B
2
v
v
¯
can be reliably predicted by using form factors determined in baryon chiral perturbation theory. Their decay rates are sensitive to different short-distance operators, as compared to their kaon counterparts, and the corresponding branching fractions are in the range of 10−14 ∼ 10−13 in the standard model. In the context of the low-energy effective theory, we find that the anticipated BESIII measurements of the $$ {B}_1\to {B}_2v\overline{v} $$
B
1
→
B
2
v
v
¯
decays would lead to constraints on new physics in the purely axial vector $$ \overline{d}{\gamma}_{\mu }{\gamma}_5s $$
d
¯
γ
μ
γ
5
s
current that are stronger than the present limits from their kaon siblings $$ K\to \pi \pi v\overline{v} $$
K
→
ππv
v
¯
. On the other hand, although hyperon decays into charged leptons are dominated by long-distance hadronic contributions, angular observable such as the leptonic forward-backward asymmetry is sensitive to the interference between long- and short-distance contributions. We discuss the sensitivity to new physics of a potential measurement of this observable in comparison with observables in the kaon decays KL→ μ+μ− and K+→ π+μ+μ−. We conclude that the current kaon bounds are a few orders of magnitude better than those that could be obtained from Σ+→ pμ+μ− except for two scenarios with new physics in the $$ \left(\overline{d}{\gamma}^{\mu }s\right)\left(\overline{\mathrm{\ell}}{\gamma}_{\mu }{\gamma}_5\mathrm{\ell}\right) $$
d
¯
γ
μ
s
ℓ
¯
γ
μ
γ
5
ℓ
and $$ \left(\overline{d}{\gamma}^{\mu }{\gamma}_5s\right)\left(\overline{\mathrm{\ell}}{\gamma}_{\mu}\mathrm{\ell}\right) $$
d
¯
γ
μ
γ
5
s
ℓ
¯
γ
μ
ℓ
currents. Finally, we point out that the loop effects from renormalization group evolution are important in this context, when relating the low-energy effective field theory to new physics models in the UV.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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