Measurements of the branching fractions of Λ_c⁺→pπ⁻π⁺, Λ_c⁺→ pK⁻K⁺, and Λ_c⁺→pπ⁻K⁺

The ratios of the branching fractions of the decays Λ_c⁺→pπ⁻π⁺, Λ_c⁺→pK⁻K⁺, and Λ_c⁺→pπ⁻K⁺ with respect to the Cabibbo-favoured Λ_c⁺→ pK⁻π⁺ decay are measured using proton-proton collision data collected with the LHCb experiment at a 7 TeV centre-of-mass energy and corresponding to an integrated luminosity of 1.0 fb⁻¹:

ℬ(Λ_c⁺→pπ⁻π⁺)/ℬ(Λ_c⁺→pK⁻π⁺) =(7.44±0.08±0.18)%,
ℬ(Λ_c⁺→pK⁻K⁺)/ℬ(Λ_c⁺→pK⁻π⁺)=(1.70±0.03±0.03)%,
ℬ(Λ_c⁺→pπ⁻K⁺)/ℬ(Λ_c⁺→pK⁻π⁺)=(0.165±0.015±0.005)%,

where the uncertainties are statistical and systematic, respectively. These results are the most precise measurements of these quantities to date. When multiplied by the world-average value for ℬ(Λ_c⁺→pK⁻π⁺), the corresponding branching fractions are

ℬ(Λ_c⁺→pπ⁻π⁺)=(4.72±0.05±0.11±0.25)×10⁻³,
ℬ(Λ_c⁺→pK⁻K⁺)=(1.08±0.02±0.02±0.06)×10⁻³,
ℬ(Λ_c⁺→pπ⁻K⁺)=(1.04±0.09±0.03±0.05)×10⁻⁴,

where the final uncertainty is due to ℬ(Λc+→pK−π+).