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The cross section of the process e+e-\to\mu+\mu- was measured in the SNDexperiment at the VEPP-2M e+e- collider in the energy region \sqrt{s}=980, 1040-- 1380 MeV. The event numbers of the process e+e-\to\mu+\mu- were normalizedto the integrated luminosity measured using e+e-\to e+e- ande+e-\to\gamma\gamma processes. The ratio of the measured cross section to thetheoretically predicted value is 1.006\pm 0.007 \pm 0.016 and 1.005 \pm 0.007\pm 0.018 in the first and second case respectively. Using results of themeasurements, the electromagnetic running coupling constant \alpha in theenergy region \sqrt{s}=1040 -- 1380 MeV was obtained <1/\alpha> = 134.1\pm 0.5\pm 1.2 and this is in agreement with theoretical expectation.

Study of the process e+e-\to \mu+\mu- in the energy region \sqrt{s}=980, 1040 -- 1380 MeV