The acceleration of particles up to GeV or higher energies in microquasars
has been the subject of considerable theoretical and observational efforts in
the past few years. Sco X-1 is a microquasar from which evidence of highly
energetic particles in the jet has been found when it is in the so-called
Horizontal Branch (HB), a state when the radio and hard X-ray fluxes are higher
and a powerful relativistic jet is present. Here we present the first very high
energy gamma-ray observations of Sco X-1 obtained with the MAGIC telescopes. An
analysis of the whole dataset does not yield a significant signal, with 95% CL
flux upper limits above 300 GeV at the level of 2.4x10^{-12} ph/cm^2/s.
Simultaneous RXTE observations were conducted to search for TeV emission during
particular X-ray states of the source. A selection of the gamma-ray data
obtained during the HB based on the X-ray colors did not yield a signal either,
with an upper limit of 3.4x10^{-12} ph/cm^2/s. These upper limits place a
constraint on the maximum TeV luminosity to non-thermal X-ray luminosity of
L_{VHE}/L_{ntX}<0.02, that can be related to a maximum TeV luminosity to jet
power ratio of L_{VHE}/L_{j}<10^{-3}. Our upper limits indicate that the
underlying high-energy emission physics in Sco X-1 must be inherently different
from that of the hitherto detected gamma-ray binaries.Comment: 5 pages, 2 figures, 2 tables. Version as published in ApJ