In the Standard Model of the Electroweak Interactions the value of the
Higgs trilinear self-coupling is predicted from its relation to the
Higgs mass and the Fermi constant. However, the experimental
verification of this prediction through the measurement of the double
Higgs production is extremely challenging.
I present the possibility of probing an anomalous trilinear coupling
indirectly, through its effects in the single Higgs production and
decay processes at the LHC and in the precision observables. Indeed, although
these processes do not depend on this coupling at the tree level, they
are sensitive to the Higgs self-coupling via loop effect. The
constraints on the trilinear Higgs self-coupling that can be obtained
from various observables, like the signal strength of the different
channels, the cross-section of the associate Higgs production with top
quarks and the measurement of the W mass, are presented.