term:

Influence

influence n

1 a : the act or power of producing an effect without any apparent exertion of force or direct exercise of command
b : corrupt interference with authority for personal gain
2 : the power or capacity of causing an effect in indirect or intangible ways
3 : one that exerts influence
in·flu·enc·er n


under the influence
: affected by alcohol or another intoxicant [was arrested for driving under the influence]