Meaning of “however” - Learner’s Dictionary

however

adverb us uk /haʊˈevər/
You shouldn't hit him however angry you are.It's going to happen however much I want to avoid it.Every village, however small, takes part.He always went to work however ill he felt.Life's hard however old you are.
however cold/difficult/slowly, etc

B2 used to say that it does not make any difference how cold/difficult/slowly, etc something is or happens:

We're not going to get there in time, however fast we drive.
COMPARING

A2 used when you are about to say something that is surprising compared with what you have just said:

He had always been a successful businessman. Recently, however, things have not been going well for him.
ASKING UK

used to ask about how something happened when the person asking feels surprised:

However did you manage to persuade her?

(Definition of “however adverb” from the Cambridge Learner’s Dictionary © Cambridge University Press)