What happens when an electron is hit by a laser beam?

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The_Thinker
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Just a quick question. We know that an accelerated electron shoots out light, and light that falls on an electron in an atom, excites it. But what happens to an electron in vaccum, when it encounters a laser beam?

If an electron beam from an electron microscope, were to to intercept a laser beam, what would happen?

Would the beam be shifted in angle? And why if they are can lasers be used to accelerate particles in a particle accelerator instead of using an electric field?
 
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Light sails use mirrors, I was aware of them before. But I am specifically asking what direction an electron would be scattered in, in the presence of a laser.

Can a laser be used to guide an electron for instance? Or does the scattering take place in all angles?