Icon on a Call to Action Button – Best results

I'm wondering if there are some icons better than others for the main action button on a homepage's hero banner.

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In some case it would depend on the context and what the button is requiring the user to do but considering that all require the user to click on it I wonder if there is any study on icons that provide better results. I've noticed most websites don't use any icons for this button.

Options I can think of the top of my head:

  1. An arrow pointing to the text
  2. A check icon
  3. An icon that indicates the button action (a phone for a 'Contact Us', a search for a search button, a paper plane for a 'Send Enquiry')
  4. No icon at all

I'm not looking for thoughts on other variables (colour, size, etc) just icons.

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