Is it possible there are any large asteroids or dwarf planets between gas giants?

[Kerbface]

As far as I know, nobody has discovered any yet, but do you think it's possible? There's about 10 AU between Saturn and Uranus and Uranus and Neptune and none of them have the pulling power of Jupiter, especially the last two. Is it possible? Or is there no way we could have missed them at our current level of technology?

[Scotius]

Do not underestimate the power of...gas giant Neptune has enough reach to interfere with Pluto's orbit. It may not seem much, but those planets had a lot of time to clear their neighborhood.

[maltesh]

See the Centaurs.

[metaphor]

There are many small objects between Jupiter and Neptune. The largest one discovered so far is 260 km in size, and more are being discovered all the time, filling out our inventory of solar system objects. However, the chance of there being a big (>500 km) undiscovered object in that zone is rather slim.

Beyond Neptune, however, there could be many big undiscovered objects since they're much harder to detect. Objects bigger than 500 km are routinely being discovered in that region. An Earth-sized object could even be waiting undiscovered at >100 AU.