Nilanjan Raychaudhuri's upcoming book
"Scala In Action" opens with a chapter called "Why Scala?" that you can
download for free from the publisher's website.
Scala's syntax looks similar to Java initially and is statically typed like Java, so it's easier to start with than, say, Clojure. And it's very easy to use Java libraries inside Scala, for example. Several organisations have taken advantage of this similarity to help their Java developers make the transition to Scala - initially developers write in a "Java-as-Scala" style, but gradually adapt to writing more idiomatic Scala as they become comfortable with functional programming etc. Syntax is easy to learn, whatever language you're using, but you need to understand the programming paradigm underneath the syntax. So for Scala and Clojure, you would need to learn about functional programming in order to make best use of them. But this is also what makes these languages interesting and fun to learn about.
The free online Coursera course
Functional Programming Principles In Scala is running again from 25 March if you want to learn about FP and Scala from the guy who invented the language, Martin Odersky. I took this course in the autumn and it was excellent - I learned a great deal in a short time, and it's really made me keen to find out more about FP and Scala in particular. I can highly recommend this course, and I think learning about FP can help to make you a better programmer, whichever language you work with in future.
As for your other JVM options - Clojure is interesting as a dynamically typed FP alternative, but so far I have found it harder to get used to a Lisp language. Groovy is great and very easy to learn if you're coming from a Java background, but Groovy is solving different problems than Scala, e.g. I think Scala is designed to provide much better scalability and concurrency than Groovy. I haven't used Jython, but I would have slight reservations about adopting a language that's really a JVM-port from a completely different platform, although I like Python too.
I can highly recommend
"The Well-Grounded Java Developer" by Benjamin Evans and Martijn Verburg, which has a lot of stuff about "polyglot programming" with alternative JVM languages, including Scala, Groovy and Clojure. And it will help with your Java programming as well.