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Hello, Please get the model number on the sticker on the back cover and post back with it.
Also, do MENU, Input or Volume icons display when you press these?
Hi and welcome to JustAnswer,
Thank you for the question and your patience. Should you still need assistance for information purposes only...Initially, bear with us; re-confirm and post back with the complete model number of the Sony; something like a KDL-46EX700.
Still, the described symptom of "...blue screen..." almost always point to video muting; i.e. the absence of a usable video signal:
All other checks would be with the use of a multi-meter.
Please post back results / observations of the above once tried.