[Q] xperia ion not turning on after a general with sony pc companion topic

hello friends iam new here ... i have bought a xperia ion(lt28h) a few months ago it worked good for some days but after some months it is having a battery problem suddenly the battery drops to 1 and shutsdown at this moment i have repaired my phone using sony pc companion as it said that it will take about 3 hrs to download the required software i slept on keeping my phone connected to pc after i woke up i found my phone have a red light and on pc screen it is saying to disconnect the phone and switch it on but whne i trie to do that it it wont turn on i have tried all the key combinations like volume up and vol down on holding power button but i cant get a responce it have taken 2 days to charge but the green light is not showing up ....please help me wat should i do...... my phone is not boot unlocked..... i cant take it to sony repair center because it has a broked screen but the touch is working so iam using it i have already taken to service center but they are saying that i should also pay for the touchscreen it costs really high please tall me the solution... thanq in advance