Why do you think like that? There's no reason for you to feel this way.
この場合、次のような言い方ができますよ。
ーWhy do you think like that? There's no reason for you to feel this way.
「なんでそんなふうに思うの?そんなふうに思う理由はないよ」
There's no reason for you to feel this way.で「根拠なんてないよ」と言えます。
ご参考まで!