Create a new class that extends from RadioButton. 
public class CustomRadioButton extends RadioButton {
    private int tint;
    public CustomRadioButton(Context context) {
        super(context);
    }
    public CustomRadioButton(Context context, AttributeSet attrs) {
        super(context, attrs);
        init(context, attrs, 0);
        setBackgroundTint();
    }
    public CustomRadioButton(Context context, AttributeSet attrs, int defStyleAttr) {
        super(context, attrs, defStyleAttr);
        init(context, attrs, defStyleAttr);
        setBackgroundTint();
    }
    @TargetApi(Build.VERSION_CODES.LOLLIPOP)
    public CustomRadioButton(Context context, AttributeSet attrs, int defStyleAttr, int defStyleRes) {
        super(context, attrs, defStyleAttr, defStyleRes);
        init(context, attrs, defStyleAttr, defStyleRes);
        setBackgroundTint();
    }
    @Override
    public void toggle() {
        if (isChecked()) {
            if (getParent() instanceof RadioGroup) {
                ((RadioGroup) getParent()).clearCheck();
            }
        } else {
            setChecked(true);
        }
    }
    private void init(Context context, AttributeSet attrs, int defStyle) {
        TypedArray a = context.obtainStyledAttributes(attrs, R.styleable.TintableImageView, defStyle, 0);
        tint = a.getColor(R.styleable.CustomRadioButton_tintColor, ContextCompat.getColor(context, R.color.primary_dark));
        a.recycle();
    }
    private void init(Context context, AttributeSet attrs, int defStyleAttr, int defStyleRes) {
        TypedArray a = context.obtainStyledAttributes(attrs, R.styleable.TintableImageView, defStyleAttr, defStyleRes);
        tint = a.getColor(R.styleable.CustomRadioButton_tintColor, ContextCompat.getColor(context, R.color.primary_dark));
        a.recycle();
    }
    private void setBackgroundTint() {
        Drawable drawable = getBackground();
        if (drawable != null) {
            drawable.setColorFilter(tint, PorterDuff.Mode.SRC_ATOP);
        }
    }
}
In attr.xml add:
<declare-styleable name="CustomRadioButton">
    <attr name="tintColor" format="color"/>
</declare-styleable>
Use in your layout:
<com.my.package.view.custom.CustomRadioButton
    android:layout_width="wrap_content"
    android:layout_height="wrap_content"
    android:background="@drawable/background_radio_button"
    android:button="@null"
    android:gravity="center"
    app:tintColor="@color/tint_color"/>