Conn. Gen. Stat. § 52-452: Costs of reassessment; bond.

If the petitioner moves for a jury, he shall pay the costs of the application and hearing whether the jury raises the damages assessed by the committee or not; and, if the jury does not lessen such damages, he shall pay costs to the respondent, but, if the jury lessens the damages, he shall pay no costs to the respondent. If the jury raises the damages, the whole costs shall be taxed against the petitioner, and the court may require bonds for costs to the adverse party from the petitioner at any stage of the proceedings, and from the respondent to the petitioner, if the respondent moves for a jury.