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We prove an infinite dimensional integration by parts formula on the law of the modulus of the Brownian bridge \(BB=(BB_t)_{0 \le t \le 1}\) from 0 to 0 in use of methods from white noise analysis and Dirichlet form theory. Additionally to the usual drift term, this formula contains a distribution which is constructed in the space of Hida distributions by means of a Wick product with Donsker’s delta (which correlates with the local time of |BB| at zero). This additional distribution corresponds to the reflection at zero caused by the modulus.

Integration by parts on the law of the modulus of the Brownian bridge