In this subsection and for the application of the provisions relating to freedom of establishment and freedom to provide services :
1° “competent authorities” means the authority or authorities of a Member State of the European Union or of a State party to the Agreement on the European Economic Area responsible, in accordance with the legislation of that State, for authorising or supervising payment institutions which have their registered office or central administration in that State ;
2° “Home State” means, in respect of a payment institution, the Member State of the European Union or the State party to the Agreement on the European Economic Area in which it has its registered office or, if, in accordance with its national law, it has no registered office, the State in which its central administration is located;
3° “Host State” means the Member State of the European Union or party to the Agreement on the European Economic Area, other than the home State, in which the payment institution carries on business under the freedom of establishment or the freedom to provide services;
4° “Branch” means one or more unincorporated parts of a payment institution whose purpose is to provide payment services. All the places of business established by a payment institution in the same host State shall be regarded as a single branch.