The branch will often be allocated some level of capital backing with which it can offer banking services (i.e. deposit taking or lending). Regulated banks are required to keep around 10-15% of 'regulatory capital' in relation to their loan portfolio, meaning that for every £100 they lend, they must have £10-15 of assets in reserve.
Bank branches might be fully funded via loans from their head office, or they might be funded with 10-15% of equity - it will depend on the local regulations and the bank's operations policy.
Where a branch is funded with 100% debt, as opposed to 85% debt and 15% equity - its interest payments to head office will be proportionately higher than interest payments of comparable branches which are funded with 10-15% of equity. Where interest payments are higher, tax deductions are higher for the branch and therefore its taxable income would be lower. While it's true that the taxable income of the head office will be higher and therefore there is no net advantage governments generally want their share of the branch's taxable income.