To add an additional tab to product edit page, you can use hookDisplayAdminProductsExtra.
First, you will have to register this hook inside install() method:
public function install() {
...
$this->registerHook('displayAdminProductsExtra')...
...
}
after that you define this:
public function hookDisplayAdminProductsExtra($params) {
...
return $this->display(__FILE__, 'views/admin/yourtemplatefile.tpl');
}
File yourtemplatefile.tpl defines the contents of your extra tab. Extra variables used in this file can be assigned inside hookDisplayAdminProductsExtra function
Here you can find additional information about creating a module: http://doc.prestashop.com/display/PS15/Creating+a+PrestaShop+module
And here you can find information about hooks: http://doc.prestashop.com/display/PS15/Hooks+in+PrestaShop+1.5