Why my object still gets copied when I tried to return a reference

class Obj {
public:
    Obj(int aa, int bb): a(aa), b(bb) {}
    Obj(const Obj& o) {a = o.a; b = o.b;std::cout << "copying" << std::endl;}
    Obj(Obj&& o) {a = o.a; b = o.b;std::cout << "moving" << std::endl;}
    int a;
    int b;
};
const Obj& Min(const Obj &o1, const Obj &o2) {
    if (o1.a > o2.a) {
        return o1;
    } else {
        return o2;
    }
}
int main() {
    using namespace std;

    auto o1 = Obj(1,1);
    auto o2 = Obj(2,2);
    auto res = Min(o1, o2);

    cout << res.a << endl;
    res.a = 100;
    cout << o1.a << endl;
    cout << o2.a << endl;

    return 0;
}

The program still prints a word copying which indicates that the copy constructor is activated. Where is the constructor called then ? Why the function does not return a reference of o1 so that modifying the value of res will also changing the value of o1 ?