**Quasinormal modes for arbitrary spins in the Schwarzschild background**

**Abstract:**

The leading term of the asymptotic of quasinormal modes in the
Schwarzschild background, ω_{n} = - *i n*/2, is obtained in
two straightforward analytical ways for arbitrary spins. One of
these approaches requires almost no calculations. As simply we
demonstrate that for any odd integer spin, described by the
Teukolsky equation, the first correction to the leading term
vanishes. Then, this correction for half-integer spins is
obtained in a slightly more intricate way. At last, we derive
analytically the general expression for the first correction for
all spins, described by the Teukolsky equation.