  This study delves into the dimensional reduction of the classical effective
action of heterotic string theory on a circle, along with its T-duality
symmetry, with the aim of identifying the bosonic couplings. To achieve this,
we propose a truncation scheme for the generalized Buscher rules and the
reduced action, specifically targeting the truncation of the nonlinear
appearance of the scalar component of the Yang-Mills field in the base space.
By imposing this truncated T-duality on the reduced action, we successfully
determine the four-derivative bosonic couplings in the minimal basis, where
field redefinition is imposed. Notably, these couplings, which are associated
with the Lorentz Chern-Simons coupling $H\Omega$, exhibit an exact
correspondence with the NS-NS couplings found in the Metsaev-Tseytlin action.
  Furthermore, we investigate the bosonic couplings in the maximal basis, where
field redefinition is not imposed. In this scenario, the truncated T-duality
fixes the effective action up to 17 arbitrary parameters. By assigning specific
values to these parameters, we establish a framework in which the NS-NS
couplings align with those in the Meissner action. Remarkably, within this
scheme, the Yang-Mills couplings precisely coincide with those obtained through
the S-matrix method.
