fix match

Author: jorisvandenbossche

doc/source/whatsnew/v2.3.3.rst

@@ -35,7 +35,7 @@ Bug fixes
 - Fix bug in :meth:`Series.str.replace` using named capture groups (e.g., ``\g<name>``) with the Arrow-backed dtype would raise an error (:issue:`57636`)
 - Fix regression in ``~Series.str.contains``, ``~Series.str.match`` and ``~Series.str.fullmatch``
   with a compiled regex and custom flags (:issue:`62240`)
-- Fix :meth:`Series.str.fullmatch` not matching patterns with groups correctly for the Arrow-backed string dtype (:issue:`61072`)
+- Fix :meth:`Series.str.match` and :meth:`Series.str.fullmatch` not matching patterns with groups correctly for the Arrow-backed string dtype (:issue:`61072`)
 
 
 Improvements and fixes for Copy-on-Write

pandas/core/arrays/_arrow_string_mixins.py

@@ -316,7 +316,7 @@ def _str_match(
         na: Scalar | lib.NoDefault = lib.no_default,
     ):
         if not pat.startswith("^"):
-            pat = f"^{pat}"
+            pat = f"^({pat})"
         return self._str_contains(pat, case, flags, na, regex=True)
 
     def _str_fullmatch(