A common technique for fine-tuning relevance is to index the same data into multiple fields, each with its own analysis chain.
The main field may contain words in their stemmed form, synonyms, and words stripped of their diacritics, or accents. It is used to match as many documents as possible.
The same text could then be indexed in other fields to provide more-precise matching. One field may contain the unstemmed version, another the original word with accents, and a third might use shingles to provide information about word proximity.
These other fields act as signals to increase the relevance score of each matching document. The more fields that match, the better.