This will help you keep up:
FTA: “The carbon dating controversy centers around tiny samples of the Shroud cut from an outer corner of the cloth. The area cut is from the most held and handled section thought to have been added during the Middle Ages as a repair or a re-weave. Then, in 2005, evidence for the repair was published in a peer-reviewed journal by chemist Ray Rogers, a STURP team member. Furthermore, a new Shroud dating analysis method originating at Padua University in Italy was published in 2013. That research dated the Shroud between 280 BC - AD 220, a 500-year timeframe that includes AD 33, the year traditionally associated with Christ’s crucifixion.”
This one?
https://en.wikipedia.org/wiki/Shroud_of_Turin#Material_chemical_analysis
In 2013, Giulio Fanti performed new dating studies on fragments obtained from the shroud. He performed three different tests including ATR-FTIR and Raman spectroscopy (absorption of light of different colors). The date range from these tests date the shroud between 300 BC and 400 AD.[ These studies have been publicly disregarded by Cesare Nosiglia, archbishop of Turin and custodian of the shroud. Cardinal Nosiglia stated that "as it is not possible to be certain that the analysed material was taken from the fabric of the shroud no serious value can be recognized to the results of such experiments".