A Determination of the Second Mellin Moment of the Pion LCDA using the HOPE Method

Time : 2021/06/10 (Thu.) 12:30
Place : online 

Abstract: 
The heavy quark operator product expansion (HOPE) method allows one to extract
information about light-cone matrix elements via a numerical study of a modified
current-current correlator. When applied to the calculation of the pion light cone
distribution amplitude (LCDA), it allows (in principle) the full x-dependence of the
LCDA to be determined. In practice, finite statistics and momenta mean that only a
finite number of moments may be extracted. In this talk, I will discuss the theoretical
details of the HOPE method, including a determination of the required Wilson
coefficients and show how boosting the hadronic state leads to enhanced sensitivity to
the moments. I will also present  results for the second Mellin moment and briefly
discuss progress in the study of higher moments with this approach.