Nucleon distribution amplitudes and proton decay matrix elements on the lattice

Roger Horsley, Vladimir Braun, Thomas Kaltenbrunner, Yoshifumi Nakamura, Dirk Pleiter, Paul Rakow, Andreas Schafer, Gerrit Schierholz, Hinnerk Stuben, Nikolaus Warkentin, James Zanotti

Research output: Contribution to journalArticlepeer-review


Baryon distribution amplitudes (DAs) are crucial for the theory of hard exclusive reactions. We present a calculation of the first few moments of the leading-twist nucleon DA within lattice QCD. In addition we deal with the normalization of the next-to-leading (twist-four) DAs. The matrix elements determining the latter quantities are also responsible for proton decay in Grand Unified Theories. Our lattice evaluation makes use of gauge field configurations generated with two flavors of clover fermions. The relevant operators are renormalized nonperturbatively with the final results given in the MSbar scheme. We find that the deviation of the leading-twist nucleon DA from its asymptotic form is less pronounced than sometimes claimed in the literature
Original languageEnglish
Pages (from-to)034504
Number of pages24
JournalPhysical Review D
Issue number3
Publication statusPublished - 13 Feb 2009


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