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$J=0$ fixed pole and $D$-term form factor in deeply virtual Compton scattering | | Dieter Müller
; Kirill M. Semenov-Tian-Shansky
; | | Date: |
8 Jul 2015 | | Abstract: | S.~Brodsky, F.~J.~Llanes-Estrada, and A.~Szczepaniak emphasized the
importance of the $J=0$ fixed pole manifestation in real and (deeply) virtual
Compton scattering measurements and argued that the $J=0$ fixed pole is
universal, {it i.e.}, independent on the photon virtualities
cite{Brodsky:2008qu}. In this paper we review the $J=0$ fixed pole issue in
deeply virtual Compton scattering. We employ the dispersive approach to derive
the sum rule that connects the $J=0$ fixed pole contribution and the
subtraction constant, called the $D$-term form factor for deeply virtual
Compton scattering. We show that in the Bjorken limit the $J=0$ fixed pole
universality hypothesis is equivalent to the conjecture that the $D$-term form
factor is given by the inverse moment sum rule for the Compton form factor.
This implies that the $D$-term is an inherent part of corresponding generalized
parton distribution (GPD). Any supplementary $D$-term added to a GPD results in
an additional $J=0$ fixed pole contribution and implies the violation of the
universality hypothesis. We argue that there exists no theoretical proof for
the $J=0$ fixed pole universality conjecture. | | Source: | arXiv, 1507.2164 | | Services: | Forum | Review | PDF | Favorites | |
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