A twist-6 light-cone QCD sum-rule calculation of B_d → Λ + dark antibaryon excludes dark masses around 2.8–3.6 GeV and leaves a surviving window at 4.108–4.164 GeV near the kinematic endpoint.
Generalized Fierz identities
4 Pith papers cite this work, alongside 110 external citations. Polarity classification is still indexing.
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abstract
Low energy weak interactions calculations with fermions frequently involve a superposition of quartic products of Dirac spinors, in which the order of the spinors is not the same in all the contributing terms. A common trick that is used to bring them to a uniform ordering is the Fierz transformation. We show that the standard Fierz rearrangement formula quoted in textbooks is one element of a class of transformations of a quartic product amplitude, under which the spinors are rearranged with different orderings and, in the general case, some or all of the spinors are transformed to their Lorentz-invariant complex conjugate form. We give a pedagogical derivation of the explicit forms of all such transformation matrices. In addition to the usual Lorentz scalar quartic products, we consider pseudoscalar ones as well. Such manipulations and formulas are useful, in particular, when some of the fermions involved are Majorana particles.
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Constraints on the mass of the dark antibaryon using $B_d\rightarrow \Lambda \psi_{DS}$ channel in light cone QCD
A twist-6 light-cone QCD sum-rule calculation of B_d → Λ + dark antibaryon excludes dark masses around 2.8–3.6 GeV and leaves a surviving window at 4.108–4.164 GeV near the kinematic endpoint.