Remarks on the hadronic matrix elements relevant to the SUSY K-Kbar mixing amplitude

Abstract

We compute the 1-loop chiral corrections to the bag parameters which are needed for the discussion of the SUSY K-Kbar mixing problem in both finite and infinite volume. We then show how the bag parameters can be combined among themselves and with some auxiliary quantities and thus sensibly reduce the systematic errors due to chiral extrapolations as well as those due to finite volume artefacts present in the results obtained from lattice QCD. We also show that in some cases these advantages remain as such even after including the 2-loop chiral corrections. Similar discussion is also made for the K --> pi electro-weak penguin operators.

13 pages, 3 figures [added 1 reference and a discussion about the impact of the NNLO chiral corrections to the "golden ratios" (c.f. Sec.6)]

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• Neutral kaon mixing beyond the standard model with nf=2+1 chiral fermions
• Neutrinoless double beta decay and chiral $SU(3)$
• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• Matrix elements of the complete set of ΔB = 2 and ΔC = 2 operators in heavy meson chiral perturbation theory
• An exploratory lattice study of DI=3/2 K -> pi pi decays at next-to-leading order in the chiral expansion
• Chiral behavior of the B(s,d)-Bbar(s,d) mixing amplitude in the Standard Model and beyond
• Kaon mixing matrix elements from beyond-the-Standard-Model operators in staggered chiral perturbation theory
• Contributions from SUSY-FCNC couplings to the interpretation of the HyperCP events for the decay Σ^+ \to p μ^+ μ^-
• On the matrix elements of dB=0 operators in the heavy meson decay widths
• Toolkit for staggered $\Delta S=2$ matrix elements
• Chiral extrapolation of matrix elements of BSM kaon operators
• Role of Resonances in Heavy Meson Processes within Standard Model and Beyond
• $B_7$, $B_8$ and chiral Ward identities