Improved lattice computation of proton decay matrix elements
pith:OQFU7SGX Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{OQFU7SGX}
Prints a linked pith:OQFU7SGX badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
We present an improved result of lattice computation of the proton decay matrix elements in $N_f=2+1$ QCD. In this study, the significant improvement of statistical accuracy by adopting the error reduction technique of All-mode-averaging, is achieved for relevant form factor to proton (and also neutron) decay on the gauge ensemble of $N_f=2+1$ domain-wall fermions in $m_\pi=0.34$--0.69 GeV on 2.7~fm$^3$ lattice as used in our previous work \cite{Aoki:2013yxa}. We improve total accuracy of matrix elements to 10--15\% from 30--40\% for $p\rightarrow\pi e^+$ or from 20--40\% for $p\rightarrow K \bar\nu$. The accuracy of the low energy constants $\alpha$ and $\beta$ in the leading-order baryon chiral perturbation theory (BChPT) of proton decay are also improved. The relevant form factors of $p\rightarrow \pi$ estimated through the "direct" lattice calculation from three-point function appear to be 1.4 times smaller than those from the "indirect" method using BChPT with $\alpha$ and $\beta$. It turns out that the utilization of our result will provide a factor 2--3 larger proton partial lifetime than that obtained using BChPT. We also discuss the use of these parameters in a dark matter model.
This paper has not been read by Pith yet.
Forward citations
Cited by 5 Pith papers
-
EFT Pathways to $|\Delta B| =2$: Chiral Constructions and Phenomenology
A chiral EFT framework is constructed for |ΔB|=2 interactions that matches SMEFT operators to low-energy baryon processes and identifies new dinucleon decay channels sensitive to previously unconstrained operator structures.
-
Dark Matter Induced Proton Decays
A framework unifies dark matter stability and proton decay via residual Z4 symmetry from U(1)B+L breaking, with one-loop proton decay mediated by TeV-scale dark sector particles whose masses correlate with proton lifetime.
-
Fermion Multiplicities at the GUT Scale: A Statistical Study of Unification and Proton Decay
Multiple vector-like fermions in SU(5) GUT raise the unification scale to about 10^15.5 GeV, suppress proton decay operators via multiplet admixtures, and relax rigid Yukawa relations to better match observed fermion masses.
-
Reality-constrained Minimal Yukawa Structure in SO(10) GUT
Corrected reality conditions on the 10 and 120 Higgs representations in minimal SO(10) allow the Yukawa sector to fit all fermion masses and mixings while predicting a hierarchical right-handed neutrino spectrum and p...
-
Optimizing Yukawa couplings to suppress Dimension-five Proton Decay in $SU(5)$ GUT
Machine-learning optimization of Yukawa couplings in a 45-extended SUSY SU(5) model identifies parameter regions where the proton lifetime exceeds the Super-Kamiokande bound of 5.9e33 years.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.