Proton decay matrix element on lattice at physical pion mass

Yoo, J.; Aoki, Yasumichi; Izubuchi, Taku; Syritsyn, Sergey

doi:10.22323/1.334.0187

Cited by 9 publications

(14 citation statements)

References 80 publications

(212 reference statements)

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“…Let us now turn to a rough estimate of the proton decay half-life. Using results from lattice QCD calculations [48][49][50][51] and chiral perturbation theory [52][53][54], the twobody proton decay half-life can be calculated as 6 τ ≃ 1 12, the particles in the one-loop diagrams can be rather long-lived. Depending on the choices of parameters, i.e., Yukawa couplings and mass hierarchies of the new particles, decay lengths can vary from unmeasurably short to many meters.…”

Section: A General Discussionmentioning

confidence: 99%

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Proton decay at one loop

2019

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Proton decay is usually discussed in the context of grand unified theories. However, as is well known, in the standard model effective theory proton decay appears in the form of higher-dimensional nonrenormalizable operators. Here, we study systematically the one-loop decomposition of the d ¼ 6 B þ L violating operators. We exhaustively list the possible one-loop ultraviolet completions of these operators and discuss that, in general, two distinct classes of models appear. Models in the first class need an additional symmetry in order to avoid tree-level proton decay. These models necessarily contain a neutral particle, which could act as a dark matter candidate. For models in the second class the loop contribution dominates automatically over the tree-level proton decay, without the need for additional symmetries. We also discuss possible phenomenology of two example models, one from each class, and their possible connections to neutrino masses, LHC searches and dark matter.

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Section: A General Discussionmentioning

confidence: 99%

“…with which, and also with the help of the nucleon matrix elements calculated from lattice [48][49][50][51] and chiral perturbation theory [52][53][54], one can directly calculate the rates of proton decay. The notations and the derivations of the coefficients, factors, and signs are given in the Appendix.…”

Section: Proton Decay Operators At One Loopmentioning

confidence: 99%

Proton decay at one loop

2019

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“…We use, in this study, the N f = 2 + 1 physical point ensemble generated by the PACS collaboration with Iwasaki gauge (β = 1.82) and tree-level improved Wilson fermion with the stout link (ρ = 0.1, N = 6), corresponding to the lattice cutoff of a −1 = 2.233(18) GeV. The lattice volume 64 4 is mostly used while 96 4 is used for a check of the finite volume effect.…”

Section: Lattice Parameters and Measurement Proceduresmentioning

confidence: 99%

“…Figure 1 shows projected vertex functions with the procedure described in [10] as a function of injected momentum squared. The 64 4 PACS ensemble is used. The diagonal elements of this 3 × 3 matrix M a,b are shown in the upper panel and the off-diagonal elements in the lower.…”

Section: Llll Rlll A(lv)ll Llrl Rlrl A(lv)rl Lla(lv) Rla(lv) mentioning

confidence: 99%

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Proton decay matrix elements with physical quark masses

Aoki¹,

Kuramashi²,

Shintani³

et al. 2020

Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)

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Proton decay matrix elements in QCD are indispensable quantities to constrain GUT models through the lower bound of the proton lifetime measured in the current and future underground experiments. Results obtained with lattice QCD so far have potentially largest systematic uncertainty on the chiral extrapolation. We report on the relevant form factors of one of the dominant decay processes: a proton decaying into a pion and an anti-lepton with a three-quark operator, using the physical-point, improved Wilson-fermion configurations generated by the PACS collaboration at the lattice spacing of 0.084fm.

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Light-cone sum rules for proton decay

Haisch

Hala

2021

J. High Energ. Phys.

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We estimate the form factors that parametrise the hadronic matrix elements of proton-to-pion transitions with the help of light-cone sum rules. These form factors are relevant for semi-leptonic proton decay channels induced by baryon-number violating dimension-six operators, as typically studied in the context of grand unified theories. We calculate the form factors in a kinematical regime where the momentum transfer from the proton to the pion is space-like and extrapolate our final results to the regime that is relevant for proton decay. In this way, we obtain estimates for the form factors that show agreement with the state-of-the-art calculations in lattice QCD, if systematic uncertainties are taken into account. Our work is a first step towards calculating more involved proton decay channels where lattice QCD results are not available at present.

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Proton decay matrix element on lattice at physical pion mass

Cited by 9 publications

References 80 publications

Proton decay at one loop

Proton decay at one loop

Proton decay matrix elements with physical quark masses

Light-cone sum rules for proton decay

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