The Two Loop Long Range Effect on the Proton Decay Effective Lagrangian

Nihei, Takeshi; Arafune, J.

doi:10.1143/ptp.93.665

Cited by 57 publications

(70 citation statements)

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“…Thus, combined with the long-distance effects given in Ref. [1], our results offer a tool for making a prediction of the proton decay rate with accuracy of two-loop level.…”

Section: Introductionsupporting

confidence: 52%

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Renormalization Factors of Dimension-six Proton Decay Operators in the Supersymmetric Standard Models

Kobayashi¹

2015

Proceedings of KMI International Symposium 2013 on “Quest for the Origin of Particles and the Universe — PoS(KMI2013)

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The renormalization factors of the dimension-six effective operators for proton decay are evaluated at two-loop level in the supersymmetric grand unified theories. For this purpose, we use the previous results in which the quantum corrections to the effective Kähler potential are evaluated at two-loop level. Numerical values for the factors are presented in the case of the minimal supersymmetric SU(5) grand unified model.

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“…Thus, combined with the long-distance effects given in Ref. [1], our results offer a tool for making a prediction of the proton decay rate with accuracy of two-loop level.…”

Section: Introductionsupporting

confidence: 52%

“…In Ref. [1], the long-distance QCD corrections are computed at two-loop level. For the short-distance factors, on the other hand, only the one-loop calculation is carried out in Ref.…”

Section: Introductionmentioning

confidence: 99%

Renormalization Factors of Dimension-six Proton Decay Operators in the Supersymmetric Standard Models

Kobayashi¹

2015

Proceedings of KMI International Symposium 2013 on “Quest for the Origin of Particles and the Universe — PoS(KMI2013)

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“…By using the two-loop RGE given in ref. [156], we compute the Wilson coefficients at the hadronic scale µ had as In non-SUSY GUTs, the dominant decay mode of proton is p → π 0 e + . The partial decay width of the mode is computed as…”

Section: Jhep10(2015)193mentioning

confidence: 99%

Weakly-interacting massive particles in non-supersymmetric SO(10) grand unified models

Nagata

Olive

Zheng

2015

J. High Energ. Phys.

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Non-supersymmetric SO(10) grand unified theories provide a framework in which the stability of dark matter is explained while gauge coupling unification is realized. In this work, we systematically study this possibility by classifying weakly interacting dark matter candidates in terms of their quantum numbers of SU(2) L ⊗ U(1) Y , B − L, and SU(2) R . We consider both scalar and fermion candidates. We show that the requirement of a sufficiently high unification scale to ensure a proton lifetime compatible with experimental constraints plays a strong role in selecting viable candidates. Among the scalar candidates originating from either a 16 or 144 of SO(10), only SU(2) L singlets with zero hypercharge or doublets with Y = 1/2 satisfy all constraints for SU(4) C ⊗ SU(2) L ⊗ SU(2) R and SU(3) C ⊗ SU(2) L ⊗ SU(2) R ⊗ U(1) B−L intermediate scale gauge groups. Among fermion triplets with zero hypercharge, only a triplet in the 45 with intermediate group SU(4) C ⊗ SU(2) L ⊗ SU(2) R leads to solutions with M GUT > M int and a long proton lifetime. We find three models with weak doublets and Y = 1/2 as dark matter candidates for the SU(4) C ⊗ SU(2) L ⊗ SU(2) R and SU(4) C ⊗ SU(2) L ⊗ U(1) R intermediate scale gauge groups assuming a minimal Higgs content. We also discuss how these models may be tested at accelerators and in dark matter detection experiments.

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“…where R L = 1.36 is the two-loop long-range running effect on the effective proton decay operator [59], α H −0.01GeV 3 [60] denotes the relevant hadronic matrix element defined by …”

Section: Proton Lifetimementioning

confidence: 99%

Minimal nonsupersymmetricSO(10)model: Gauge coupling unification, proton decay, and fermion masses

Babu

Khan

2015

Phys. Rev. D

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We present a minimal renormalizable non-supersymmetric SO(10) grand unified model with a symmetry breaking sector consisting of Higgs fields in the 54 H + 126 H + 10 H representations. This model admits a single intermediate scale associated with Pati-Salam symmetry along with a discrete parity. Spontaneous symmetry breaking, the unification of gauge couplings and proton lifetime estimates are studied in detail in this framework. Including threshold corrections self-consistently, obtained from a full analysis of the Higgs potential, we show that the model is compatible with the current experimental bound on proton lifetime. The model generally predicts an upper bound of few times 10 35 yrs for proton lifetime, which is not too far from the present Super-Kamiokande limit of τ p 1.29 × 10 34 yrs. With the help of a Pecci-Quinn symmetry and the resulting axion, the model provides a suitable dark matter candidate while also solving the strong CP problem. The intermediate scale, M I ≈ (10 13 − 10 14 ) GeV which is also the B − L scale, is of the right order for the righthanded neutrino mass which enables a successful description of light neutrino masses and oscillations. The Yukawa sector of the model consists of only two matrices in family space and leads to a predictive scenario for quark and lepton masses and mixings. The branching ratios for proton decay are calculable with the leading modes being p → e + π 0 and p → νπ + .Even though the model predicts no new physics within the reach of LHC, the next generation proton decay detectors and axion search experiments have the capability to pass verdict on this minimal scenario. *

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The Two Loop Long Range Effect on the Proton Decay Effective Lagrangian

Cited by 57 publications

References 0 publications

Renormalization Factors of Dimension-six Proton Decay Operators in the Supersymmetric Standard Models

Renormalization Factors of Dimension-six Proton Decay Operators in the Supersymmetric Standard Models

Weakly-interacting massive particles in non-supersymmetric SO(10) grand unified models

Minimal nonsupersymmetricSO(10)model: Gauge coupling unification, proton decay, and fermion masses

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