Proton decay matrix elements with domain-wall fermions

Aoki, Yasumichi; Dawson, C.; Noaki, J.; Soni, Amarjit

doi:10.1103/physrevd.75.014507

Cited by 102 publications

(178 citation statements)

References 71 publications

(85 reference statements)

Supporting

Mentioning

164

Contrasting

Unclassified

Order By: Relevance

“…Our results confirm the relative signs of f N , 1 and 2 calculated in [23,46]. Furthermore we observe m N ð2 1 þ 2 Þ=8 ¼ þ % 0 as in [41,47]. This is expected since due to (36) 2 1 þ 2 vanishes in the nonrelativistic limit and is known to be small at small quark masses [48].…”

Section: B Unconstrained Analysissupporting

confidence: 78%

“…Thus we take the results from this fit as our final values, but for comparison we also give the results from the other extrapolation. In contrast to [41,47] we do not observe linear behavior for m N i as a function the quark mass. However, our results from the linear extrapolation of i =m N are compatible within the errors with those in [41,47].…”

Section: B Unconstrained Analysismentioning

confidence: 43%

“…However, calculating the general three-quark operator for many momenta turned out to be too expensive. Hence the general correlators (41), and therefore also the correlators for DA operators, were evaluated only for a minimal set of momenta.…”

Section: A General Discussionmentioning

confidence: 99%

“…The correlator in Eq. (43) can be directly constructed from the general correlation function (41). The matrix element on the right-hand side is the quantity we want to determine.…”

Section: A General Featuresmentioning

confidence: 99%

“…Using the notation of Ref. [41] the relevant factors in the decay amplitude for the proton to 0 decay (cf. Figure 1) have the form…”

Section: General Framework a Leading Twistmentioning

confidence: 99%

See 4 more Smart Citations

Nucleon distribution amplitudes and proton decay matrix elements on the lattice

et al. 2009

View full text Add to dashboard Cite

fryon distriution mplitudes @hesA re ruil for the theory of hrd exlusive retionsF e present lultion of the (rst few moments of the ledingEtwist nuleon he within lttie ghF sn ddition we del with the normliztion of the nextEtoEleding @twistEfourA hesF he mtrix elements determining the ltter quntities re lso responsile for proton dey in qrnd ni(ed heoriesF yur lttie evlution mkes use of guge (eld on(gurtions generted with two )vors of lover fermionsF he relevnt opertors re renormlized nonperturtively with the (nl results given in the w shemeF e (nd tht the devition of the ledingEtwist nuleon he from its symptoti form is less pronouned thn sometimes limed in the litertureF I.

show abstract

Section: B Unconstrained Analysissupporting

confidence: 78%

Section: B Unconstrained Analysismentioning

confidence: 43%

Section: A General Discussionmentioning

confidence: 99%

“…The correlator in Eq. (43) can be directly constructed from the general correlation function (41). The matrix element on the right-hand side is the quantity we want to determine.…”

Section: A General Featuresmentioning

confidence: 99%

“…Using the notation of Ref. [41] the relevant factors in the decay amplitude for the proton to 0 decay (cf. Figure 1) have the form…”

Section: General Framework a Leading Twistmentioning

confidence: 99%

See 3 more Smart Citations

Nucleon distribution amplitudes and proton decay matrix elements on the lattice

et al. 2009

View full text Add to dashboard Cite

show abstract

Study of non-minimal SUSY SU(5) model with realistic fermion sectors

Zhang

2011

J. High Energ. Phys.

View full text Add to dashboard Cite

We study a supersymmetric SU(5) model with the extra Higgs multiplets of 45+\bar 45. The unification of the gauge couplings, the fermion masses and the proton lifetime are discussed in details. The dimension-five operators mediated by different colored Higgs sector can be destructive with each other. This effect serves a way of solving the longevity of proton. We analytically analyze this destructive effect in a special limit where the mixing between the 5- and 45-plets is small. Although the theory does not hold in this special limit, it is a revelatory starting point. We can relax this limit and retain the destructive effect. In a generalized parameter space, this model is in accord with experimental results

show abstract

Probing R-parity violation in B-meson decays to a baryon and a light neutralino

Dib

Helo

Lyubovitskij

et al. 2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We propose a search for B meson decays to a baryon plus missing energy at the Belle II experiment to probe supersymmetry with a GeV-scale lightest neutralino $$ {\overset{\sim }{\chi}}_1^0 $$ χ ~ 1 0 and R-parity violation (RPV). We perform analytic computations of the signal branching fractions in the framework of effective field theory, with a single nonzero RPV operator $$ {\lambda}_{ij3}^{\prime \prime }{\overline{U}}_i^c{\overline{D}}_j^c{\overline{D}}_3^c $$ λ ij 3 ′ ′ U ¯ i c D ¯ j c D ¯ 3 c , where i, j = 1, 2. The hadronic form factors are calculated using an SU(3) phenomenological Lagrangian approach for the proton, as well as several hyperons and charmed baryons. Since the decay of the neutralino is kinematically and CKM suppressed in this theoretical scenario, it decays outside the detector and appears experimentally only as missing energy. We detail the analysis techniques at the experimental level and estimate the background in the $$ {B}^{+}\to p{\overset{\sim }{\chi}}_1^0 $$ B + → p χ ~ 1 0 search using published results for $$ {B}^{+}\to {K}^{+}\nu \overline{\nu} $$ B + → K + ν ν ¯ . Our final sensitivity plots are shown for both $$ {\lambda}_{113}^{\prime \prime } $$ λ 113 ′ ′ versus the squark mass $$ {m}_{\tilde{q}} $$ m q ~ and $$ {\lambda}_{113}^{\prime \prime }/{m}_{\tilde{q}}^2 $$ λ 113 ′ ′ / m q ~ 2 versus the neutralino mass $$ {m}_{{\overset{\sim }{\chi}}_1^0} $$ m χ ~ 1 0 . We find that the search at Belle II could probe $$ {\lambda}_{113}^{\prime \prime }/{m}_{\tilde{q}}^2 $$ λ 113 ′ ′ / m q ~ 2 down to the order of 10−8 GeV−2 in the kinematically allowed $$ {m}_{{\overset{\sim }{\chi}}_1^0} $$ m χ ~ 1 0 range. We also obtain current limits on $$ {\lambda}_{123}^{\prime \prime } $$ λ 123 ′ ′ by recasting an existing search interpreted as $$ {B}^0\to {\Lambda}^0{\overset{\sim }{\chi}}_1^0 $$ B 0 → Λ 0 χ ~ 1 0 , and comment about searches for $$ {B}^{+}\to {\Sigma}^{+}{\overset{\sim }{\chi}}_1^0 $$ B + → Σ + χ ~ 1 0 , $$ {B}^0\to {\Sigma}^0{\chi}_1^0 $$ B 0 → Σ 0 χ 1 0 , $$ {B}^{+}\to {\Lambda}_c^{+}{\overset{\sim }{\chi}}_1^0 $$ B + → Λ c + χ ~ 1 0 , and $$ {B}^{+}\to {\Xi}_c^{+}{\overset{\sim }{\chi}}_1^0 $$ B + → Ξ c + χ ~ 1 0 . In closing, we briefly discuss potential searches at the LHCb and BESIII experiments.

show abstract

Proton decay matrix elements with domain-wall fermions

Cited by 102 publications

References 71 publications

Nucleon distribution amplitudes and proton decay matrix elements on the lattice

Nucleon distribution amplitudes and proton decay matrix elements on the lattice

Study of non-minimal SUSY SU(5) model with realistic fermion sectors

Probing R-parity violation in B-meson decays to a baryon and a light neutralino

Contact Info

Product

Resources

About