Novel Soft-Pion Theorem for Long-Range Nuclear Parity Violation

Feng, Xu; Guo, Feng-Kun; Seng, Chien-Yeah

doi:10.1103/physrevlett.120.181801

Cited by 10 publications

(18 citation statements)

References 74 publications

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“…This is the most important observation in Ref. [34]. It shows that the PCAC relation does not simply serve for an illustration purpose but is also quantitatively accurate.…”

Section: B Chiral Perturbation Theory Analysismentioning

confidence: 72%

“…The originality of Ref. [34] is really not in its application of PCAC, but rather in its quantitative analysis of the higher-order corrections which determines the degree of accuracy of the PCAC result, as we shall describe later.…”

Section: A Pcac Relationmentioning

confidence: 99%

“…This idea was born of the in-depth studies of the P, T-odd pion-nucleon couplingḡ i π [41][42][43][44][45][46], and Ref. [34] constitutes its first implementation in HPV. Below we shall describe the method in detail.…”

Section: B Chiral Perturbation Theory Analysismentioning

confidence: 99%

“…We first introduce the theoretical basis of the ∆I = 1 HPV, including the underlying four-quark operators, their Wilson coefficients and the rigorous definition of the coupling h 1 π as a soft-pion matrix element. Next, we review the soft-pion theorem derived in our previous work [34] and present some of the technical details not included in that Letter. Then, we begin the analysis of contraction diagrams by rigorously defining them in terms of three-point correlation functions.…”

Section: Introductionmentioning

confidence: 99%

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Effective field theory in the study of long range nuclear parity violation on lattice

Guo

Seng

2019

Eur. Phys. J. C

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A non-zero signal A np γ = (−3.0 ± 1.4 ± 0.2) × 10 −8 of the gamma-ray asymmetry in the neutronproton capture was recently reported by the NPDGamma Collaboration which provides the first determination of the ∆I = 1 parity-odd pion-nucleon coupling constant h 1 π = (2.6±1.2±0.2)×10 −7 .The ability to reproduce this value from first principles serves as a direct test of our current understanding of the interplay between the strong and weak interaction at low energy. To motivate new lattice studies of h 1 π , we review the current status of the theoretical understanding of this coupling, which includes our recent work that relates it to a nucleon mass-splitting by a soft-pion theorem. We further investigate the possibility of calculating the mass-splitting on the lattice by providing effective field theory parameterizations of all the involved quark contraction diagrams.We show that the lattice calculations of the easier connected diagrams will provide information of the chiral logarithms in the much harder quark loop diagrams and thus help in the chiral extrapolation of the latter.

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“…This is the most important observation in Ref. [34]. It shows that the PCAC relation does not simply serve for an illustration purpose but is also quantitatively accurate.…”

Section: B Chiral Perturbation Theory Analysismentioning

confidence: 72%

Section: A Pcac Relationmentioning

confidence: 99%

Section: B Chiral Perturbation Theory Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effective field theory in the study of long range nuclear parity violation on lattice

Guo

Seng

2019

Eur. Phys. J. C

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“…Consequently, the determination of the logarithmic renormalisation parameters in a mass-independent renormalisation scheme is unaffected by the power subtractions and our results for the logarithmic renormalisation parameters also apply in this case. Other interesting applications of the same four-fermion operators can be found in nuclear parity violation processes (for instance see [10,11] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Non-perturbative renormalisation and running of BSM four-quark operators in $$N_\mathrm {\scriptstyle f}=2$$ N f = 2 QCD

et al. 2018

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We perform a non-perturbative study of the scaledependent renormalisation factors of a complete set of dimension-six four-fermion operators without power subtractions. The renormalisation-group (RG) running is determined in the continuum limit for a specific Schrödinger Functional (SF) renormalisation scheme in the framework of lattice QCD with two dynamical flavours (N f = 2). The theory is regularised on a lattice with a plaquette Wilson action and O(a)-improved Wilson fermions. For one of these operators, the computation had been performed in Dimopoulos et al. (JHEP 0805, 065 (2008). arXiv:0712.2429); the present work completes the study for the rest of the operator basis, on the same simulations (configuration ensembles). The related weak matrix elements arise in several operator product expansions; in F = 2 transitions they contain the QCD long-distance effects, including contributions from beyond-Standard Model (BSM) processes. Some of these operators mix under renormalisation and their RG-running is governed by anomalous dimension matrices. In Papinutto et al. (Eur Phys J C 77(6), 376 (2017). arXiv:1612.06461) the RG formalism for the operator basis has been worked out in full generality and the anomalous dimension matrix has been calculated in NLO perturbation theory. Here the discussion is extended to the matrix step-scaling functions, which are used in finite-size recursive techniques. We rely on these matrix-SSFs to obtain non-perturbative estimates of the operator anomalous dimensions for scales ranging from O(QCD) to O(M W).

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Experimental upper bound and theoretical expectations for parity-violating neutron spin rotation in He4

Swanson

Heckel²,

Bass

et al. 2019

Phys. Rev. C

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Neutron spin rotation is expected from quark-quark weak interactions in the Standard Model, which induce weak interactions among nucleons that violate parity. We present the results from an experiment searching for the effect of parity violation via the spin rotation of polarized neutrons in a liquid 4 He medium. The value for the neutron spin rotation angle per unit length in 4 He, dφ/dz = (+2.1 ± 8.3(stat.) +2.9 −0.2 (sys.)) × 10 −7 rad/m, is consistent with zero. The result agrees with the best current theoretical estimates of the size of nucleon-nucleon weak amplitudes from other experiments and with the expectations from recent theoretical approaches to weak nucleon-nucleon interactions. In this paper we review the theoretical status of parity violation in the n+ 4 He system and discuss details of the data analysis leading to the quoted result. Analysis tools are presented that quantify systematic uncertainties in this measurement and that are expected to be essential for future measurements.

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Novel Soft-Pion Theorem for Long-Range Nuclear Parity Violation

Cited by 10 publications

References 74 publications

Effective field theory in the study of long range nuclear parity violation on lattice

Effective field theory in the study of long range nuclear parity violation on lattice

Non-perturbative renormalisation and running of BSM four-quark operators in $$N_\mathrm {\scriptstyle f}=2$$ N f = 2 QCD

Experimental upper bound and theoretical expectations for parity-violating neutron spin rotation in He4

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