Forward doubly-virtual Compton scattering off the nucleon in chiral perturbation theory. II. Spin polarizabilities and moments of polarized structure functions

Alarcón, José Manuel; Hagelstein, Franziska; Lensky, Vadim; Pascalutsa, Vladimir

doi:10.1103/physrevd.102.114026

Cited by 21 publications

(51 citation statements)

References 80 publications

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“…of which we only consider the inelastic part d2 (Q 2 ) coming from the interval 0 ≤ x ≤ x π [114] since the elastic part is already taken into account. In terms of this polarizability and neglecting higher moments, we obtain for the contribution of twist-three and higher,…”

Section: Jhep10(2021)053mentioning

confidence: 99%

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Dispersion relation analysis of the radiative corrections to gA in the neutron β-decay

Seng

2021

J. High Energ. Phys.

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We present the first and complete dispersion relation analysis of the inner radiative corrections to the axial coupling constant gA in the neutron β-decay. Using experimental inputs from the elastic form factors and the spin-dependent structure function g1, we determine the contribution from the γW-box diagram to a precision better than 10−4. Our calculation indicates that the inner radiative corrections to the Fermi and the Gamow-Teller matrix element in the neutron β-decay are almost identical, i.e. the ratio λ = gA/gV is almost unrenormalized. With this result, we predict the bare axial coupling constant to be $$ {\overset{\circ }{g}}_A=-1.2754{(13)}_{\mathrm{exp}}{(2)}_{\mathrm{RC}} $$ g ∘ A = − 1.2754 13 exp 2 RC based on the PDG average λ = −1.2756(13).

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Section: Jhep10(2021)053mentioning

confidence: 99%

“…For numerical estimates, we rely on the recent analysis of generalized spin polarizabilities of the nucleon in baryon chiral effective theory [114]. We obtain, assigning a conservative 100% uncertainty, d < 2,tw3+ = 0.03(3) .…”

Section: Jhep10(2021)053mentioning

confidence: 99%

Dispersion relation analysis of the radiative corrections to gA in the neutron β-decay

Seng

2021

J. High Energ. Phys.

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“…• Finally, the g γ 2 contribution is split into two pieces, namely the twist-two and twistthree (and higher) contributions. The former is related to g γ 1 through the Wandzura-Wilczek relation [239], while the latter is related to the so-called nucleon color polarizability [240,241] calculated within the baryon chiral effective theory [242].…”

Section: A γ W : Dr Analysismentioning

confidence: 99%

Radiative Corrections to Semileptonic Beta Decays: Progress and Challenges

Seng

2021

Particles

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We review some recent progress in the theory of electroweak radiative corrections in semileptonic decay processes. The resurrection of the so-called Sirlin’s representation based on current algebra relations permits a clear separation between the perturbatively-calculable and incalculable pieces in the O(GFα) radiative corrections. The latter are expressed as compact hadronic matrix elements that allow systematic non-perturbative analysis such as dispersion relation and lattice QCD. This brings substantial improvements to the precision of the electroweak radiative corrections in semileptonic decays of pion, kaon, free neutron and JP=0+ nuclei that are important theory inputs in precision tests of the Standard Model. Unresolved issues and future prospects are discussed.

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“…To quantify the degree of agreement between our data and the recent χEFT predictions [36,37], we computed the χ 2 per degree of freedom between these predictions and our results. We find that the predictions in [36] agree with our results only at the lowest few Q 2 points, up to Q 2 = 0.024(0.014) GeV 2 for Γ 1 (I), if we require a χ 2 reduced < 2.…”

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confidence: 96%

“…corresponds to the electroproduction threshold W thr = M +m π = 1.073 GeV. Equation (3) defines the integral I 1 , which is related to the first polarized doubly-virtual Compton scattering (VVCS) amplitude that is calculable in the ν → 0 limit with lattice QCD or χEFT [3,4,[30][31][32][33][34][35][36][37][38][39]. The other prevailing generalization of the GDH integral is [40]:…”

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confidence: 99%