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The traditional Fermi function ansatz for nuclear beta decay describes enhanced perturbative effects in the limit of large nuclear charge $Z$ and/or small electron velocity $\beta$. We define and compute the quantum field theory object that…

High Energy Physics - Phenomenology · Physics 2025-08-19 Peter Vander Griend , Zehua Cao , Richard Hill , Ryan Plestid

We consider one loop QCD corrections and renormalization group running of the neutrinoless double beta decay amplitude focusing on the short-range part of the amplitude (without the light neutrino exchange) and find that these corrections…

High Energy Physics - Phenomenology · Physics 2015-06-17 Namit Mahajan

Control over quantum electrodynamics (QED) radiative corrections is critical for precise determination of neutrino oscillation probabilities from observed (anti)neutrino detection rates. It is particularly important to understand any…

High Energy Physics - Phenomenology · Physics 2022-11-23 Oleksandr Tomalak , Qing Chen , Richard J Hill , Kevin S McFarland , Clarence Wret

We investigate the factorization properties of the massive fermion form factor in QED, to next-to-leading power in the fermion mass, and up to two-loop order. For this purpose we define new jet functions that have multiple connections to…

High Energy Physics - Phenomenology · Physics 2025-03-17 Robin van Bijleveld , Eric Laenen , Coenraad Marinissen , Leonardo Vernazza , Guoxing Wang

QED corrections to the $g$ factor of Li-like and B-like ions in a wide range of nuclear charges are presented. Many-electron contributions as well as radiative effects on the one-loop level are calculated. Contributions resulting from the…

Atomic Physics · Physics 2020-07-15 H. Cakir , V. A. Yerokhin , N. S. Oreshkina , B. Sikora , I. I. Tupitsyn , C. H. Keitel , Z. Harman

The universal radiative corrections common to neutron and super-allowed nuclear beta decays (also known as ``inner'' corrections) are revisited in light of a recent dispersion relation study that found $+2.467(22)\%$, i.e.~about $2.4\sigma$…

High Energy Physics - Phenomenology · Physics 2019-10-30 Andrzej Czarnecki , William J. Marciano , Alberto Sirlin

Radiative corrections are essential for an accurate determination of $V_{ud}$ from superallowed $\beta$ decays. In view of recent progress in the single-nucleon sector, the uncertainty is dominated by the theoretical description of…

QED radiative corrections to polarized muon decay spectrum are considered. Leading and next--to--leading logarithmic approximations are used. Exponentiation of soft radiation is discussed. The present theoretical uncertainty of the spectrum…

High Energy Physics - Phenomenology · Physics 2009-11-07 Andrej Arbuzov

Applying the dispersion approach we compute perturbative QCD corrections to the power suppressed soft contribution of $B \to \gamma \ell \nu$ at leading twist. QCD factorization for the $B \to \gamma^{\ast}$ form factors is demonstrated…

High Energy Physics - Phenomenology · Physics 2016-11-03 Yu-Ming Wang

We calculate and resum a perturbative expansion of nuclear enhanced power corrections to the structure functions measured in deeply inelastic scattering of leptons on a nuclear target. Our results for the Bjorken $x$-, $Q^2$- and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jianwei Qiu , Ivan Vitev

The Fermi function $F(Z,E)$ accounts for QED corrections to beta decays that are enhanced at either small electron velocity $\beta$ or large nuclear charge $Z$. For precision applications, the Fermi function must be combined with other…

High Energy Physics - Phenomenology · Physics 2024-09-04 Richard J. Hill , Ryan Plestid

We calculate the contributions of weak magnetism and proton recoil of order O(E^2_e/m^2_N)~10^{-5}, i.e. to next-to-next-to-leading order in the large nucleon mass expansion, to the neutron lifetime and correlation coefficients of the…

High Energy Physics - Phenomenology · Physics 2021-07-13 A. N. Ivanov , R. Höllwieser , N. I. Troitskaya , M. Wellenzohn , Ya. A. Berdnikov

We show that the QCD factorization approach for $B$-meson decays to charmless hadronic two-body final states can be extended to include electromagnetic corrections. The presence of electrically charged final-state particles complicates the…

High Energy Physics - Phenomenology · Physics 2020-12-02 Martin Beneke , Philipp Böer , Jan-Niklas Toelstede , K. Keri Vos

Two-loop QED corrections with closed fermion loops are calculated for the 1s bound-electron g factor. Calculations are performed to all orders in the nuclear binding strength parameter Z\alpha (where Z is the nuclear charge and \alpha is…

Atomic Physics · Physics 2015-06-16 V. A. Yerokhin , Z. Harman

We evaluate long-distance electromagnetic (QED) contributions to $\bar{B}{}^0 \to D^+ \tau^{-} \bar{\nu}_{\tau}$ and $B^- \to D^0 \tau^{-} \bar{\nu}_{\tau}$ relative to $\bar{B}{}^0 \to D^+ \mu^{-} \bar{\nu}_{\mu}$ and $B^- \to D^0 \mu^{-}…

High Energy Physics - Phenomenology · Physics 2018-07-03 Stefan de Boer , Teppei Kitahara , Ivan Nisandzic

The accuracy of $V_{ud}$ determinations from superallowed $\beta$ decays critically hinges on control over radiative corrections. Recently, substantial progress has been made on the single-nucleon, universal corrections, while…

High Energy Physics - Phenomenology · Physics 2024-11-20 Vincenzo Cirigliano , Wouter Dekens , Jordy de Vries , Stefano Gandolfi , Martin Hoferichter , Emanuele Mereghetti

In the framework of the Standard Model (SM) a theoretical description of the neutron beta decay is given at the level of 10^{-5}. The neutron lifetime and correlation coefficients of the neutron beta decay for a polarized neutron, a…

High Energy Physics - Phenomenology · Physics 2021-09-08 A. N. Ivanov , R. Höllwieser , N. I. Troitskaya , M. Wellenzohn , Ya. A. Berdnkov

A systematic investigation of the nuclear-polarization effects in one- and few-electron heavy ions is presented. The nuclear-polarization corrections in the zeroth and first orders in $1/Z$ are evaluated to the binding energies, the…

Atomic Physics · Physics 2015-04-23 Andrey V. Volotka , Günter Plunien

Motivated by a dynamical enhancement of the electromagnetic corrections by a power of $\Lambda_{\mathrm{QCD}}/m_b$ in $B_{d,s}\, \to\, \mu^+\, \mu^-$ at next-to-leading order (NLO), we extend the QED factorization effects on the leptonic…

High Energy Physics - Phenomenology · Physics 2023-10-17 Yong-Kang Huang , Yue-Long Shen , Xue-Chen Zhao , Si-Hong Zhou

We study power corrections to the differential thrust, heavy mass and related event shape distributions in $e^+e^-$-annihilation, whose values, $e$, are proportional to jet masses in the two-jet limit, $e\to 0$. The factorization properties…

High Energy Physics - Phenomenology · Physics 2010-04-06 G. P. Korchemsky , G. Sterman
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