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We present the first ab initio calculations of neutrinoless double beta decay matrix elements in $A=6$-$12$ nuclei using Variational Monte Carlo wave functions obtained from the Argonne $v_{18}$ two-nucleon potential and Illinois-7…

Nuclear Theory · Physics 2018-01-24 S. Pastore , J. Carlson , V. Cirigliano , W. Dekens , E. Mereghetti , R. B. Wiringa

We analyze neutrinoless double beta decay ($0\nu\beta\beta$) within the framework of the Standard Model Effective Field Theory. Apart from the dimension-five Weinberg operator, the first contributions appear at dimension seven. We classify…

High Energy Physics - Phenomenology · Physics 2017-12-29 V. Cirigliano , W. Dekens , J. de Vries , M. L. Graesser , E. Mereghetti

We study the three-nucleon system at next-to-next-to-next-to-leading order ($\mathrm{N^3LO}$) in the framework of chiral effective field theory (EFT) on the lattice. Our calculations do not rely on a perturbative treatment of subleading…

Nuclear Theory · Physics 2024-12-02 Lukas Bovermann , Evgeny Epelbaum , Hermann Krebs , Dean Lee

TeV-scale lepton number violation can affect neutrinoless double beta decay through dimension-9 $\Delta L= \Delta I = 2$ operators involving two electrons and four quarks. Since the dominant effects within a nucleus are expected to arise…

High Energy Physics - Phenomenology · Physics 2017-04-19 V. Cirigliano , W. Dekens , M. Graesser , E. Mereghetti

We investigate two-neutrino double beta decay ($2\nu\beta\beta$) in chiral effective field theory. We find contributions from weak magnetism and double-weak pion-exchange at next-to-leading-order in the chiral power counting. We discuss the…

High Energy Physics - Phenomenology · Physics 2024-12-19 Saad el Morabit , Ryan Bouabid , Vincenzo Cirigliano , Jordy de Vries , Lukáš Gráf , Emanuele Mereghetti

We recently developed a Bayesian framework for parameter estimation in general effective field theories. Here we present selected results from using that framework to estimate parameters with a nucleon-nucleon (NN) potential derived using…

Nuclear Theory · Physics 2019-03-15 S. Wesolowski , R. J. Furnstahl , J. A. Melendez , D. R. Phillips

We evaluate the Fermi and Gamow-Teller (GT) matrix elements in tritium $\beta$-decay by including in the charge-changing weak current the corrections up to one loop recently derived in nuclear chiral effective field theory ($\chi$ EFT). The…

Nuclear Theory · Physics 2017-01-06 A. Baroni , L. Girlanda , A. Kievsky , L. E. Marcucci , R. Schiavilla , M. Viviani

We present a master formula describing the neutrinoless-double-beta decay ($0\nu\beta\beta$) rate induced by lepton-number-violating (LNV) operators up to dimension nine in the Standard Model Effective Field Theory. We provide an end-to-end…

High Energy Physics - Phenomenology · Physics 2019-01-24 V. Cirigliano , W. Dekens , J. de Vries , M. L. Graesser , E. Mereghetti

Recent calculations of EDMs of light nuclei in the framework of chiral effective field theory are presented. We argue that they can be written in terms of the leading six low-energy constants encoding CP-violating physics. EDMs of the…

Nuclear Theory · Physics 2015-06-11 Renato Higa

The objectives of the present work are twofold. The first is to address and resolve some of the differences present in independent, chiral-effective-field-theory (\chiEFT) derivations up to one loop, recently appeared in the literature, of…

Nuclear Theory · Physics 2015-06-12 M. Piarulli , L. Girlanda , L. E. Marcucci , S. Pastore , R. Schiavilla , M. Viviani

We apply improved nucleon-nucleon potentials up to fifth order in chiral effective field theory, along with a new analysis of the theoretical truncation errors, to study nucleon-deuteron (Nd) scattering and selected low-energy observables…

Neutrinoless double beta ($0\nu\beta\beta$) decay can in general produce electrons of either chirality, in contrast with the minimal Standard Model (SM) extension with only the addition of the Weinberg operator, which predicts two…

High Energy Physics - Phenomenology · Physics 2015-06-04 Francisco del Aguila , Alberto Aparici , Subhaditya Bhattacharya , Arcadi Santamaria , Jose Wudka

We examine the leading effects of two-body weak currents from chiral effective field theory on the matrix elements governing neutrinoless double-beta decay. In the closure approximation these effects are generated by the product of a…

Nuclear Theory · Physics 2018-09-12 Long-Jun Wang , Jonathan Engel , Jiang Ming Yao

We discuss the contributions of lepton-number-violating sources to neutrinoless double beta decay ($0\nu\beta\beta$). Assuming that these sources arise at scales well above the electroweak scale, they can be described within an effective…

High Energy Physics - Phenomenology · Physics 2019-06-13 W. Dekens

We present the first chiral effective theory derivation of the neutrinoless double beta-decay $nn\rightarrow pp$ potential induced by light Majorana neutrino exchange. The effective-field-theory framework has allowed us to identify and…

High Energy Physics - Phenomenology · Physics 2019-05-22 V. Cirigliano , W. Dekens , E. Mereghetti , A. Walker-Loud

We sample the posterior probability distributions of the low-energy constants (LECs) in $\Delta$-full chiral effective field theory ($\chi$EFT) up to third order. We use eigenvector continuation for fast and accurate emulation of the…

Nuclear Theory · Physics 2024-07-29 Isak Svensson , Andreas Ekström , Christian Forssén

The nuclear saturation mechanism is discussed in terms of two-nucleon and three-nucleon interactions in chiral effective field theory (Ch-EFT), using the framework of lowest-order Brueckner theory. After the Coester band, which is observed…

Nuclear Theory · Physics 2015-12-23 M. Kohno

We continue our endeavor to investigate lepton number violating (LNV) processes at low energy in the framework of effective field theory (EFT). In this work we study the LNV tau decays $\tau^+\rightarrow \ell^-P_i^{+}P_j^{+}$, where…

High Energy Physics - Phenomenology · Physics 2021-08-02 Yi Liao , Xiao-Dong Ma , Hao-Lin Wang

Accurate nuclear matrix elements (NMEs) for neutrinoless double beta decays of candidate nuclei are important for the design and interpretation of future experiments. Significant progress has been made in the modeling of these NMEs from…

Nuclear Theory · Physics 2021-01-12 J. M. Yao

In the low-energy region far below the chiral symmetry breaking scale (which is of the order of 1 GeV) chiral perturbation theory provides a model-independent approach for quantitative description of nuclear processes. In the two- and…

High Energy Physics - Lattice · Physics 2016-08-14 Hermann Krebs , Bugra Borasoy , Evgeny Epelbaum , Dean Lee , Ulf-G. Meißner
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