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Hoferichter M. Interplay of nuclear physics, effective field theories, phenomenology, and lattice QCD in neutrino physics. EPJ WEB OF CONFERENCES 2022. [DOI: 10.1051/epjconf/202227401010] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
Experiments in neutrino physics cover a wide range—from deep inelastic scattering, over long base-line oscillation experiments and low-energy coherent neutrino–nucleus scattering (CEνNS), to searches for neutrinoless double β decay (0νββ)—yet in all cases a key aspect in interpreting the results concerns understanding neutrino–nucleus interactions. If the neutrino energy is sufficiently low, the required matrix elements can be constrained in a systematic way by the interplay of effective field theories, phenomenology, and lattice QCD. In these proceedings, we illustrate this strategy focusing on the CEνNS and 0νββ processes.
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Cirigliano V, Dekens W, de Vries J, Hoferichter M, Mereghetti E. Toward Complete Leading-Order Predictions for Neutrinoless Double β Decay. PHYSICAL REVIEW LETTERS 2021; 126:172002. [PMID: 33988430 DOI: 10.1103/physrevlett.126.172002] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/23/2020] [Revised: 03/11/2021] [Accepted: 03/12/2021] [Indexed: 06/12/2023]
Abstract
The amplitude for the neutrinoless double β (0νββ) decay of the two-neutron system nn→ppe^{-}e^{-} constitutes a key building block for nuclear-structure calculations of heavy nuclei employed in large-scale 0νββ searches. Assuming that the 0νββ process is mediated by a light-Majorana-neutrino exchange, a systematic analysis in chiral effective field theory shows that already at leading order a contact operator is required to ensure renormalizability. In this Letter, we develop a method to estimate the numerical value of its coefficient (in analogy to the Cottingham formula for electromagnetic contributions to hadron masses) and validate the result by reproducing the charge-independence-breaking contribution to the nucleon-nucleon scattering lengths. Our central result, while derived in dimensional regularization, is given in terms of the renormalized amplitude A_{ν}(|p|,|p^{'}|), matching to which will allow one to determine the contact-term contribution in regularization schemes employed in nuclear-structure calculations. Our results thus greatly reduce a crucial uncertainty in the interpretation of searches for 0νββ decay.
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Affiliation(s)
- Vincenzo Cirigliano
- Los Alamos National Laboratory, Theoretical Division, Los Alamos, New Mexico 87545, USA
| | - Wouter Dekens
- Department of Physics, University of California at San Diego, La Jolla, California 92093, USA
| | - Jordy de Vries
- Department of Physics, Amherst Center for Fundamental Interactions, University of Massachusetts, Amherst, Massachusetts 01003, USA
- RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973-5000, USA
- Institute for Theoretical Physics Amsterdam and Delta Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
- Nikhef, Theory Group, Science Park 105, 1098 XG, Amsterdam, The Netherlands
| | - Martin Hoferichter
- Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, 3012 Bern, Switzerland
| | - Emanuele Mereghetti
- Los Alamos National Laboratory, Theoretical Division, Los Alamos, New Mexico 87545, USA
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Li G, Ramsey-Musolf MJ, Vasquez JC. Left-Right Symmetry and Leading Contributions to Neutrinoless Double Beta Decay. PHYSICAL REVIEW LETTERS 2021; 126:151801. [PMID: 33929232 DOI: 10.1103/physrevlett.126.151801] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/21/2020] [Accepted: 03/08/2021] [Indexed: 06/12/2023]
Abstract
We study the impact of the mixing (LR mixing) between the standard model W boson and its hypothetical, heavier right-handed parter W_{R} on the neutrinoless double beta decay (0νββ decay) rate. Our study is done in the minimal left-right symmetric model assuming a type-II dominance scenario with charge conjugation as the left-right symmetry. We then show that the 0νββ decay rate may be dominated by the contribution proportional to this LR mixing, which at the hadronic level induces the leading-order contribution to the interaction between two pions and two charged leptons. The resulting long-range pion exchange contribution can significantly enhance the decay rate compared to previously considered short-range contributions. Finally, we find that even if future cosmological experiments rule out the inverted hierarchy for neutrino masses, there are still good prospects for a positive signal in the next generation of 0νββ decay experiments.
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Affiliation(s)
- Gang Li
- Amherst Center for Fundamental Interactions, Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
| | - Michael J Ramsey-Musolf
- Amherst Center for Fundamental Interactions, Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
- Tsung-Dao Lee Institute and School of Physics and Astronomy, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, China
- Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125, USA
| | - Juan Carlos Vasquez
- Amherst Center for Fundamental Interactions, Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
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Davoudi Z, Kadam SV. Path from Lattice QCD to the Short-Distance Contribution to 0νββ Decay with a Light Majorana Neutrino. PHYSICAL REVIEW LETTERS 2021; 126:152003. [PMID: 33929257 DOI: 10.1103/physrevlett.126.152003] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/17/2020] [Accepted: 03/01/2021] [Indexed: 06/12/2023]
Abstract
Neutrinoless double-β (0νββ) decay of certain atomic isotopes, if observed, will have significant implications for physics of neutrinos and models of physics beyond the standard model. In the simplest scenario, if the mass of the light neutrino of the standard model has a Majorana component, it can mediate the decay. Systematic theoretical studies of the decay rate in this scenario, through effective field theories matched to ab initio nuclear many-body calculations, are needed to draw conclusions about the hierarchy of neutrino masses, and to plan the design of future experiments. However, a recently identified short-distance contribution at leading order in the effective field theory amplitude of the subprocess nn→pp(ee) remains unknown, and only lattice quantum chromodynamics (QCD) can directly and reliably determine the associated low-energy constant. While the numerical computations of the correlation function for this process are underway with lattice QCD, the connection to the physical amplitude, and hence this short-distance contribution, is missing. A complete framework that enables this complex matching is developed in this Letter. The complications arising from the Euclidean and finite-volume nature of the corresponding correlation function are fully resolved, and the value of the formalism is demonstrated through a simple example. The result of this work, therefore, fills the gap between first-principles studies of the nn→pp(ee) amplitude from lattice QCD and those from effective field theory, and can be readily employed in the ongoing lattice-QCD studies of this process.
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Affiliation(s)
- Zohreh Davoudi
- Maryland Center for Fundamental Physics and Department of Physics, University of Maryland, College Park, Maryland 20742, USA
- RIKEN Center for Accelerator-based Sciences, Wako 351-0198, Japan
| | - Saurabh V Kadam
- Maryland Center for Fundamental Physics and Department of Physics, University of Maryland, College Park, Maryland 20742, USA
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Feng X, Gorchtein M, Jin LC, Ma PX, Seng CY. First-Principles Calculation of Electroweak Box Diagrams from Lattice QCD. PHYSICAL REVIEW LETTERS 2020; 124:192002. [PMID: 32469584 DOI: 10.1103/physrevlett.124.192002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/25/2020] [Accepted: 04/30/2020] [Indexed: 06/11/2023]
Abstract
We present the first realistic lattice QCD calculation of the γW-box diagrams relevant for beta decays. The nonperturbative low-momentum integral of the γW loop is calculated using a lattice QCD simulation, complemented by the perturbative QCD result at high momenta. Using the pion semileptonic decay as an example, we demonstrate the feasibility of the method. By using domain wall fermions at the physical pion mass with multiple lattice spacings and volumes, we obtain the axial γW-box correction to the semileptonic pion decay, □_{γW}^{VA}|_{π}=2.830(11)_{stat}(26)_{syst}×10^{-3}, with the total uncertainty controlled at the level of ∼1%. This study sheds light on the first-principles computation of the γW-box correction to the neutron decay, which plays a decisive role in the determination of |V_{ud}|.
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Affiliation(s)
- Xu Feng
- School of Physics, Peking University, Beijing 100871, China
- Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
- Center for High Energy Physics, Peking University, Beijing 100871, China
- State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
| | - Mikhail Gorchtein
- Helmholtz Institute Mainz, Mainz 55128, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt 55128, Germany
- Johannes Gutenberg University, Mainz 55128, Germany
| | - Lu-Chang Jin
- Department of Physics, University of Connecticut, Storrs, Connecticut 06269, USA
- RIKEN-BNL Research Center, Brookhaven National Laboratory, Building 510, Upton, New York 11973, USA
| | - Peng-Xiang Ma
- School of Physics, Peking University, Beijing 100871, China
| | - Chien-Yeah Seng
- Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, Germany
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Feng X, Jin LC, Tuo XY, Xia SC. Light-Neutrino Exchange and Long-Distance Contributions to 0ν2β Decays: An Exploratory Study on ππ→ee. PHYSICAL REVIEW LETTERS 2019; 122:022001. [PMID: 30720288 DOI: 10.1103/physrevlett.122.022001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/01/2018] [Indexed: 06/09/2023]
Abstract
We present an exploratory lattice QCD calculation of the neutrinoless double beta decay ππ→ee. Under the mechanism of light-neutrino exchange, the decay amplitude involves significant long-distance contributions. The calculation reported here, with pion masses m_{π}=420 and 140 MeV, demonstrates that the decay amplitude can be computed from first principles using lattice methods. At unphysical and physical pion masses, we obtain that amplitudes are 24% and 9% smaller than the predication from leading order chiral perturbation theory. Our findings provide the lattice QCD inputs and constraints for effective field theory. A follow-on calculation with fully controlled systematic errors will be possible with adequate computational resources.
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Affiliation(s)
- Xu Feng
- School of Physics, Peking University, Beijing 100871, China
- Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
- Center for High Energy Physics, Peking University, Beijing 100871, China
- State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
| | - Lu-Chang Jin
- Department of Physics, University of Connecticut, Storrs, Connecticut 06269, USA
- RIKEN-BNL Research Center, Brookhaven National Laboratory, Building 510, Upton, New York 11973, USA
| | - Xin-Yu Tuo
- School of Physics, Peking University, Beijing 100871, China
| | - Shi-Cheng Xia
- School of Physics, Peking University, Beijing 100871, China
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