Neutrinoless double-β decay in effective field theory: The light-Majorana neutrino-exchange mechanism

被引：48

作者：

Cirigliano, Vincenzo ^{[1
]}

Dekens, Wouter ^{[1
,2
]}

Mereghetti, Emanuele ^{[1
]}

Walker-Loud, Andre ^{[3
]}

机构：

[1] Los Alamos Natl Lab, Theoret Div, Los Alamos, NM 87545 USA

[2] Los Alamos Res Pk, New Mexico Consortium, Los Alamos, NM 87544 USA

[3] Lawrence Berkeley Natl Lab, Nucl Sci Div, Berkeley, CA 94720 USA

来源：

PHYSICAL REVIEW C | 2018年 / 97卷 / 06期

关键词：

CHIRAL PERTURBATION-THEORY; LOW-ENERGY CONSTANTS; SHELL-MODEL; LATTICE THEORIES; MATRIX-ELEMENTS; CONTINUUM-LIMIT; LAGRANGIANS; SEARCH; NRQCD; MASS;

D O I：

10.1103/PhysRevC.97.065501

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We present the first chiral effective theory derivation of the neutrinoless double-beta decay nn -> pp potential induced by light Majorana neutrino exchange. The effective-field-theory framework has allowed us to identify and parametrize short- and long-range contributions previously missed in the literature. These contributions cannot be absorbed into parametrizations of the single-nucleon form factors. Starting from the quark and gluon level, we perform the matching onto chiral effective field theory and subsequently onto the nuclear potential. To derive the nuclear potential mediating neutrinoless double-beta decay, the hard, soft, and potential neutrino modes must be integrated out. This is performed through next-to-next-to-leading order in the chiral power counting, in both the Weinberg and pionless schemes. At next-to-next-to-leading order, the amplitude receives additional contributions from the exchange of ultrasoft neutrinos, which can be expressed in terms of nuclear matrix elements of the weak current and excitation energies of the intermediate nucleus. These quantities also control the two-neutrino double-beta decay amplitude. Finally, we outline strategies to determine the low-energy constants that appear in the potentials, by relating them to electromagnetic couplings and/or by matching to lattice QCD calculations.

引用

页数：13

共 92 条

[1] Search for Neutrinoless Double-ß Decay in 76Ge with the MAJORANA DEMONSTRATOR [J].

Aalseth, C. E. ;

Abgrall, N. ;

Aguayo, E. ;

Alvis, S. I. ;

Amman, M. ;

Arnquist, I. J. ;

Avignone, F. T., III ;

Back, H. O. ;

Barabash, A. S. ;

Barbeau, P. S. ;

Barton, C. J. ;

Barton, P. J. ;

Bertrand, F. E. ;

Bode, T. ;

Bos, B. ;

Boswell, M. ;

Bradley, A. W. ;

Brodzinski, R. L. ;

Brudanin, V. ;

Busch, M. ;

Buuck, M. ;

Caldwell, A. S. ;

Caldwell, T. S. ;

Chan, Y-D. ;

Christofferson, C. D. ;

Chu, P. -H. ;

Collar, J. I. ;

Combs, D. C. ;

Cooper, R. J. ;

Cuesta, C. ;

Detwiler, J. A. ;

Doe, P. J. ;

Dunmore, J. A. ;

Efremenko, Yu. ;

Ejiri, H. ;

Elliott, S. R. ;

Fast, J. E. ;

Finnerty, P. ;

Fraenkle, F. M. ;

Fu, Z. ;

Fujikawa, B. K. ;

Fuller, E. ;

Galindo-Uribarri, A. ;

Gehman, V. M. ;

Gilliss, T. ;

Giovanetti, G. K. ;

Goett, J. ;

Green, M. P. ;

Gruszko, J. ;

Guinn, I. S. .

PHYSICAL REVIEW LETTERS, 2018, 120 (13)

[2] Results on Neutrinoless Double-β Decay of 76Ge from Phase I of the GERDA Experiment [J].

Agostini, M. ;

Allardt, M. ;

Andreotti, E. ;

Bakalyarov, A. M. ;

Balata, M. ;

Barabanov, I. ;

Heider, M. Barnabe ;

Barros, N. ;

Baudis, L. ;

Bauer, C. ;

Becerici-Schmidt, N. ;

Bellotti, E. ;

Belogurov, S. ;

Belyaev, S. T. ;

Benato, G. ;

Bettini, A. ;

Bezrukov, L. ;

Bode, T. ;

Brudanin, V. ;

Brugnera, R. ;

Budjas, D. ;

Caldwell, A. ;

Cattadori, C. ;

Chernogorov, A. ;

Cossavella, F. ;

Demidova, E. V. ;

Domula, A. ;

Egorov, V. ;

Falkenstein, R. ;

Ferella, A. ;

Freund, K. ;

Frodyma, N. ;

Gangapshev, A. ;

Garfagnini, A. ;

Gotti, C. ;

Grabmayr, P. ;

Gurentsov, V. ;

Gusev, K. ;

Guthikonda, K. K. ;

Hampel, W. ;

Hegai, A. ;

Heisel, M. ;

Hemmer, S. ;

Heusser, G. ;

Hofmann, W. ;

Hult, M. ;

Inzhechik, L. V. ;

Ioannucci, L. ;

Csathy, J. Janicsko ;

Jochum, J. .

PHYSICAL REVIEW LETTERS, 2013, 111 (12)

[3] LArGe R&D for active background suppression in GERDA [J].

Agostini, M. ;

Barnabe-Heider, M. ;

Budjas, D. ;

Cattadori, C. ;

D'Andragora, A. ;

Gangapshev, A. ;

Gusev, K. ;

Heisel, M. ;

Junker, M. ;

Klimenko, A. ;

Schoenert, S. ;

Smolnikov, A. ;

Zuzel, G. .

12TH INTERNATIONAL CONFERENCE ON TOPICS IN ASTROPARTICLE AND UNDERGROUND PHYSICS (TAUP 2011), PTS 1-6, 2012, 375

[4] Search for Majorana neutrinos with the first two years of EXO-200 data [J].

Albert, J. B. ;

Auty, D. J. ;

Barbeau, P. S. ;

Beauchamp, E. ;

Beck, D. ;

Belov, V. ;

Benitez-Medina, C. ;

Bonatt, J. ;

Breidenbach, M. ;

Brunner, T. ;

Burenkov, A. ;

Cao, G. F. ;

Chambers, C. ;

Chaves, J. ;

Cleveland, B. ;

Coon, M. ;

Craycraft, A. ;

Daniels, T. ;

Danilov, M. ;

Daugherty, S. J. ;

Davis, C. G. ;

Davis, J. ;

Devoe, R. ;

Delaquis, S. ;

Didberidze, T. ;

Dolgolenko, A. ;

Dolinski, M. J. ;

Dunford, M. ;

Fairbank, W., Jr. ;

Farine, J. ;

Feldmeier, W. ;

Fierlinger, P. ;

Fudenberg, D. ;

Giroux, G. ;

Gornea, R. ;

Graham, K. ;

Gratta, G. ;

Hall, C. ;

Herrin, S. ;

Hughes, M. ;

Jewell, M. J. ;

Jiang, X. S. ;

Johnson, A. ;

Johnson, T. N. ;

Johnston, S. ;

Karelin, A. ;

Kaufman, L. J. ;

Killick, R. ;

Koffas, T. ;

Kravitz, S. .

NATURE, 2014, 510 (7504) :229-234

[5] Search for Neutrinoless Double-Beta Decay of 130Te with CUORE-0 [J].

Alfonso, K. ;

Artusa, D. R. ;

Avignone, F. T., III ;

Azzolini, O. ;

Balata, M. ;

Banks, T. I. ;

Bari, G. ;

Beeman, J. W. ;

Bellini, F. ;

Bersani, A. ;

Biassoni, M. ;

Brofferio, C. ;

Bucci, C. ;

Caminata, A. ;

Canonica, L. ;

Cao, X. G. ;

Capelli, S. ;

Cappelli, L. ;

Carbone, L. ;

Cardani, L. ;

Casali, N. ;

Cassina, L. ;

Chiesa, D. ;

Chott, N. ;

Clemenza, M. ;

Copello, S. ;

Cosmelli, C. ;

Cremonesi, O. ;

Creswick, R. J. ;

Cushman, J. S. ;

Dafinei, I. ;

Dally, A. ;

Dell'Oro, S. ;

Deninno, M. M. ;

Di Domizio, S. ;

Di Vacri, M. L. ;

Drobizhev, A. ;

Ejzak, L. ;

Fang, D. Q. ;

Faverzani, M. ;

Fernandes, G. ;

Ferri, E. ;

Ferroni, F. ;

Fiorini, E. ;

Freedman, S. J. ;

Fujikawa, B. K. ;

Giachero, A. ;

Gironi, L. ;

Giuliani, A. ;

Gorla, P. .

PHYSICAL REVIEW LETTERS, 2015, 115 (10)

[6]

Ananthanarayan B, 2004, J HIGH ENERGY PHYS

[7] Current Status and Future Prospects of the SNO plus Experiment [J].

Andringa, S. ;

Arushanova, E. ;

Asahi, S. ;

Askins, M. ;

Auty, D. J. ;

Back, A. R. ;

Barnard, Z. ;

Barros, N. ;

Beier, E. W. ;

Bialek, A. ;

Biller, S. D. ;

Blucher, E. ;

Bonventre, R. ;

Braid, D. ;

Caden, E. ;

Callaghan, E. ;

Caravaca, J. ;

Carvalho, J. ;

Cavalli, L. ;

Chauhan, D. ;

Chen, M. ;

Chkvorets, O. ;

Clark, K. ;

Cleveland, B. ;

Coulter, I. T. ;

Cressy, D. ;

Dai, X. ;

Darrach, C. ;

Davis-Purcell, B. ;

Deen, R. ;

Depatie, M. M. ;

Descamps, F. ;

Di Lodovico, F. ;

Duhaime, N. ;

Duncan, F. ;

Dunger, J. ;

Falk, E. ;

Fatemighomi, N. ;

Ford, R. ;

Gorel, P. ;

Grant, C. ;

Grullon, S. ;

Guillian, E. ;

Hallin, A. L. ;

Hallman, D. ;

Hans, S. ;

Hartnell, J. ;

Harvey, P. ;

Hedayatipour, M. ;

Heintzelman, W. J. .

ADVANCES IN HIGH ENERGY PHYSICS, 2016, 2016

[8]

[Anonymous], 1988, HEALTH PHYS, V54, P575, DOI 10.1021/ic00289a033

[9]

[Anonymous], 2017, INT172A

[10] Classification of effective neutrino mass operators [J].

Babu, KS ;

Leung, CN .

NUCLEAR PHYSICS B, 2001, 619 (1-3) :667-689

← 1 2 3 4 5 6 7 8 9 10 →