- Gando, A;
- Gando, Y;
- Hachiya, T;
- Minh, M Ha;
- Hayashida, S;
- Honda, Y;
- Hosokawa, K;
- Ikeda, H;
- Inoue, K;
- Ishidoshiro, K;
- Kamei, Y;
- Kamizawa, K;
- Kinoshita, T;
- Koga, M;
- Matsuda, S;
- Mitsui, T;
- Nakamura, K;
- Ono, A;
- Ota, N;
- Otsuka, S;
- Ozaki, H;
- Shibukawa, Y;
- Shimizu, I;
- Shirahata, Y;
- Shirai, J;
- Sato, T;
- Soma, K;
- Suzuki, A;
- Takeuchi, A;
- Tamae, K;
- Ueshima, K;
- Watanabe, H;
- Chernyak, D;
- Kozlov, A;
- Obara, S;
- Yoshida, S;
- Takemoto, Y;
- Umehara, S;
- Fushimi, K;
- Hirata, S;
- Berger, BE;
- Fujikawa, BK;
- Learned, JG;
- Maricic, J;
- Winslow, LA;
- Efremenko, Y;
- Karwowski, HJ;
- Markoff, DM;
- Tornow, W;
- O’Donnell, T;
- Detwiler, JA;
- Enomoto, S;
- Decowski, MP;
- Menéndez, J;
- Dvornický, R;
- Šimkovic, F
We present a precision analysis of the ^{136}Xe two-neutrino ββ electron spectrum above 0.8 MeV, based on high-statistics data obtained with the KamLAND-Zen experiment. An improved formalism for the two-neutrino ββ rate allows us to measure the ratio of the leading and subleading 2νββ nuclear matrix elements (NMEs), ξ_{31}^{2ν}=-0.26_{-0.25}^{+0.31}. Theoretical predictions from the nuclear shell model and the majority of the quasiparticle random-phase approximation (QRPA) calculations are consistent with the experimental limit. However, part of the ξ_{31}^{2ν} range allowed by the QRPA is excluded by the present measurement at the 90% confidence level. Our analysis reveals that predicted ξ_{31}^{2ν} values are sensitive to the quenching of NMEs and the competing contributions from low- and high-energy states in the intermediate nucleus. Because these aspects are also at play in neutrinoless ββ decay, ξ_{31}^{2ν} provides new insights toward reliable neutrinoless ββ NMEs.