A theoretical prediction of the $B_s$ meson lifetime difference

D. Becirevic; D. Meloni; A. Retico; V. Giménez; V. Lubicz; G. Martinelli

doi:doi:10.1007/s100520000502

EPJ

A theoretical prediction of the B_s meson lifetime difference

D. Becirevic¹ - D. Meloni¹ - A. Retico¹ - V. Giménez² - V. Lubicz³ - G. Martinelli⁴

¹ Dip. di Fisica, Univ. di Roma ``La Sapienza'' and INFN, Sezione di Roma, P.le A. Moro 2, 00185 Roma, Italy
² Dep. de Física Teòrica and IFIC, Univ. de València, Dr. Moliner 50, 46100, Burjassot, València, Spain
³ Dipartimento di Fisica, Università di Roma Tre and INFN, Sezione di Roma Tre, Via della Vasca Navale 84,
00146 Rome, Italy
⁴ Centre de Physique Théorique de l'École Polytechnique, 91128 Palaiseau-Cedex, France

Abstract
We present the results of a quenched lattice calculation of the operator matrix elements relevant for predicting the B_s width difference. Our main result is $\left(\Delta\Gamma_{B_s}/\Gamma_{B_s}\right)= (4.7 \pm 1.5 \pm 1.6) \times 10^{-2}$ , obtained from the ratio of matrix elements ${\cal R}(m_b)= \langle \bar B_s^0\vert Q_{S}\vert B_s^0\rangle/ \langle \bar B_s^0\vert Q_{L}\vert B_s^0\rangle=-0.93(3 )^{+0.00}_{-0.01}$ . ${\cal R}(m_b)$ was evaluated from the two relevant B parameters $B_{S}^{\overline{\mathrm {MS}}} (m_b) = 0.86(2)^{+0.02}_{-0.03}$ and $B_{B_s}^{\overline{\mathrm {MS}}} (m_b) = 0.91(3)^{+0.00}_{-0.06}$ , which we computed in our simulation.

Student Conference in Optics and Photonics 2024
October 2-4, 2024
Barcelona, Spain

EPJ

A theoretical prediction of the Bs meson lifetime difference

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A theoretical prediction of the B_s meson lifetime difference