arXiv subjects

K-I. Ishikawa

Publications and source records attributed to K-I. Ishikawa.

77 records · Page 5Linked to original sources

arXiv1997

First study of $B \to π$ semileptonic decay form factors using NRQCD

We present a quenched calculation of the form factors of the semileptonic weak decay $B \to πl \barν$ with $O(1/m_Q)$ NRQCD heavy quark and Wilson light quark on a $16^3 \times 32$ lattice at $β=5.8$. The form factors are evaluated at six heavy quark masses, in the range of $m_Q \sim 1.5-8$ GeV. $1/m_Q$ dependence of matrix elements are investigated and compared with HQET predictions. We observe clear signal for the form factors near $q^2_{max}$, even at the $b$-quark mass range. $f^0(q^2_{max})$ is compared with $f_B/f_π$ based on the soft pion theorem and significant difference is observed.

hep-lat↗

arXiv1997

Heavy quark mass dependence of semileptonic form factors for B decays

We present our study of the dependence of the heavy-to-light semileptonic B decay form factors on the heavy-light meson mass $M_{PS}$. Simulations are made over a range of the heavy quark mass covering both the charm and bottom quarks using the $O(a)$-improved clover action at $β=5.9$ on a $16^3\times 40$ and $24^3\times 64$ lattice. We find that a weak dependence of form factors on $M_{PS}$ observed in previous studies in the region of charm quark persists up to the region of$b$ quark. The soft pion relation $f^0(q^2_{max})=f_B/f_π$ is examined and found to be largely violated.

hep-lat↗

arXiv1997

Perturbative renormalization parameters for heavy quarks

We study the heavy quark mass dependence of the perturbative renormalization factors for the heavy-light currents involving Wilson, Clover, and NRQCD heavy quarks. We find that the one-loop Z-factor for the axial-vector current depends significantly on the heavy quark mass commonly for all actions we study, while that for the vector current has smaller dependence.

hep-lat↗

arXiv1997

A study of $O(1/m_{Q}^{2})$ corrections for $f_{B}$ with lattice NRQCD

We investigate higher order effects in the nonrelativistic expansion of lattice QCD on the heavy-light meson decay constants and some other quantities in order to understand the truncation error of NRQCD. While our numerical results have large $O(a)$ and $O(α_s)$ errors due to the use of Wilson light quark action and the tree-level matching, we find that the truncation error of higher order relativistic corrections are adequately small around the mass of the $b$ quark. We also present a perturbatively matched results through 1-loop level without operator mixing effects.

hep-lat↗

arXiv1997

f_B with lattice NRQCD including O(1/m_Q^2) corrections

We calculate the heavy-light meson decay constant using lattice NRQCD action for the heavy quark and Wilson quark action for the light quark over a wide range in the heavy quark mass. Simulations are carried out on a 16^3 x 32 lattice with 120 quenched gauge configurations generated with the plaquette action at beta=5.8. For the heavy quark part of the calculation, two sets of lattice NRQCD action and current operator are employed. The first set includes terms up to O(1/m_Q) both in the action and the current operator, and the second set up to O(1/m_Q^2), where m_Q is the bare mass of the heavy quark. Tree-level values with tadpole improvement are employed for the coefficients in the expansion. We compare the results obtained from the two sets in detail and find that the truncation error of higher order relativistic corrections for the decay constant are adequately small around the mass of the b quark. We also calculate the 1S hyperfine splitting of B meson, M_{B_s} - M_B and f_{B_s}/f_B with both sets and find that the 1/m_Q^2 corrections are negligible. Remaining systematic errors and the limitation of NRQCD theory are discussed.

hep-lat↗