LOL. Oliver

L. Oliver

*This is an algorithmically generated author record based on publicly available information.

Current Organizations / Institutes

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Previous Organizations / Institutes

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L. Oliver has a total of 9 co-authors. Here are the top co-authors by number of shared publications:


Latest Publications

  • New results on the baryon decayΛb→Λcℓν¯ℓin heavy quark effective theory

    by Yu Jia, F. Jugeau, L. Oliver

    The baryon differential spectrum of the baryon decay $\Lambda${}b$\rightarrow${}$\Lambda${}c$\ell${}$\nu${}\ifmmode\bar\else\textasciimacron\fi{}$\ell${} will hopefully be measured in detail at LHCb. We obtain some new results on the form factors in the heavy quark expansion of Heavy Quark Effective Theory that can be useful in the interpretation of the data. We formulate a sum rule for the elastic subleading form factor A(w) at order 1/mQ, that originates from the Lagrangian perturbation Lkin. In the sum rule appear only the intermediate states (jP,JP)=(0+,12+), entering also in the 1/mQ2 correction to the axial form factor G1(w), that contributes to the differential rate at zero recoil w=1. This result, together with another sum rule in the forward direction for |G1(1)|2, allows to obtain a lower bound for the correction at zero recoil -$\delta${}1/mQ2(G1) in terms of the derivative A1$'${}(1) and the slope $\rho${}$\Lambda${}2 and curvature $\sigma${}$\Lambda${}2 of the elastic Isgur-Wise function $\xi${}$\Lambda${}(w). Another theoretical implication is that A$'${}(1) must vanish for some relation between $\rho${}$\Lambda${}2 and $\sigma${}$\Lambda${}2, as well as for $\rho${}$\Lambda${}2$\rightarrow${}0, establishing a nontrivial correlation between the leading IW function $\xi${}$\Lambda${}(w) and the subleading one A(w). A phenomenological estimation of these two functions allows to obtain a lower bound on -$\delta${}1/mQ2(G1).


  • Explicit Form of the Isgur-Wise function in the BPS limit

    by F. Jugeau, A. Le Yaouanc, L. Oliver, J.-C. Raynal

    Using previously formulated sum rules in the heavy quark limit of QCD, we demonstrate that if the slope ρ2=−ξ′(1) of the Isgur-Wise (IW) function ξ(w) attains its lower bound 34, then all the derivatives (−1)Lξ(L)(1) attain their lower bounds (2L+1)!!22L, obtained by Le Yaouanc et al. This implies that the IW function is completely determined, given by the function ξ(w)=(2w+1)3/2. Since the so-called BPS condition proposed by Uraltsev implies ρ2=34, it implies also that the IW function is given by the preceding expression.


  • Open Access

    The Isgur-Wise function in the BPS limit

    by F. Jugeau, A. Le Yaouanc, L. Oliver, J. -C. Raynal

    From sum rules in the heavy quark limit of QCD, using the non-forward amplitude, we demonstrate that if the slope rho^2 = -xsi'(1) of the Isgur-Wise function xsi(w) attains its lower bound 3/4 (as happens in the BPS limit proposed by Uraltsev), the IW function is completely determined, given by the function xsi(w) = [2/(w+1)]^(3/2).

  • Open Access

    Explicit form of the Isgur-Wise function in the BPS limit

    by F. Jugeau, A. Le Yaouanc, L. Oliver, J. -C. Raynal

    Using previously formulated sum rules in the heavy quark limit of QCD, we demonstrate that if the slope rho^2 = -xi'(1) of the Isgur-Wise function xi(w) attains its lower bound 3/4, then all the derivatives (-1)^L xi^(L)(1) attain their lower bounds (2L+1)!!/2^(2L), obtained by Le Yaouanc et al. This implies that the IW function is completely determined, given by the function xi(w) = [2/(w+1)]^(3/2). Since the so-called BPS condition proposed by Uraltsev implies rho^2 = 3/4, it implies also that the IW function is given by the preceding expression.

  • Tensor force in HQET and the semileptonicB¯decay to excited vector mesonsD(32 −,1−)

    by F. Jugeau, A. Le Yaouanc, L. Oliver, J.-C. Raynal

    We extend the formalism of Leibovich, Ligeti, Stewart and Wise in the 1/mQ expansion of Heavy Quark Effective Theory for the B¯ semileptonic decays into excited D(32 +) mesons to the opposite parity states D(32 −). For D(32 +) the 1/mQ current perturbation dominates over the leading term at zero recoil, while for D(32 −) the 1/mQ perturbation due to Lmag dominates also at zero recoil. We show that the corresponding 1/mQ magnetic coupling is proportional to the mixing between the states D(32 −,1−) and D(1 2 −,1−) induced by the tensor force. We point out some subtleties that appear in this respect in HQET.

  • Lagrangian perturbations at order1/mQand the nonforward amplitude in heavy quark effective theory

    by F. Jugeau, A. Le Yaouanc, L. Oliver, J.-C. Raynal

    We pursue the program of the study of the nonforward amplitude in heavy quark effective theory (HQET). We obtain new sum rules involving the elastic subleading form factors χi(w) (i=1,2,3) at order 1/mQ that originate from the Lkin and Lmag perturbations of the Lagrangian. To obtain these sum rules we use two methods. On the one hand we start simply from the definition of these subleading form factors, and on the other hand, we use the operator product expansion. To the sum rules contribute only the same intermediate states (jP,JP)=(12−,1−),(32−,1−) that enter in the 1/mQ2 corrections of the axial form factor hA1(w) at zero recoil. This allows to obtain a lower bound on −δ1/m2(A1) in terms of the χi(w) and the shape of the elastic IW function ξ(w). We find also lower bounds on the 1/mQ2 correction to the form factors h+(w) and h1(w) at zero recoil. An important theoretical implication is that χ1′(1), χ2(1) and χ3′(1) (χ1(1)=χ3(1)=0 from Luke theorem) would vanish if the slope and the curvature of ξ(w), ρ2≥34, σ2≥1516, would attain their lowest bounds. We discuss possible implications on the precise determination of |Vcb|.


  • Decays B¯→D**π and the Isgur-Wise functions τ1/2(w), τ3/2(w)

    by F. Jugeau, A. Le Yaouanc, L. Oliver, J.-C. Raynal

    We perform a phenomenological analysis of the decays B¯→D**π, where D** is a P-wave excited meson with total angular momentum j=12 or 32 for the light cloud, recently measured by the Belle Collaboration in the modes B¯0→D**+π− (Class I) and B−→D**0π− (Class III). Making the reasonable assumption of naive factorization, that we test in B→D(D*)π decays, Class I decays allow to extract the Isgur-Wise form factors τ1/2(w), τ3/2(w) at w≅wmax (q2≅0). We obtain τ1/2(wmax)<0.20, τ3/2(wmax)=0.31±0.12. We discuss the question of the w dependence of these IW functions. We find agreement with the Bakamjian-Thomas quark model of form factors and, extrapolating at w=1, with Bjorken and Uraltsev sum rules. We discuss also Class III decays, where the D**0 (j=12) emission diagram contributes. We extract the corresponding fD1/2 decay constant, that is in agreement with theoretical estimates at finite mass. Finally, we must warn that 1/mQ corrections could be large and upset the results of the present stage of this analysis. On the other hand, we confront present data on the semileptonic rate of B mesons to excited states with theoretical expectations.


  • Open Access

    Lagrangian perturbations at order 1/m$_{\bf Q}$ and the non-forward amplitude in Heavy Quark Effective Theory

    by F. Jugeau, A. Le Yaouanc, L. Oliver, J. -C. Raynal

    We pursue the program of the study of the non-forward amplitude in HQET. We obtain new sum rules involving the elastic subleading form factors $\chi_i(w)$ $(i = 1,2, 3)$ at order $1/m_Q$ that originate from the ${\cal L}_{kin}$ and ${\cal L}_{mag}$ perturbations of the Lagrangian. To obtain these sum rules we use two methods. On the one hand we start simply from the definition of these subleading form factors and, on the other hand, we use the Operator Product Expansion. To the sum rules contribute only the same intermediate states $ (j^P, J^P) = ({1 \over 2}^-, 1^-), ({3\over 2}^-, 1^-)$ that enter in the $1/m_Q^2$ corrections of the axial form factor $h_{A_1}(w)$ at zero recoil. This allows to obtain a lower bound on $- \delta_{1/m^2}^{(A_1)}$ in terms of the $\chi_i(w)$ and the shape of the elastic IW function $\xi (w)$. We find also lower bounds on the $1/m_Q^2$ correction to the form factors $h_+(w)$ and $h_1(w)$ at zero recoil. An important theoretical implication is that $\chi '_1(1)$, $\chi_2(1)$ and $\chi '_3(1)$ ($\chi_1(1) = \chi_3(1) = 0$ from Luke theorem) must vanish when the slope and the curvature attain their lowest values $\rho^2 \to {3 \over 4}$, $\sigma^2 \to {15 \over 16}$. We discuss possible implications on the precise determination of $|V_{cb}|$.

  • Open Access

    The decays $\bar{B} \to D^{**}π$ and the Isgur-Wise functions $τ_{1/2}(w)$, $τ_{3/2}(w)$

    by F. Jugeau, A. Le Yaouanc, L. Oliver, J. -C. Raynal

    We perform a phenomenological analysis of the decays $B \to D^{**}\pi$, where $D^{**}$ is a $P$-wave excited meson with total angular momentum $j = {1 \over 2}$ or ${3 \over 2}$ for the light cloud, recently measured by the Belle Collaboration in the modes $\bar{B}^0\to D^{**+}\pi^-$ (Class I) and $B^- \to D^{**0}\pi^-$ (Class III). Making the reasonable assumption of naive factorization, that we test in $B \to D(D^*)\pi$ decays, Class I decays allow to extract the Isgur-Wise form factors $\tau_{1/2}(w)$, $\tau_{3/2}(w)$ at $w \cong w_{max}$ ($q^2 \cong 0$). We obtain $\tau_{1/2}(w_{max}) < 0.20$, $\tau_{3/2}(w_{max}) = 0.31 \pm 0.12$. We discuss the question of the $w$ dependence of these IW functions. We find agreement with the Bakamjian-Thomas quark model of form factors and, extrapolating at $w=1$, with Bjorken and Uraltsev sum rules. We discuss also Class III decays, where the $D^{**0}$ $(j = {1 \over 2})$ emission diagram contributes. We extract the corresponding $f_{D_{1/2}}$ decay constant, that is in agreement with theoretical estimates at finite mass. Finally, we must warn that $1/m_Q$ corrections could be large and upset the results of the present stage of this analysis. On the other hand, we confront present data on the semileptonic rate of $B$ mesons to excited states with theoretical expectations.

  • Subleading form factors at order1/mQin terms of leading quantities using the nonforward amplitude in heavy quark effective theory

    by F. Jugeau, A. Le Yaouanc, L. Oliver, J.-C. Raynal

    We consider the nonforward amplitude within the heavy quark effective theory. We show that one can obtain new information on the subleading corrections in 1/mQ. We illustrate the method by deriving new simple relations between the functions ξ3(w) and Λ¯ξ(w) and the sums ∑nΔEj(n)τj(n)(1)τj(n)(w) (j=12,32), that involve leading quantities, namely, the Isgur-Wise functions τj(n)(w) and the level spacings ΔEj(n). Our results follow because the nonforward amplitude B(vi)→D(n)(v′)→B(vf) depends on three variables (wi,wf,wif)=(vi·v′,vf·v′,vi·vf) independent in a certain domain, and we consider the zero recoil frontier (w,1,w) where only a finite number of jP states contribute (12+,32+). These sum rules reduce to known results at w=1, for Λ¯ obtained by Voloshin, and for ξ3(1) obtained by Le Yaouanc et al. and by Uraltsev, and generalizes them to all values of w. We discuss phenomenological applications of these results, in particular the check of Bakamjian-Thomas quarks models and the comparison with the QCD sum rules approach.