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$gamma^* N rightarrow Delta^{+}(1600)$ transition form factors in light-cone sum rules

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 Added by Takhmasib Aliev
 Publication date 2020
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and research's language is English




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The form factors of $gamma^* N rightarrow Delta(1600)$ transition is calculated within the light-cone sum rules assuming that $Delta^+(1600)$ is the first radial excitation of $Delta(1232)$. The $Q^2$ dependence of the magnetic dipole $tilde{G}_M(Q^2)$, electric quadrupole $tilde{G}_E(Q^2)$, and Coulomb quadrupole $tilde{G}_c(Q^2)$ form factors are investigated. Moreover, the $Q^2$ dependence of the ratios $R_{EM} = -frac{tilde{G}_E(Q^2)}{tilde{G}_M{Q^2}}$ and $R_{SM} = - frac{1}{4 m_{Delta(1600)}^2} sqrt{4 m_{Delta(1600)}^2 Q^2 + (m_{Delta(1600)}^2 - Q^2 - m_N^2)^2} frac{tilde{G}_c(Q^2)}{tilde{G}_M(Q^2)}$ are studied. Finally, our predictions on $tilde{G}_M(Q^2)$, $tilde{G}_E(Q^2)$, and $tilde{G}_C(Q^2)$ are compared with the results of other theoretical approaches.



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73 - T. M. Aliev , H. Dag , A. Kokulu 2019
We present a new calculation of the semileptonic tree-level and flavor-changing neutral current form factors describing $B$-meson transitions to tensor mesons $T=D_2^*,K_2^*,a_2,f_2$ ($J^{P}=2^{+}$). We employ the QCD Light-Cone Sum Rules approach with $B$-meson distribution amplitudes. We go beyond the leading-twist accuracy and provide analytically, for the first time, higher-twist corrections for the two-particle contributions up to twist four terms. We observe that the impact of higher twist terms to the sum rules is noticeable. We study the phenomenological implications of our results on the radiative ${B} to K_2^{*}gamma$ and semileptonic ${B} to D_2^* ell {bar u}_ell$, ${B} to K_2^{*}ell^+ell^-$ decays.
We reconsider and update the QCD light-cone sum rules for $Bto pi$ form factors. The gluon radiative corrections to the twist-2 and twist-3 terms in the correlation functions are calculated. The $bar{MS}$ $b$-quark mass is employed, instead of the one-loop pole mass used in the previous analyses. The light-cone sum rule for $f^+_{Bpi}(q^2)$ is fitted to the measured $q^2$-distribution in $Bto pi l u_l$, fixing the input parameters with the largest uncertainty: the Gegenbauer moments of the pion distribution amplitude. For the $Bto pi$ vector form factor at zero momentum transfer we predict $f^+_{Bpi}(0)= 0.26^{+0.04}_{-0.03}$. Combining it with the value of the product $|V_{ub}f^+_{Bpi}(0)|$ extracted from experiment, we obtain $|V_{ub}|=(3.5pm 0.4pm 0.2pm 0.1) times 10^{-3}$. In addition, the scalar and penguin $Bto pi$ form factors $f^0_{Bpi}(q^2)$ and $f^T_{Bpi}(q^2)$ are calculated.
We derive new QCD sum rules for $Bto D$ and $Bto D^*$ form factors. The underlying correlation functions are expanded near the light-cone in terms of $B$-meson distribution amplitudes defined in HQET, whereas the $c$-quark mass is kept finite. The leading-order contributions of two- and three-particle distribution amplitudes are taken into account. From the resulting light-cone sum rules we calculate all $Bto Dst $ form factors in the region of small momentum transfer (maximal recoil). In the infinite heavy-quark mass limit the sum rules reduce to a single expression for the Isgur-Wise function. We compare our predictions with the form factors extracted from experimental $Bto Dst l u_l$ decay rates fitted to dispersive parameterizations.
We study the electromagnetic nucleon form factors within the approach based on light-cone sum rules. We include the next-to-leading-order corrections for the contributions of twist-three and twist-four operators and a consistent treatment of the nucleon mass corrections in our calculation. It turns out that a self-consistent picture arises when the three valence quarks carry $40%:30%:30%$ of the proton momentum.
The form factors of the semileptonic $Bto pipiellbar u$ decay are calculated from QCD light-cone sum rules with the distribution amplitudes of dipion states. This method is valid in the kinematical region, where the hadronic dipion state has a small invariant mass and simultaneously a large recoil. The derivation of the sum rules is complicated by the presence of an additional variable related to the angle between the two pions. In particular, we realize that not all invariant amplitudes in the underlying correlation function can be used, some of them generating kinematical singularities in the dispersion relation. The two sum rules that are free from these ambiguities are obtained in the leading twist-2 approximation, predicting the $bar{B}^0to pi^+pi^0$ form factors $F_{perp}$ and $F_{parallel}$ of the vector and axial $bto u$ current, respectively. We calculate these form factors at the momentum transfers $0<q^2lesssim 12 $ GeV$^2$ and at the dipion mass close to the threshold $4m_pi^2$. The sum rule results indicate that the contributions of the higher partial waves to the form factors are suppressed with respect to the lowest $P$-wave contribution and that the latter is not completely saturated by the $rho$-meson term.
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