arXiv subjects

Th. Mannel

Publications and source records attributed to Th. Mannel.

24 records · Page 2Linked to original sources

arXiv2005

Annihilation effects in $B \to ππ$ from QCD Light-Cone Sum Rules

Using the method of QCD light-cone sum rules, we calculate the $B \to ππ$ hadronic matrix elements with annihilation topology. We obtain a finite result, including the related strong phase. Numerically, the annihilation effects in $B\to ππ$ turn out to be small with respect to the factorizable emission mechanism. Our predictions, together with the earlier sum rule estimates of emission and penguin contributions, are used for the phenomenological analysis of $B\to ππ$ channels. We predict a $ΔI=1/2$ transition amplitude which significantly differs from this amplitude extracted from the current data.

hep-ph↗

arXiv2004

Kaon Distribution Amplitude from QCD Sum Rules

We present a new calculation of the first Gegenbauer moment $a_1^K$ of the kaon light-cone distribution amplitude. This moment is determined by the difference between the average momenta of strange and nonstrange valence quarks in the kaon. To calculate $a_1^K$, QCD sum rule for the diagonal correlation function of local and nonlocal axial-vector currents is used. Contributions of condensates up to dimension six are taken into account, including $O(α_s)$-corrections to the quark-condensate term. We obtain $a_1^K=0.05\pm 0.02$, differing by the sign and magnitude from the recent sum-rule estimate from the nondiagonal correlation function of pseudoscalar and axial-vector currents. We argue that the nondiagonal sum rule is numerically not reliable. Furthermore, an independent indication for a positive $a_1^K$ is given, based on the matching of two different light-cone sum rules for the $K\toπ$ form factor. With the new interval of $a_1^K$ we update our previous numerical predictions for SU(3)-violating effects in $B_{(s)}\to K$ form factors and charmless (B) decays.

hep-ph↗

arXiv2003

QCD Light-Cone Sum Rule Estimate of Charming Penguin Contributions in B -> pi pi

Employing the QCD light-cone sum rule approach we calculate the B -> pi pi hadronic matrix element of the current-current operator with c quarks in the penguin topology (``charming penguin''). The dominant contribution to the sum rule is due to the c-quark loop at short distances and is of O(alpha_s) with respect to the factorizable B -> pi pi amplitude. The effects of soft gluons are suppressed at least by O(alpha_s m_b^{-2}). Our result indicates that sizable nonperturbative effects generated by charming penguins at finite m_b are absent. The same is valid for the penguin contractions of the current-current operators with light quarks.

hep-ph↗

arXiv2003

Imprecated, yet Impeccable: On the Theoretical Evaluation of Gamma(B -> X_c \ell ν)

We present a detailed evaluation of the total semileptonic B meson width in terms of |V_{cb}| and heavy quark parameters (quark masses and the expectation values of local heavy quark operators). Special attention is given to perturbative corrections which can precisely be calculated in a scheme with a hard Wilsonian cutoff at a scale around 1GeV appropriate for the OPE, and to the potential impact of higher-order power corrections. We point out that the latter require control over possible contributions from four-quark operators containing charm quark fields. Analytical expressions are given which allow evaluating the width with various choices of parameters; ready-to-use expressions showing the dependence on the heavy quark parameters are presented as well. We illustrate these results by commenting on how these parameters can be extracted and what accuracy is likely to be achievable in the near future.

hep-ph↗

arXiv2001

Non-perturbative effects in semi-leptonic B_c decays

We discuss the impact of the soft degrees of freedom inside the B_c meson on its rate in the semi-leptonic decay B_c -> X l nu_l where X denotes light hadrons below the D^0 threshold. In particular we identify contributions involving soft hadrons which are non-vanishing in the limit of massless leptons. These contributions become relevant for a measurement of the purely leptonic B_c decay rate, which due to helicity suppression involves a factor m_l^2 and thus is much smaller than the contributions involving soft hadrons.

hep-ph↗

arXiv1999

Implications of Results from Z- and WW-Threshold Running

One year of Z- and WW-Threshold running of TESLA can provide the possibility to measure electroweak precision observables to an extremely high accuracy. At the Z peak O(10^9) Z bosons and about 6 10^8 b quarks can be collected. We employ the expected uncertainties ΔMW = 6 MeV and Δsin(theta_W,eff) = 0.00001 and demonstrate in this way that very stringent consistency tests of the Standard Model and the Minimal Supersymmetric Standard Model will be possible. The indirect determination of the Higgs-boson mass within the Standard Model can reach an accuracy of about 5 %. The 6 10^8 b quarks can be used to investigate various b physics topics.

hep-ph↗