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Analytic formulae for the one-loop order QCD corrections to the differential width of the semileptonic b decay are given with the tau polarization taken into account. Thence the polarization of tau is expressed by its energy and the…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Jezabek , P. Urban

The QCD corrections to electroweak parameters depend on the renormalization scheme and scales used to define the top-quark mass. We analyze these dependences for the W-boson mass predicted via Delta r to O(alpha alpha_s) and O(alpha…

High Energy Physics - Phenomenology · Physics 2015-06-25 B. A. Kniehl

Theoretical predictions for inclusive semileptonic B decay rates are rewritten in terms of the Upsilon(1S) meson mass instead of the b quark mass, using a modified perturbation expansion. This method gives theoretically consistent and…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andre H. Hoang , Zoltan Ligeti , Aneesh V. Manohar

The pseudoscalar sum rules of the heavy-light quark systems are used for extracting simultaneously the c,b quark masses and the decay constants f_D_(s),f_B_(s) of the D_(s),B_(s) mesons. To order alpha_s^2, one obtains the running quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stephan Narison

With the increasing experimental precision available at colliders, higher-order perturbative calculations are required to reduce the theory uncertainty in order to extract crucial QCD parameters, such as the strong coupling constant, to the…

High Energy Physics - Phenomenology · Physics 2022-08-15 Marco Saragnese

We obtain the baryon number density, n, and the excess contribution to the pressure, Delta P, at finite chemical potential, mu_B, and temperature, T, by resumming the Taylor series expansion in a lattice computation with lattice spacing of…

High Energy Physics - Lattice · Physics 2014-08-13 Sourendu Gupta , Nikhil Karthik , Pushan Majumdar

We present the deterimination of the bottom quark mass using non-relativistic $\Upsilon$ Sum Rules at $\text{N}^3\text{LO}^*$[1]. The explicit dependence of $\overline{m}_b(\overline{m}_b)$ on the input value $\alpha_s(M_Z)$ is given for…

High Energy Physics - Phenomenology · Physics 2014-07-02 Nikolai Zerf

We compute, for the first time, the absorptive part of the massless correlator of two quark scalar currents in five loops. As physical applications we consider the O(alpha_s^4) corrections to the decay rate of the Standard Model Higgs boson…

High Energy Physics - Phenomenology · Physics 2009-03-16 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

This note complements and clarifies the results obtained in the original paper {\it QCD Parameters Correlations from Heavy Quarkonia} [1] where, here, we present a more detailed discussion of the \alpha_s-results obtained @ N2LO at two…

High Energy Physics - Phenomenology · Physics 2018-12-27 Stephan Narison

We compute the \alpha_s^2\beta_0 part of the two-loop QCD corrections to the charged lepton spectrum in b \to c \ell \bar\nu_\ell decays and find them to be about 50\% of the first order corrections at all lepton energies, except those…

High Energy Physics - Phenomenology · Physics 2008-11-26 Martin Gremm , Iain Stewart

We calculate, to 3 loops in perturbation theory, the bare $\beta$-function of QCD, formulated on the lattice with the clover fermionic action. The dependence of our result on the number of colors $N$, the number of fermionic flavors $N_f$,…

High Energy Physics - Lattice · Physics 2009-11-07 A. Bode , H. Panagopoulos

Recent results for higher-order corrections to the relation between the vector-boson masses in the Standard Model and Supersymmetry are summarized. In the Standard Model, the Higgs-mass dependence of the two-loop contributions to Delta r is…

High Energy Physics - Phenomenology · Physics 2011-03-17 G. Weiglein

We evaluate masses and semileptonic decay widths for the ground state of doubly heavy $\Xi$ and $\Omega$ baryons in the framework of a nonrelativistic quark model. We solve the three-body problem by means of a variational ansatz made…

Nuclear Theory · Physics 2015-05-13 C. Albertus , E. Hernández , J. Nieves , J. M. Verde-Velasco

In this paper, we explore the properties of the bottom-quark on-shell mass ($M_b$) by using its relation to the $\overline{\rm MS}$ mass (${\overline m}_b$). At present, this $\overline{\rm MS}$-on-shell relation has been known up to…

High Energy Physics - Phenomenology · Physics 2024-11-08 Shun-Yue Ma , Xu-Dong Huang , Xu-Chang Zheng , Xing-Gang Wu

We use QCD sum rules to analyze the semileptonic transition $B \to \pi \ell \nu$ in the limit $m_b \to \infty$. We derive the dependence of the form factor $F_1(0)$ on the heavy quark mass, which is compatible with the expected dependence…

High Energy Physics - Phenomenology · Physics 2010-11-01 P. Colangelo , P. Santorelli

The features of the ordinary least squares method, which gives a possible way to a solution of the overdetermined systems of algebraic equations and allows to estimate the uncertainties of the obtained solutions, are considered. As the…

High Energy Physics - Phenomenology · Physics 2019-10-23 A. L. Kataev , V. S. Molokoedov

We improve the determination of the Higgs-boson mass in the MSSM with heavy superpartners, by computing the two-loop threshold corrections to the quartic Higgs coupling that involve both the strong and the electroweak gauge couplings.…

High Energy Physics - Phenomenology · Physics 2019-11-15 Emanuele Bagnaschi , Giuseppe Degrassi , Sebastian Paßehr , Pietro Slavich

A lattice determination of the form factor and decay constants for the semileptonic decay of heavy pseudoscalar (PS) mesons at zero recoil is presented from which the soft pion relation is satisfied. Chiral extrapolation of the form factor…

High Energy Physics - Lattice · Physics 2015-06-25 UKQCD Collaboration , K. C. Bowler , C. M. Maynard , L. Lellouch , J. Nieves , D. G. Richards , L. Del Debbio , J. M. Flynn , V. I. Lesk

Short-distance expansion of the total semileptonic B widths is reviewed for the OPE-conformable scheme employing low-scale running quark masses. The third- and fourth-order BLM corrections are given and the complete resummation of the BLM…

High Energy Physics - Phenomenology · Physics 2009-11-07 Nikolai Uraltsev

We construct approximate formulas for the O(\alpha_s^3) QCD contributions to vector, axial-vector, scalar and pseudo-scalar quark current correlators, which are valid for arbitrary values of momenta and masses. The derivation is based on…

High Energy Physics - Phenomenology · Physics 2009-10-02 Y. Kiyo , A. Maier , P. Maierhoefer , P. Marquard